Converting between forms

Convert between fractions, decimals and percentages, and order mixed forms.

Worked examples

Converting a fraction to a decimal

Straightforward

Problem

Convert

\dfrac{3}{4}

to a decimal.

Converting a decimal to a percentage

Moderate

Problem

Convert

0.65

to a percentage.

Ordering mixed forms

Challenging

Problem

Arrange

\dfrac{3}{5}

0.55

, and

62\%

in order from smallest to largest.

Practise

Q1·Straightforward

Convert

\dfrac{1}{2}

to a decimal.

Q2·Straightforward

Convert

\dfrac{3}{4}

to a decimal.

Q3·Straightforward

Convert

\dfrac{1}{5}

to a decimal.

Q4·Straightforward

Convert

\dfrac{7}{10}

to a decimal.

Q5·Moderate

Convert

0.45

to a percentage. Give your answer as a number (e.g. write

35

for

35\%

Q6·Moderate

Convert

0.8

to a percentage. Give your answer as a number (e.g. write

80

for

80\%

Q7·Moderate

Convert

0.03

to a percentage. Give your answer as a number (e.g. write

3

for

3\%

Q8·Moderate

Convert

1.25

to a percentage. Give your answer as a number (e.g. write

125

for

125\%

Q9·Challenging

Convert

\dfrac{3}{8}

to a decimal.

Q10·Challenging

Convert

72\%

to a decimal.

Q11·Challenging

Which list shows

\dfrac{2}{5}

45\%

, and

0.38

in order from smallest to largest?

$0.38$, $\dfrac{2}{5}$, $45\%$$\dfrac{2}{5}$, $0.38$, $45\%$$45\%$, $\dfrac{2}{5}$, $0.38$$0.38$, $45\%$, $\dfrac{2}{5}$

Q12·Challenging

Convert

\dfrac{5}{8}

to a percentage. Give your answer as a number (e.g. write

62.5

for

62.5\%