How To Change A Mixed Number To A Fraction

Fraction to Mixed Number Figurer

Enter the improper fraction in the fields beneath to catechumen it to a mixed number. The figurer shows all the work so yous can follow forth and learn the steps.

Solution:

Steps to Convert to a Mixed Number

Convert the fraction to a mixed number by using long division to find the quotient and remainder

5 ÷ 3 = 1 R2

The quotient will be the whole number in the fraction, and the residuum will be the numerator in the mixed fraction

five 3 = ane 2 three

Acquire how we calculated this below

How to Convert an Improper Fraction to a Mixed Number

An improper fraction is a fraction with no whole number and has a larger numerator than the denominator. We can simplify these fractions to mixed numbers in a few uncomplicated steps.

$illustration showing how to use the results of long division to rewrite an improper fraction$

Step Ane: Use Long Division

The first step in the conversion is to use long partitioning to find the quotient and the remainder. These will be used in the next footstep.

When doing long partitioning with a fraction, the numerator volition be the dividend, and the denominator will be the divisor.

For case, let's solve the quotient and remainder of 7 iii .

Offset, add together the numerators:
7 3 = seven ÷ 3
7 ÷ 3 = 2 R1

Thus, the quotient is 2, and the remainder is 1.

Step Two: Rewrite the Quotient and Remainder to the Mixed Number

The second step is to rewrite the fraction every bit a mixed number using the quotient and balance from the previous pace, along with the original denominator.

To convert, set the quotient equally the whole number, the rest as the numerator, and the original denominator as the denominator.

For example, let's use the quotient and rest from the previous step to rewrite 7 iii as a mixed number.

Commencement, add the numerators:
quotient = ii
remainder = one
original denominator = iii

Using these values, the rewritten mixed number is:
2 1 3

That'south it! You take at present rewritten an improper fraction as a mixed number in 2 elementary steps.

This method works great for converting a fraction to a mixed number, but you might also like our fraction simplifier to simplify fractions smaller than 1.

$Share fraction to mixed number calculator$