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?

$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

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?