Joey is cooking and needs

teaspoon of pepper. He only has a teaspoon measuring spoon. How many 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

A **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

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

Here is a fraction.

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

The fraction

### Examples

#### Example 1

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

Joey needs

Use a number line of 1 whole divided into 8 parts to round

to the nearest .

is close to

#### Example 2

Round the following fraction to the nearest half:

Use a number line of 1 whole divided into 5 equal parts.

#### Example 3

Round the following fraction to the nearest half:

Use a number line of 1 whole divided into 8 equal part.

#### Example 4

Round the following fraction to the nearest half:

Use a number line of 1 whole divided into 9 equal parts.

rounds to 1.

#### Example 5

Jessica discovered that

First, find the amount of brownies left. If

Then, use a number line to round

whole is divided into 9 parts. The fraction is zero, one half is between and , and 1 would be .

### Review

Round each fraction to the nearest half.

215 17 89 715 613 1011 78 47 37 119 210 45 23 211 19

### Review (Answers)

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