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# Fraction Simplifier

Enter fraction to simplify it using this fraction simplifier.

## Fraction Simplifier

A fraction simplifier is used to convert improper fractions to mixed numbers and also simplify proper fractions by reducing them to their lowest terms.

## What is an Improper Fraction?

An improper fraction is defined as a fraction in which the numerator is larger than the denominator. Examples of improper fractions include **16/5, 81/11, and 625/71**.

To simplify a fraction, you need to find a common factor that can divide both the numerator and denominator evenly.

Alternatively, if the numerator is greater than the denominator, you can convert it into a mixed number.

## Steps to convert improper fractions to a mixed number

To convert an i**mproper fraction to a mixed number**, follow these steps:

• Take the **numerator **and divide it by the **denominator**.

• The result should be written down as a **whole number**.

• You can use the **remainder **over the **denominator **as your new **numerator**. It is the fractional part.

This process will result in a mixed number that represents the same value as the original improper fraction.

## Examples of converting improper fractions to mixed numbers

**Example 1**

Convert the improper fraction **16/5** to a mixed number.

**Solution**

**Step 1:** Divide the numerator (**16**) by the denominator (**5**):

`16 ÷ 5 = 3`

with a remainder of **1**

**Step 2: **Use the rest (**1**) as the new numerator over the denominator (**5**), which will be the fractional part and the quotient will be the whole number of the mixed number.

Whole number = **3**

Fractional part = **1/5**

**Step 3:** Write the whole number and fractional part as a mixed number:

`16/5 = 3 1/5`

Therefore, **16/5** as a mixed number is **3 1/5**.

**Example 2**

Convert the improper fraction **65/21** to a mixed number.

**Solution**

**Step 1:** Divide **65 **by **21 **and take the quotient and remainder.

`65 ÷ 21 = 3`

with the remainder **2**

Remainder = **2**

Quotiuent = **3**

**Step 2: **Use the quotient and remainder to write a mixed number.

`3 2/21`

Hence, the mixed number equivalent of the improper fraction** 65/21** is **3 2/21.**

To reverse the process, you can try our mixed number to improper fraction calculator.