Adding Fractions with Whole Numbers Overview

A mixed number is a number that has a whole number part and a fractional part.

Here is a visual representation of a mixed number.

This model shows two rectangles that are shaded completely, which represents whole numbers, and one rectangle that is shaded partially, which represents a fraction.

This fraction model represents the mixed number $2\frac{3}{8}$.

Example 1

When adding a mixed number with a whole number, we first add the whole numbers, then include the fraction.

What is the sum of $11\frac{2}{3}$ and $19$?

We will start by adding the whole numbers, which is $11+19=30$. Then we add the fractional part to the end.

Therefore, the sum of $11\frac{2}{3}$ and $19$ is $30\frac{2}{3}$.

Example 2

Monica picks two bags of peaches to buy at the Farmer’s Market. She places each bag on the scale and the first bag weighs $5$ lbs. and the second bag weighs $6\frac{2}{3}$ lbs. How many pounds of peaches does Monica buy?

When adding a whole number and a fraction we first add the whole numbers, then we include the fraction.

$5+6=11$, now we include $\frac{2}{3}$, therefore, Monica buys a total of $11\frac{2}{3}$ lbs. of peaches.

Adding Fractions with Whole Numbers Sample Questions

Here are a few sample questions going over adding fractions with whole numbers.