How to Simplify Fractions? (+FREE Worksheet!)

Simplifying fractions means making the fractions as simple as possible. You can simplify fractions in a few simple steps. In this post, you will learn how to simplify fractions. So join us.

How to Simplify Fractions? (+FREE Worksheet!)

First of all, it is good to know that in simplifying fractions, the actual value of the fraction will not change. Each fraction consists of two numbers. The number at the top of the fraction is called the numerator, and the number at the bottom of the fraction is called the denominator. But how can you know if the fraction is as simple as possible? When a fraction is in its simplest form, its numerator and denominator can no longer be divided by the same whole number except \(1\). The Absolute Best Books to Ace Pre-Algebra to Algebra II

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Step-by-step guide to Simplify Fractions

Simplifying Fractions – Example 1:

Simplify. \( \frac \)

Solution:

To simplify \(\frac\) , find a number that both \(18\) and \(24\) are divisible by. Both are divisible by \( 6\) . Then: \(\frac=\frac=\frac\)

Simplifying Fractions – Example 2:

Simplify. \( \frac \)

Solution:

To simplify \(\frac\), find a number that both \(72\) and \(90\) are divisible by. Both are divisible by \(9\) and \( 18\). Then: \(\frac=\frac < 90 \ \div \ 9 >=\frac\), \(8\) and \(10\) are divisible by \(2\), Then: \(\frac= \frac< 10 \ \div \ 2 >= \frac\)
or \(\frac=\frac=\frac\)

Simplifying Fractions – Example 3:

Simplify. \( \frac \)

Solution:

To simplify \(\frac\), find a number that both \(12\) and \(20\) are divisible by. Both are divisible by \(4\). Then: \(\frac=\frac=\frac\)

Simplifying Fractions – Example 4:

Simplify. \( \frac \)

Solution:

To simplify \(\frac\), find a number that both \(64\) and \(80\) are divisible by. Both are divisible by \(8\) and \(16\). Then: \(\frac=\frac=\frac\) , \(8\) and \(10\) are divisible by \(2\), then: \(\frac= \frac < 10 \ \div \ 2 >=\frac\)
or \(\frac=\frac=\frac\)

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