Multiply and Simplify Fractions

How To : Divide basic fractions

For people who do not know how to divide basic fractions or who would like to refresh themselves or get some exercise in doing so, this video will show you a few quick and simple examples to get you started. In order to divide fractions, you will need to keep the first number ...more

How To : Solve Proportions

In this how to you will learn about proportions. A proportion is comparing two ratios. Here is an example of a problem. First, you cross multiply and show your work. Next, you simplify. After, in order to get the variable alone, you divide each side by four. Since you can't di ...more

How To : Solve Equations with Fractions

Solving Equations with Fractions Using Addition In our first example, our equation is b - 11/10 = -13/5 We need to find out what the variable, 'b', is. A variable is a symbol that stands for an unknown number. To do so, we have to isolate the variable, meaning that we have t ...more

How To : Write a decimal number as a simplified fraction

From Ramanujan to calculus co-creator Gottfried Leibniz, many of the world's best and brightest mathematical minds have belonged to autodidacts. And, thanks to the Internet, it's easier than ever to follow in their footsteps. With this installment from Internet pedagogical sup ...more

How To : Divide rational expressions containing trinomials

In this video the instructor shows how to divide rational expressions that contain trinomials. A division containing two fractions can always be turned into a multiplication by multiplying the first fraction by the reciprocal of the second fraction. This way any division can b ...more

How To : Use implicit differentiation

Taking this formula 9x²+y²=9 your instructor shows you how to find the solution for the variable y. Finding a second derivative is no more difficult that finding the first derivative, you only have to do the problem equation through twice. The derivative of 9x² will be 18, of ...more

How To : Solve simple linear equations in algebra

Solving linear equations in algebra is done with multiplication, division, or reciprocals. Using reciprocals, or multiplicative inverse, as well as multiplying and dividing with certain formulas, you can solve linear equation word problems. Could you use a little help figuring ...more

How To : Use FOIL to distribute two binomials in algebra

Learn how to use the FOIL method to distribute two binomial expressions in algebra. The FOIL method — which stands for first, outer, inner, and last — takes two binomials and multiplies them for a single quadratic equation. Solving for binomials with FOIL takes just a few step ...more

How To : Simplify expressions involving absolute value

Need to know how to simplify expressions involving absolute values? It's an absolute cinch. Learn how with this free video lesson. From Ramanujan to calculus co-creator Gottfried Leibniz, many of the world's best and brightest mathematical minds have belonged to autodidacts. A ...more

How To : Use cross products to solve proportions

To solve a proportion for a variable you should employ cross multiplication. The basis of cross multiplication is the property which states that the product of the numerator of one fraction and the denominator of what it is set equal to is equal to the product of the remaining ...more

How To : Solve word problems using proportions

This video shows the method to solve word problems using proportions. In the given problem, we have to find the time taken by a person to type 390 words if the person takes 1 minute to type 30 words. This can be solved using proportions. We take two fractions which are equal. ...more

How To : Simplify square roots in math

In this video the instructor shows how to simplify radicals. A radical is nothing but another name for a square root. To find the square root of a simple number the first thing that you need to do is factor it. If you need to compute the square root of a number, you first need ...more

How To : Multiply rational expressions in two "easy" steps

In this Math Made Easy tutorial the instructor shows how to multiply rational equations. He states that multiplying rational equations is simply a process of simplifying equations, in which he says that first the polynomial equations should be factorized. He further shows how ...more

How To : Subtract basic fractions in simple mathematics

This video tutorial is in the Education category which will show you how to subtract basic fractions in simple mathematics. You can do basic subtraction of fractions if the denominators are the same. If they are not, then find the lowest common multiple of the denominators and ...more

How To : Do fraction multiplication

This is a video tutorial in the Education category where you are going to learn how to do fraction multiplication. Before multiplying two fractions together by multiplying across the numerators and the denominators, you should always try to cross cancel as your 1st step. For e ...more

How To : Cancel out in basic algebra

This video gives you brief tutorial on simplifying expressions, or canceling out common factors. He starts out by answering the question "What is canceling?" and demonstrates a basic example. You find the greatest common factor between the numerator and denominator, which you ...more

How To : Multiply rational expressions with opposite signs

In this video the instructor shows how to multiply and write rational expressions in lowest terms. The fist thing you need to do is cancel out the common factors in the numerator and the denominator. You can cancel a term in the top with a term in the bottom even if they are d ...more

How To : Divide decimals

Here we are, learning how to divide decimals. So we are dividing a whole number or a fraction by a fraction. How this presenter does this is by moving the decimal two places to the right on both the top and bottom of the sum. In other words, he multiplies the two numbers by 10 ...more

How To : Convert mixed numbers into improper fractions

For example consider 1 and 2/3. In this mixed fraction 1 is the whole number and 2/3 is the fraction. You simply have to multiply the denominator with the whole number and add the numerator to the resulting answer. Consider the fraction 1 and 2/3.All you have to do is multiply ...more

How To : Solve single-step equation by multiplication

This video will show you the simple mathematical concept of solving a single-step equation using multiplication. This is very useful for equations in which you need to solve for a variable and the variable is a part of a fraction. The example provided in the video shows a very ...more

How To : Evaluate fractions containing variables

This video is a great one on learning about evaluating fractions. The voice explains how to first plug in the numbers given for each variable in the fractions. He also explains the importance of simplifying the top and bottom first before simplifying the entire fraction. He al ...more

How To : Divide fractions by "flipping & dipping"

The instructor in this video gives a tutorial on how to divide fractions by "flipping & dipping" method. He says that to divide two fractions we need to follow two steps of flipping and dipping. He says to write the first fraction as it self and flip the second fraction and wr ...more

How To : Balance chemical equations

Not sure how to balance a chemical equation? According to the rules of chemistry, matter must be conserved in chemical reactions. When you balance a chemical equation, you account for all of the matter in the reaction. What you will need: • An unbalanced chemical equation • ...more

How To : Solve inequalities with fractions in algebra

Solving math inequalities with fractions is easy when applying the rules presented in this video. • When you add or subtract the same number from each side of an inequality, the relationship between the two sides does not change. • When you multiply or divide each side of an ...more

How To : Divide mixed numbers quickly and easily

Dividing mixed numbers may seem like a complicated operation. However, this brief video makes it simple. The illustrations in this video show you step-by-step how to divide mixed numbers using a very simple method. It involves taking the reciprocal of the second fraction. This ...more

How To : Change mixed numbers to improper fractions

In this Math tutorial, you will learn how to convert a mixed number into an improper fraction. The narrator explains the process in a very concise yet simple manner that will make math problems involving mixed numbers so much easier to solve. The general idea is to multiply th ...more

How To : Do operations with radical expressions

Radical expressions are those in which the radical symbol (under root sign denoting the square root or the nth root) is present (either multiplied or added). Solving these is a bit tricky, but involves similar algebraic maneuvers in a different way. This video begins with an ...more

How To : Understand negative exponents

In this video, we learn how to understand negative exponents. The one rule you have to remember is when you have a number with a negative power, then you need to divide it over one. You can take this term and put it in the denominator of your fraction to make it a positive exp ...more

How To : Rationalize square roots

In this tutorial, we learn how to rationalize square roots. You cannot have square roots in the denominator of an equation. You need to multiply so the square root goes away. You can do this by multiplying the top and bottom of the equation by the bottom denominator. From here ...more

How To : Rationalize a denominator that contains a surd

In this video, we learn how to rationalize a denominator that contains a surd. First, you need to rationalize the denominator by removing any square root sign. To do this, you will multiply the fraction but the flip of the denominator over itself, with the square root. Then, y ...more

How To : Divide and give an answer as a fraction

In this video we learn how to divide and give an answer as a fraction. If you are starting out with a simple fraction, you will simply take the number before the divide sign on the top and the second number on the bottom. If you end up with a number that is able to be simplifi ...more

How To : Add fractions with unlike denominators

In order to add fractions that are not alike, you will need to find the lowest common denominator. This is the least common multiple of the fractions. To add 2/3 plus 1/5, you will need to find the lowest common denominator. Here, it is best to think of all of the multiples of ...more

How To : Convert mixed numbers into top heavy fractions

In this video tutorial, viewers learn how to convert mixed numbers to top heavy fractions. This task is very easy, fast and simple. Begin by multiplying the whole number with the denominator and then add the numerator. In the final answer, the numerator will be greater than th ...more

How To : Divide fractions with examples

In this Education video tutorial you will learn how to divide fractions with examples. For example let us divide 1/5 with 3/4. This we can do by changing the division sign in to multiplication sign provided we swap the numerator and the denominator of the divisor to get its re ...more

How To : Change percents into fractions

Fractions are numbers written in the form a/b, where a, b are integers. Fractions can also be expressed in the form of percents by multiplying the value of the fraction with hundred. So we can always change percents to fractions and also fractions to percents. Remember that pe ...more

How To : Apply the distributive property in math

To solve simple algebraic expressions you have to use different properties. Distributive property is one among them. To apply distributive property in a algebraic expression multiply each term inside the parenthesis by the outside term. In this way you are distributing the out ...more

How To : Divide rational numbers

Khanacademy tackles problems involving multiplicative inverse (i.e. taking the number one and dividing it by that number) and dividing rational numbers in its simplest form (lowest common form). The multiplicative inverse of a number is where the number one is divided by the ...more

How To : Divide exponents with the quotient rule

Exponent of a number is nothing but the number multiplied to it self the exponent number of times. So five squared it equal to five multiplied to it self. Now when an exponential number is divided with another such number the result is the number raised to the different of the ...more

How To : Simplify an exponential expression in algebra

In this Education video tutorial you will learn how to simplify an exponential expression in algebra. There are neither audio nor typed instructions in this video. It is a demonstration of the steps involved in the process. To do this, simply expand the exponentials and then m ...more

How To : Add and subtract radicals

Radicals are square roots which are not integers; the square roots of 2 or 3 are examples of radicals. The presenters show simple ways of how to add and subtract such radicals. They explain that by using the method of factoring, the addition or subtraction is made very easy. I ...more

How To : Simplify fourth roots

In this video the instructor shows how to find out the fourth roots of a number. The properties of fourth root says that for any positive number of a, its fourth roots are real. And for any negative value a, its fourth roots are not real. So split the number inside the fourth ...more

How To : Simplify expressions with different exponents

This video shows the method to simplify expressions with different exponents. The video starts with the explanation of 16 raised to the power 1/4. This can be solved by taking the nth or the 4th root of 16 where n stands for the denominator of the fraction. Then the video expl ...more

How To : Understand equivalent fractions

In this video the instructor teaches about equivalent fractions. When given a problem to determine if two fractions are equivalent fractions the first thing to do is write them in the lowest terms. A fraction is said to be in the lowest terms if the greatest common divisor of ...more

How To : Square expressions involving radicals

Here we look at squaring expressions that involve radicals because people tend to make some common mistakes while solving such expressions. Take 5 times the square root of y quantity squared, the answer here is not 5y. Here's the reason, square means to multiply something with ...more

How To : Add & subtract rational expressions

In this video the instructor shows how to add and subtract rational expressions. When you have an addition or subtraction problem of rational expressions, first look and compare the denominator of all the terms. If all of them have the same denominator then the expression can ...more

How To : Compare exponential expressions

In this video the tutor shows how to compare exponential expressions and judge if they are equivalent. He shows how to do this using examples to simply exponential expressions. Now after simplifying the numerator and denominator separately he reduces the fraction to arrive at ...more

How To : Factor & find zeros of a polynomial

This is the video about how to Factor & find zeros of a polynomial. How did I know that x=1 and x=-1 were roots of the polynomial. Suppose the polynomial has a rational root, let's call it. I will assume that p and q are co prime, i.e., the fraction is reduced to lowest terms. ...more

How To : Convert between fractions, decimals, and percents

In this tutorial the author explains of how to find out percentages of a given number. He explains that x percent of some number y is x multiplied by y and divided by 100. He goes on and explains this concept with numerous examples. He suggests a short cut to move the decimal ...more

How To : Convert mixed numbers to improper fractions

The author in this tutorial shows how to convert mixed numbers into improper fractions. A mixed number has a big number to its left, a numerator for the fraction part and a denominator too for the fraction part. Now to convert the mixed number to improper fraction we first hav ...more

How To : Convert percents to fractions.

The video shows on a simple example how to convert a given percentage into a fraction. It requires basic knowledge about simplifying fractions. This how-to video does not feature spoken word or any kind of sound. The explanation is done with animated figures and explanatory wr ...more

How To : Find equivalent fractions

In this video the tutor explains about the concept of Equivalent Fractions and how to find them. She states that equivalent fractions are fractions with same value. She explains this with an example saying that a fraction can have many forms in their unreduced states and all t ...more

How To : Convert units

In this tutorial the instructor shows how to convert lengths between different units. He show a two step approach where in the first step he setups a relation between centimeters and meters showing that 100 cm equals 1 meter. Now he writes it down in a fraction form and equate ...more

How To : Deal with brackets in polynomial fractions

When dealing with brackets in polynomial problems the first thing you need to notice is if there is a negative sign before the bracket. If there is not then all you need to do is get rid of the bracket and combine similar terms. If there is a negative sign then you need to mul ...more

How To : Convert fractions to percents in two steps

This video shows you how to easily convert fractions to percents. You can convert fractions to percents in 2 easy steps. The first step is multiplying the fraction by 100 (e.g.. your fraction is 3/5; 3/5 x 100 = 3/5 x 100/1 = 300/5). The second step is reducing the fraction, w ...more

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