# Fractions and the benchmarks 0, 1/2 and 1

Lesson

## The size of fractions

You may have already learned about plotting fractions on a number line. We can use number lines to compare our fractions to some benchmark fractions, including $0$0, $\frac{1}{2}$12 and $1$1 .

Remember!

When plotting fractions on a number line we use:

• the denominator to divide the whole numbers into equal parts
• the numerator to select the number of parts.

#### Worked Examples

##### QUESTION 1

Is the fraction $\frac{1}{4}$14 closer to $0$0 or $1$1?

1. $0$0

A

$1$1

B

$0$0

A

$1$1

B

##### QUESTION 2

Is the fraction $\frac{2}{3}$23 closer to $0$0 or $1$1?

1. $1$1

A

$0$0

B

$1$1

A

$0$0

B

### Harder fractions

When we have fractions that might have larger denominators, or if we can't easily see where a fraction sits on a number line, there are things we can do still. Watch this video to look at how we can estimate using benchmarks with harder fractions.

#### Worked Examples

##### Question 3

Is the fraction $\frac{8}{20}$820 closer to $0$0 or $\frac{1}{2}$12?

1. $\frac{1}{2}$12

A

$0$0

B

$\frac{1}{2}$12

A

$0$0

B