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Fraction Rounding to the Nearest Half

Make the denominator 2

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Fraction Rounding to the Nearest Half
Source: https://www.flickr.com/photos/dagoaty/4283325352/
License: CC BY-NC 3.0

Joey is cooking and needs 58 teaspoon of pepper. He only has a one-half teaspoon measuring spoon. How many  half teaspoons of cinnamon does Joey need to make his dish? 

In this concept, you will learn how to round a fraction to the nearest half.

Rounding Fractions to the Nearest Half

fraction is a part of a whole. Instead of finding the exact value of a fraction, you can use an estimate to get a general idea. An estimate is an approximate value that makes sense or is reasonable given the problem.

Here is a representation of a fraction. 

There are 12 out of 20 shaded boxes. This fraction is exactly 1220. You could also say that about half of the boxes are shaded. This is called rounding to the nearest half.

Think of fractions in terms of halves. There are three main values to round to when rounding a fraction to the nearest half. 

The first is zero. Zero is also 02, or zero halves. The second value is 12, or one half. The third value is 1, which can be thought of as 22, or two halves. When rounding to the nearest half, round the fraction to whichever half the fraction is closest to on the number line. If a fraction is equally close to two different halves, round the fraction up.

License: CC BY-NC 3.0

Here is a fraction.

56

To figure out which value five-sixths is closest to, first think in terms of sixths. Since the denominator is six, that means that the whole is divided into six parts. The fraction 06 would be the value of zero, 36 would be the value of 12, and 66 is the same as 1.

License: CC BY-NC 3.0

The fraction 56 is closest to 66, so rounding to the nearest half would be rounding to 1.

Examples

Example 1

Earlier, you were given a problem about Joey and his measuring spoon.

Joey needs 58 teaspoon of cinnamon but only has a  one-half teaspoon measuring spoon. Round 58 to the nearest 12 to find out how many one-half teaspoon Joey needs.

Use a number line of 1 whole divided into 8 parts to round 58 to the nearest 12.

License: CC BY-NC 3.0

58 is close to 12. Joey can use just a little over one one-half teaspoon.

Example 2

Round the following fraction to the nearest half: 15

Use a number line of 1 whole divided into 5 equal parts. 15 is closer to 0.

License: CC BY-NC 3.0

15 rounds to 0.

Example 3

Round the following fraction to the nearest half: 38.  

Use a number line of 1 whole divided into 8 equal part. 38 is closer to 12.

License: CC BY-NC 3.0


38 rounds to 12.

Example 4

Round the following fraction to the nearest half: 79.

Use a number line of 1 whole divided into 9 equal parts. 79 is closer to 1. 

License: CC BY-NC 3.0

79 rounds to 1.

Example 5

Jessica discovered that 49 of a pan of brownies had been eaten. Is the amount of brownies left closer to one-half or one whole?

First, find the amount of brownies left. If 49 of the pan had been eaten, then that means that 59 of the pan had not been eaten.

Then, use a number line to round 59 to the nearest half. The whole is divided into 9 parts. The fraction 09 is zero, one half is between 49 and 59, and 1 would be 99.

License: CC BY-NC 3.0

59 is closer to 12. There was about one-half of the pan of brownies left.

Review

Round each fraction to the nearest half.

  1. 215
  2. 17
  3. 89
  4. 715
  5. 613
  6. 1011
  7. 78
  8. 47
  9. 37
  10. 119
  11. 210
  12. 45
  13. 23
  14. 211
  15. 19

Review (Answers)

To see the Review answers, open this PDF file and look for section 6.1. 

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Vocabulary

TermDefinition
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.

Image Attributions

  1. [1]^ Source: https://www.flickr.com/photos/dagoaty/4283325352/; License: CC BY-NC 3.0
  2. [2]^ License: CC BY-NC 3.0
  3. [3]^ License: CC BY-NC 3.0
  4. [4]^ License: CC BY-NC 3.0
  5. [5]^ License: CC BY-NC 3.0
  6. [6]^ License: CC BY-NC 3.0
  7. [7]^ License: CC BY-NC 3.0
  8. [8]^ License: CC BY-NC 3.0

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