**How To Do Algebraic Fractions** – These questions are about how to simplify algebraic fractions and are popular in non-calculator GCSE maths papers. They are either easy … or quite difficult. The example in the image shows the following expression as “2x squared…” and that type of question will be quite challenging.

Here are some videos to explain factorization and this is the main skill you will need most of the time. As with many topics in algebra, it is very difficult to give specific examples, because they all work together to solve many different types of problems. However, if you can simplify algebraic fractions using factorization, it will help when working on higher-level problems.

## How To Do Algebraic Fractions

If you want to ask for more information, or if you are not sure about something, feel free to ask a question in the comment section.

## Algebraic Fractions: Attending To Simplification

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## Adding Algebraic Fractions Textbook Exercise

All cookies that may not be specifically necessary for the website to function and that are used specifically to collect users’ personal data through analytics, advertisements, other embedded content are designated as non-necessary cookies. It is mandatory to obtain user consent before running these cookies on your website. We find the solution of the equation. This applet creates equations in (x). This means that (x) is a variable in these equations—it can take any value. In the case of these equations, however, the equation is only true for a particular value of (x). This is the solution. We say that this satisfies the equation. When we plug the solution into the equation, the value on the left side equals the value on the right side.

This applet displays each side of an equation using algebra tiles. The green (x) tiles can be resized. By dragging the slider, try to find what (x) should be to bring the two towers to the same height. This value of (x) is the solution of the equation.

Part 1 – Solving Linear Equations in One Unknown Algebra where the unknowns are on both sides of the equation

### Algebraic Fractions P2 || Top Short Question

Part 2 – Solving Linear Equations Involving Algebraic Fractions Where Both Sides of the Equation Have Unknowns

This applet generates equations at your chosen difficulty level. You can also enter your own expressions to create a custom equation. (Be careful when writing your own expressions, you can end up with an equation that has no solution.)

Then you can proceed to solve the equation. You can decide what you can do to one side of an equation (eg add, subtract, multiply, or divide by a quantity, which can be a constant or an expression involving (x)) of the equation. Simple. If you do this on one side of the equation, you break the equation, so you have to do it on the other side to correct the equation. In other words,

## Rational Expressions And Equations

This applet will help you see what effect each operation has on different types of expressions. With a little practice, you will be able to identify exact and efficient ways to solve these equations.

The cookie settings on this website are set to “Allow Cookies” to give you the best possible browsing experience. If you continue to use this website without changing your cookie settings or if you click “Accept” below, you agree to this. and are examples of algebraic fractions. The rules that apply to numerical fractions also apply to algebraic fractions. For example, if we multiply or divide the numerator and denominator of a fraction with the same numerator or denominator, we produce an equivalent fraction. It is important to understand that, as with numerical fractions, multiplying or dividing the numerator and denominator of an algebraic fraction by the same number, term, or expression does not change the value of the fraction. This fact is used when simplifying algebraic fractions and when writing to add or subtract algebraic fractions with a common denominator. For example, 3x 4×2 = 3 4x = 6 8x = 3y 4xy = 3(a + 2) 4x(a + 2)

It is important to understand that, as with numerical fractions, multiplying or dividing the numerator and denominator of an algebraic fraction by the same number, term, or expression does not change the value of the fraction. This fact is used when simplifying algebraic fractions and when writing to add or subtract algebraic fractions with a common denominator.

## Complex Rational Expressions

We simplify or eliminate algebraic fractions like numerical fractions by dividing the numerator and denominator by common factors. For example, 6ab 3ab2 2 6ab 3ab2 = 6 × a × b 3 × a × b × b = 2 b Simplify

Sometimes we need to factor the numerator and denominator before we can simplify an algebraic fraction. For example, 2a + a2 8 + 4a 2a + a2 8 + 4a = a (2 + a) 4(2 + a) = a 4 Simplify

B2 – 36 is the difference between the two squares. Simplify b2 – 36 3b – 18 b2 – 36 3b – 18 = (b + 6)(b – 6) 3(b – 6) b + 6 3 = To encourage students to find the difference between two squares whenever possible should If necessary, we can write it as 6 3 = b + b 3 + 2

### Solution: 20220910 Multiplying And Dividing Algebraic Fractions

Remember that a fraction written in the form a + b c can be written as b a + However, a fraction written in the form c a + b cannot be written as b a + + Emphasize that if two terms are added or subtracted to the numerator of the fraction, we can normalize the fraction. We can divide into two fractions written on the denominator. The reverse is also true. But if two terms are added or subtracted from the denominator of the fraction, we cannot divide the fraction by two. Verify these rules using a numerical example. For example, 1 + 2 3 = 2 1 + 3 1 + 2 = 2 1 + But

We can multiply and divide algebraic fractions using the same rules we use for numerical fractions. In general, a b × = c d ac bd a b ÷ = c d × = ad bc And, point out to students that in the example we can multiply the parentheses in the denominator. However, it is generally better to leave the expressions in factored form. For example, 3p 4 × = 2 (1 – p) 3 6p 4(1 – p) = 3p 2(1 – p) 2

2 What is 3y – 6 ÷ 4 y – 2 ? This is the reciprocal of 4 y – 2 2 3y – 6 ÷ = 4 y – 2 2 3y – 6 × 4 y – 2 2 3(y – 2) × = 4 y – 2 2 1 6 =

### Simplifying Algebraic Fractions Textbook Exercise

We can add algebraic fractions using the same method we use for numerical fractions. For example, what is 1a + 2b? Before we can add fractions we must write down the common denominator. 1 a + 2 b = b ab + 2a = b + 2a ab Review the method of adding numerical fractions, if necessary. In general, + = a b c d ad + bc bd

3 What is y + ? x 2 Before we can add the fractions we must write down the common denominator. 3 x + y 2 = + 3 × 2 x × 2 y × x 2 × x + 6 2x xy = = 6 + xy 2x

We can also subtract algebraic fractions using the same method we use for numerical fractions. For example, what is -? p 3 q 2 Before we can subtract fractions we must write down the common denominator. – = p 3 q 2 – = 2p 6 3q 2p – 3q 6 In general, – = a b c d ad – bc bd

#### Defuse The Bomb

2 + p 4 3 What is 2q – ? = – 2 + p 4 3 2q – (2 + p) × 2q 4 × 2q 3 ×