<img src="https://d5nxst8fruw4z.cloudfront.net/atrk.gif?account=iA1Pi1a8Dy00ym" style="display:none" height="1" width="1" alt="" />
Dismiss
Skip Navigation
Our Terms of Use (click here to view) and Privacy Policy (click here to view) have changed. By continuing to use this site, you are agreeing to our new Terms of Use and Privacy Policy.

Mixed Number Rounding to the Nearest Whole

Make the denominator 1

Atoms Practice
Estimated2 minsto complete
%
Progress
Practice Mixed Number Rounding to the Nearest Whole
Practice
Progress
Estimated2 minsto complete
%
Practice Now
Mixed Number Rounding to the Nearest Whole
License: CC BY-NC 3.0

Frank thinks he will need at about 1214 pounds of sand for a sandbox he is building. The sand he wants is $3 per pound. About how much will Frank spend on sand? Estimate the amount of sand he will need to the nearest whole number. 

In this concept, you will learn how to round mixed numbers to the nearest whole number.

Round Mixed Numbers to the Nearest Whole

You can also estimate by rounding mixed numbers. A mixed number is a number that has a whole number and a fraction. It refers to a value that is between two whole numbers.

When rounding decimal numbers to the the nearest whole number, you look at the number in the tenths place. If the number less than 5, round down. If the number is greater than or equal to 5, round up. Five tenths can be written into a fraction as 510 or  12.

To round mixed numbers to the nearest whole number, look at the fraction part of the mixed number. If the fraction is less than , round down to the nearest whole number. If the fraction is greater than or equal to 12, round up to the nearest whole number. 

Here is a mixed number.

516

Compare the fraction to 12. The equivalent fraction for 12 in terms of sixths is 36.

16<12

Round the mixed number down to the nearest whole number. 16 is less than 12

5165

516 rounds down to 5. 

Examples

Example 1

Earlier, you were given a problem about Frank's sandbox project.

Frank will need about 1214 pounds of sand that costs $3 per pound. Round the mixed number to a whole number and multiply to find the estimate price of the sand. 

First, compare the fraction to 1212 of a whole divided into 4 parts is 24.

 14<24

Then, round the mixed number to the nearest whole number.

 121412

Next, multiply the number of pounds by the price per pound, $3.

 $3×12=$36

Frank will spend about $36 on the sand.

Example 2

Sarah is helping to measure a hem on a dress. She measures that the dress needs to be shortened 61216 inches. Given this measurement, does it make sense for Sarah to round down to 6 or up to 7 inches?

First, compare the fraction to 12. 12 of a whole divided into 16 parts is 816

Then, round the mixed number to the nearest whole number. 1216 is greater than 12.  

 612167 

61216 rounds up to 7.

Sarah should round up and shorten the dress by about 7 inches.

Example 3

Round this mixed number: 769.

First, compare the fraction to 12. 12 of a whole divided into 9 parts is between 4 and 5 ninths.

69>59

Then, round the mixed number to the nearest whole number. 69 is greater than 12.

769 rounds up to 8.

Example 4

Round this mixed number: 414.

First, compare the fraction to 12. 12 of a whole divided into 4 parts is 24.

14<24

Then, round the mixed number to the nearest whole number. 14 is less than 12.

414 rounds down to 4. 

Example 5

Round this mixed number: 6510.

First, compare the fraction to 12. 12 of a whole divided into 10 parts is 510.

510=510

Then, round the mixed number up to the nearest whole number. 510 is equal to 12.

\begin{align*}6\frac{5}{10}\end{align*}6510 rounds up to 7.

Review

Round each number to the nearest whole number.

  1. \begin{align*}3 \frac{8}{10}\end{align*}3810
  2. \begin{align*}1 \frac{2}{3}\end{align*}123
  3. \begin{align*}5 \frac{5}{6}\end{align*}556
  4. \begin{align*}6 \frac{4}{13}\end{align*}6413
  5. \begin{align*}11 \frac{5}{7}\end{align*}1157
  6. \begin{align*}26 \frac{5}{9}\end{align*}2659
  7. \begin{align*}14 \frac{2}{11}\end{align*}14211
  8. \begin{align*}13 \frac{1}{10}\end{align*}13110
  9. \begin{align*}17 \frac{6}{13}\end{align*}17613
  10. \begin{align*}19 \frac{4}{7}\end{align*}1947
  11. \begin{align*}21 \frac{11}{12}\end{align*}211112
  12. \begin{align*}34 \frac{12}{25}\end{align*}341225
  13. \begin{align*}46 \frac{16}{24}\end{align*}461624
  14. \begin{align*}21 \frac{18}{20}\end{align*}211820
  15. \begin{align*}9 \frac{19}{30}\end{align*}91930

Review (Answers)

To see the Review answers, open this PDF file and look for section 6.2. 

Resources

Vocabulary

Difference

The result of a subtraction operation is called a difference.

Estimate

To estimate is to find an approximate answer that is reasonable or makes sense given the problem.

fraction

A fraction is a part of a whole. A fraction is written mathematically as one value on top of another, separated by a fraction bar. It is also called a rational number.

Mixed Number

A mixed number is a number made up of a whole number and a fraction, such as 4\frac{3}{5}.

Sum

The sum is the result after two or more amounts have been added together.

Image Attributions

  1. [1]^ License: CC BY-NC 3.0

Explore More

Sign in to explore more, including practice questions and solutions for Mixed Number Rounding to the Nearest Whole.
Please wait...
Please wait...