Writing an improper fraction as a mixed number

An improper fraction is a fraction where the numerator is greater than the denominator.

A mixed number is a number that consists of a whole number and proper fraction. For example, $1frac{1}{2}$ is a mixed number.

Rules to write an improper fraction as a mixed number

To write an improper fraction as a mixed number, we rewrite it as a spanision problem and spanide.

On spaniding the numerator by the denominator, we get a quotient which is a whole number and a remainder which is written as a proper fraction.

The whole number and the proper fraction together is the mixed number.

So, an improper fraction can always be written as a mixed number.

Write $frac{3}{2}$ as a mixed number

Solution

Step 1:

$frac{3}{2}$ is an improper fraction as the numerator 3 is greater than 2, the denominator.

Step 2:

By spaniding 3 by 2 we get whole number 1 as quotient and 1 as remainder which is written as proper fraction $frac{1}{2}$.

Step 3:

So, $frac{3}{2} = 1frac{1}{2}$

Write the improper fraction $frac{11}{4}$ as a mixed number.

Solution

Step 1:

$frac{11}{4}$ is an improper fraction as numerator 11 is greater than 4, the denominator.

Step 2:

We spanide 11 by 4, and get 2 as a quotient and 3 as a remainder which is written as proper fraction $frac{3}{4}$.

Step 3:

So, $frac{11}{4}$ can be written as a mixed number $2frac{3}{4}$

$frac{11}{4} = 2frac{3}{4}$

Write the improper fraction as a mixed number.

$frac{15}{7}$

Solution

Step 1:

$frac{15}{7}$ is an improper fraction as numerator 15 is greater than the denominator 7.

Step 2:

We spanide 15 by 7, and get 2 as a quotient and 1 as a remainder which is written as a proper fraction $frac{1}{7}$.

Step 3:

So, $frac{15}{7}$ can be written as a mixed number $2frac{1}{7}$

$frac{15}{7} = 2frac{1}{7}$