Divide and Simplify Fractions with Variables

How To : Simplify complex fractions with variables

In order to simplify complex variables, you must first consider the numerical values separate from the variable. In the case of 24x/48x, you would look at the numbers alone to see if they have any factors. These numbers have the number 6 in common. So, divide it by 6. This wil ...more

How To : Simplify fractions with variables in basic algebra

Need help reducing fractions containing algebraic variables? 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. And, thanks to the Internet, it' ...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 : Solve for ratios and proportions

In this tutorial the instructor shows how to solve ratios and proportions. He gives a two step approach to solve an equality of two fractions in which the value of a variable in unknown. He says that in the first step we should cross multiply the numbers across the diagonal. I ...more

How To : Reduce and simplify fractions

In this tutorial, we learn how to reduce and simplify fractions. When you do this, you want to make sure you have taken common factors out of the top and bottom, then divide them out until the only common factor is the number one. You will keep going until you get to this poin ...more

How To : Convert fractions to decimals

In this tutorial, we learn how to divide fractions into decimals. First, you will want to divide your numerator by your denominator. If you can simplify this number further, it will make it easier for you to divide. You can do this on the calculator, or you can do it by hand. ...more

How To : Solve equations with fractions and decimals

In this tutorial the instructor shows how to solve equations with fractions and decimals. When you have a fraction first try to simplify it by canceling out the common factors in the numerator and the denominator. If there are any decimals convert them into fractions. Now if y ...more

How To : Divide fractions by multiplying by the reciprocal

Having a hard time with dividing fractions? Learn the simple steps it takes to complete these division problems. With this instructional educational video you learn the golden rule, "NEVER DIVIDE FRACTIONS" Instead you multiply by the reciprocal which is the flipped version of ...more

How To : Simplify complex fractions

In this video you can learn how to simplify complex fractions. Look at the example in the illustration. To simplify this complex problem, you would first add the number 1 under the whole number in the denominator, to make it a fraction. Then change it from a division problem b ...more

How To : Simplify square roots easily

robichaudd teaches you how to simplify square roots. When you're dealing with variables, even powers and you want to find out the square root of it, you follow the process. Divide the power by the root, which is two, because it's a square root, that gives you what comes out. I ...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 : 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 : 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 : Divide rational expressions

In this video the instructor shows how to divide rational expressions. To divide rational expressions follow this simple four step approach. In the fist step change the division to multiplication by flipping the second fraction. Now the original division simplifies to multipli ...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 : Simplify complex rational expressions

In order to simplify complex rational expressions, it is important to be able to find the lowest common denominator. Complex rational expressions are fractions that are divided by fractions. When you have found the lowest common denominator, then, you should multiply both frac ...more

How To : Isolate a variable

If you're struggling a bit with algebra, check out this video to learn how to isolate a variable. Isolating a variable is a matter of separating and simplifying. Step 1: Bring like terms together Bring like terms together. All equations have two sides. You want to perform t ...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 : 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 : 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 : Change decimals to fractions

In this tutorial, we learn how to change decimals to fractions. First, you will take your decimal and put it over 1. Any number divided by 1 will be that number that you started with. To get rid of the decimal, you can multiply it by hand and moving the numbers to the left. To ...more

How To : Divide mixed numbers

In order to divide mixed numbers, you should change the mixed numbers into improper fractions. With the problem 5 ¼ divided by 2 3/8, you should convert both mixed fractions to improper fractions. 5 ¼ becomes 21/4, when you multiply 4 times 5 and add one. 2 3/8 becomes 19/8, ...more

How To : Add mixed numbers in fractions with math

In order to add mixed number in fractions, in a math problem, you will need to focus on the denominator. The denominator is the lower number in the fraction. The top number is called the numerator. When you look at the denominator, you should try to figure out if the denomina ...more

How To : Divide mixed numbers in mathematics

Looking for a primer on how to divide mixed numbers in basic arithmetic? See how it's done with this free video math lesson. From Ramanujan to calculus co-creator Gottfried Leibniz, many of the world's best and brightest mathematical minds have belonged to autodidacts. And, th ...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 : Work with decimal numbers in prealgebra

You can do simple decimal calculation with out using a calculator once you understand the basic concept of decimals. In decimal equations when you have various operations between decimal numbers, you have to go by the order of operations in simplifying it. The order of operati ...more

How To : Simplify complex fraction

In this video the instructor shows how to simplify a complex fraction. A complex fraction is a fraction that has fractions in both the numerator and the denominator of the original fraction. Complex fractions can look intimidating but are generally simple to solve, as shown in ...more

How To : Multiply and divide three rational expressions

In this video, the instructor shows how to multiply and divide rational expressions. To solve a rational expression that contains many terms, solve step by step by following the order of operations. Order of operations advises one to work the parenthesis part first; so solve t ...more

How To : Solve word problems with proportions

In this video the instructor shows how to use proportions to solve fractions. When you have a proportions problem with an unknown term, cross multiply and divide it to get the value of that unknown term. For example if given 7/8 = m/4, cross multiply 7/8 with 4, giving 7/2 whi ...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 : Multiply fractions with canceling

This video will show you how to carry out multiplication of fractions using cancellation, which will make your fraction multiplication problems simpler to solve. You will need to look at the numerator of the first fraction and the denominator of the second fraction and see if ...more

How To : Convert fractions to decimals easily

This video teaches you how to convert fraction to decimals in three easy steps. The process of decimal to fraction conversion involves the use of the fundamental rule of fractions; the fraction should be written in its lowest terms. Write down the decimal divided by 1. Multip ...more

How To : Divide variables

This is a helpful video provided by Math Problem Generator. It deals with the complex challenges of dividing variables. The audio is great and provides specific examples of dealing with multiple types of this problem. The video lays out three simple steps. The first being to s ...more

How To : Solve an algebraic equation

Math can be tricky, especially when you're trying to decipher algebra. It's a love-hate thing; if you don't love math, then you hate it, and there's no in-between. But it doesn't have to be a pain to solve a few problems. It's actually quite simple once you figure it out. An a ...more

Scrabble Bingo of the Day : ISOPLETH

ISOPLETH 63 points (13 points without the bingo) Definition: a type of isogram [n] Okay... in order to know what an isopleth is, you first have to know what an isogram is... An isogram (or isoline) is a contour line on a map connecting points of equal value. In other words, ...more

How To : Do quadratic equations

In order to work a quadratic equation, you should, first, try to simplify it. Try to move your variable to one side of the equation and the numerical values to the other. For example, in the equation 3n + 5n 2 = 0, you should try to move the 2 to the other side, by adding a po ...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 : Scale Factor

What Is Scale Factor? Scale factor is the ratio of the length of the scale drawing to the corresponding length of the original object. Solving Problems We are told to find the scale factor when we are given the original and new dimension of an object. The formula for questi ...more

News : What's New in Shortcuts in iOS 13

When Apple acquired the popular Workflow app in 2017, many were worried that it would either get replaced with something much worse, or just disappear entirely. Thankfully, Apple put these concerns to rest with the launch of Shortcuts. In iOS 13, Shortcuts is becoming more pow ...more

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