Mixed Number to Improper Fraction Calculator

Convert a mixed number to an improper fraction using the calculator below. Follow along to see each step to make the conversion yourself.

Fraction:

Improper Fraction Result:

73

Steps to Convert Mixed Fraction to Improper Fraction

Convert the whole number to a fraction by multiplying the whole number by the denominator
2=2 × 33
2=63
Add the converted whole number to the remainder from the mixed number to solve the improper fraction
6 + 13
73


How to Convert a Mixed Number to an Improper Fraction

A mixed number is a number represented as using a whole number and a fraction. A mixed number is a fraction that, when reduced, has a numerator larger than the denominator.

Follow these two easy steps to convert a mixed number to an improper fraction.

Step One: Convert the Whole Number to a Fraction

The first step to converting a mixed number to a fraction is to convert the whole number to a fraction. To do this, multiply the whole number by the denominator of the fraction.

Then put the result over the denominator.

equations for the first step in converting a mixed number to improper fraction by converting the whole number to a numerator

For example, let’s convert the whole number 2 in the mixed fraction 2 14 to a fraction.

First, let’s find the numerator:
numerator = 2 × 4
numerator = 8

Then put the numerator over the original denominator 4:
fraction = 84

Step Two: Add the Fractions to Solve the Improper Fraction

The next step is to add the fraction from the last step with the fraction in the mixed number to find the improper fraction.

To do this, add the numerators of each fraction together, then put the sum over the denominator. The result is an improper fraction.

equations for the second step in converting a mixed number to improper fraction by adding the numerators

For example, add 84 and 14 to find the fraction.

First, add the numerators:
numerator = 8 + 1
numerator = 9

Then put the numerator over the denominator 4:
improper fraction = 94

You might also be interested in learning how to convert an improper fraction to a mixed number.