Adding and subtracting rational expressions calculator step by step

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Step-by-Step Examples

Algebra

Rational Expressions and Equations

Simplify

Step 1

To write as a fraction with a common denominator, multiply by .

Step 2

To write as a fraction with a common denominator, multiply by .

Step 3

Write each expression with a common denominator of , by multiplying each by an appropriate factor of .

Tap for more steps...

Multiply by .

Multiply by .

Reorder the factors of .

Step 4

Combine the numerators over the common denominator.

Step 5

Simplify the numerator.

Tap for more steps...

Apply the distributive property.

Multiply by .

Subtract from .

Add and .

Step 6

Simplify with factoring out.

Tap for more steps...

Factor out of .

Rewrite as .

Factor out of .

Simplify the expression.

Tap for more steps...

Rewrite as .

Move the negative in front of the fraction.

Enter YOUR Problem

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What are the steps for adding and subtracting rational expressions?

Adding or subtracting rational expressions is a four-step process:.
Write all fractions as equivalent fractions with a common denominator..
Combine the fractions as a single fraction that has the common denominator..
Simplify the expression in the top of the fraction..
Reduce the fraction to lowest terms..

How do you solve rational expressions step by step?

The steps to solve a rational equation are:.
Find the common denominator..
Multiply everything by the common denominator..
Simplify..
Check the answer(s) to make sure there isn't an extraneous solution..

How do you add and subtract rational expressions with different denominators?

Adding and Subtracting Rational Expressions with Unlike Denominators.
To add or subtract rational expressions with unlike denominators, first find the LCM of the denominator. ... .
Write each expression using the LCD. ... .
Add or subtract the numerators..
Simplify as needed..

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