GCSE Mathematics (9-1)
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    4.1 Equivalent fractions and ordering — Practise

    1. Write 35\frac{3}{5} as an equivalent fraction with denominator 2020.
    2. Write 23\frac{2}{3} and 58\frac{5}{8} in order, smallest first.
    3. Write 0.3750.375 as a fraction in its simplest form.
    4. Insert <<, >> or ==: 710  □  0.68\frac{7}{10}\;\square\;0.68.
    5. Write 34\frac{3}{4}, 0.720.72, 710\frac{7}{10} in order, smallest first.
    Answers and concise solutions

    1. Answer 1

    Answer: 35=3×45×4=1220.\frac{3}{5}=\frac{3\times4}{5\times4}=\frac{12}{20}.

    2. Answer 2

    Answer: 23=1624\frac{2}{3}=\frac{16}{24} and 58=1524\frac{5}{8}=\frac{15}{24}, so 58<23.\frac{5}{8}<\frac{2}{3}.

    3. Answer 3

    Answer: 0.375=3751000=38.0.375=\frac{375}{1000}=\frac{3}{8}.

    4. Answer 4

    Answer: 0.7>0.680.7>0.68, so insert >>.

    5. Answer 5

    Answer: 0.7<0.72<0.750.7<0.72<0.75, so 710<0.72<34\frac{7}{10}<0.72<\frac{3}{4}.

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