# Simplify Fractions Calculator

Simplify Fractions Calculator is an online tool that reduces a given fraction into its simplest form. The original fraction and its simplified version form a pair of equivalent fractions.

## What Is a Simplify Fractions Calculator?

Simplify Fractions Calculator helps to reduce the given fraction such that the numerator and the denominator have only 1 as their common factor. Even after simplification, the value of the original fraction remains unchanged. To use the * simplify fractions calculator*, enter the values in the input boxes.

### Simplify Fractions Calculator

## How to Use the Simplify Fractions Calculator?

Follow the steps given below to reduce the given fraction using the online simplify fraction calculator:

**Step 1:**Go to Cuemath's simplify fraction calculator**Step 2:**Enter the values of the numerator and denominator in the input boxes.**Step 3:**Click on the**"Simplify"**button to reduce the given fraction**Step 4:**Click on the**"Reset"**button to clear the fields and enter new values.

## How Does Simplify Fractions Calculator Work?

The methods to simplify fractions are given below:

**1. Equivalent Fractions Method**

- Find a common factor shared by both the numerator and the denominator.
- Divide both the numerator and the denominator by this factor.
- Repeat the process until the only common factor is 1.

**2. GCF Method**

- Find the GCF of the numerator and the denominator.
- The numerator and the denominator are divided by the GCF to obtain the simplified fraction.

**3. Prime Factorization Method**

- Write down the numerator and the denominator as a product of their respective prime factors.
- Cancel out the common factors.
- Multiply the remaining numbers in the numerator as well as the denominator. This will give the reduced fraction.

To simplify fractions with exponents, express the numerator and the denominator in the expanded form of exponents. Then use any of the methods listed above to reduce the fraction.

To simplify improper fractions, use any of the aforementioned methods to reduce the fraction. Then express this simplified fraction in the form of a mixed fraction.

## Solved Examples on Simplifying Fractions

**Example 1:** Write 4 / 6 in its simplest form and verify it using the simplify fractions calculator

**Solution**:

GCF (4, 6) = 2.

4 / 6 = [4 ÷ 2] / [ 6 ÷ 2]

= 2 / 3

Thus, on simplifying 4 / 6 we get 2 / 3

**Example 2:** Write 15 / 10 in its simplest form and verify it using the simplify fractions calculator

**Solution**:

GCF (15, 10) = 5.

15 / 10 = [15 ÷ 5] / [ 10 ÷ 5]

= 3 / 2

Converting to a mixed fraction:

3 / 2 = \(1\tfrac{1}{2}\)

Thus, on simplifying 15 / 10 we get \(1\tfrac{1}{2}\).

Now, use the simplify fractions calculator and reduce the following fractions:

- 11 / 33
- 21 / 14

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