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 improper 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.