Convert each number to a decimal to make them easier to compare

Use your knowledge of recurring decimals to rewrite $\frac{7}{9}$ as a decimal
Alternatively you could work this out using short division, and noticing that the same remainder will be left after each step

$\frac{7}{9} = 0.777 . . . = 0 . \dot{7}$

Use equivalent fractions to rewrite $\frac{4}{5}$ in a format which is easier to calculate

$\frac{4}{5} = \frac{8}{10} = 0.8$

Use equivalent fractions to rewrite $\frac{17}{20}$ in a format which is easier to calculate

$\frac{17}{20} = \frac{17 \times 5}{20 \times 5} = \frac{85}{100} = 0.85$
or $\frac{17}{20} = \frac{8.5}{10} = 0.85$

Rewrite 78% as a decimal by dividing by 100

$78 \div 100 = 0.78$

Write all the numbers as decimals to compare them
It can help to write them all to the same number of decimal places

$0.77 . . ., 0.80, 0.85, 0.78$

In order: $0.77 . . ., 0.78, 0.80, 0.85$

For the final answer, rewrite in their original format

$\frac{7}{9}, 78 %, \frac{4}{5}, \frac{17}{20}$ [2]
1 mark for 3 numbers in correct order

Fraction		Decimal		Percentage
$\frac{3}{4}$	=	0.75	=
	=	0.2	=	20%
$\frac{2}{25}$	=		=	8%

Fractions, Decimals & Percentages (Edexcel GCSE Maths: Foundation)

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