# Simplifying Algebraic Expressions With Fractions

Simplifying Algebraic Expressions With Fractions – As the name suggests, algebraic fractions are fractions that contain algebraic terms. It is important to remember that the rules you learn about fractions apply to algebraic fractions. Please familiarize yourself with these topics before proceeding.

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## Simplifying Algebraic Expressions With Fractions

Step 1: First, we need to calculate the numerator and denominator of the fraction. (Note the factorization of the quadratic fraction here)

## Ways To Simplify Rational Expressions

Step 2: Eliminate fractions. In this case, we can eliminate (a + 3) in the numerator and denominator.

When adding or subtracting fractions, you should always find the common denominator. The same goes for algebraic fractions.

Now, this may sound like a complete exercise, but if you consider 2x + 4 = 2(x + 2), something common will soon become apparent. we have:

Before adding and subtracting, we need to find the common denominator of the three fractions.

Since 30 is the least common number of 2, 3, and 5, choose 30x as the default.

Here, the denominator is a special form of a quadratic expression called the difference of two components.

## Simplifying An Algebraic Expression

Both the numerator and the denominator have a value of (k + 6), so they cancel.

The first step in dividing fractions is to invert the second fraction and change the divisor to the multiplier.

We have the coefficient and can be canceled, and we can take the coefficient 3 from 63 and 48.

#### Simplifying Algebraic Expressions With Fractions

If we consider the denominator (z – 1)(z + 5), we can see that there is no common factor. So the final answer is:

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