Work through the levels in order. Type your answer and press Check — open the worked solution if you get stuck. Answers like -6, 3/4 or 0.25 are typed exactly as shown. A ⭐ Bonus Challenge at the end is extra credit — skip it if the rest was hard work.
Level 1 · Warm-up
1 Which is larger, 2/9 or 7/9? Write the fraction.
Show worked solution
7/9, because the ninths are all the same size.
2 Which is larger, 2/3 or 2/9? Write the fraction.
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2/3 — thirds are much larger pieces than ninths.
3 Order 1/7, 6/7 and 4/7 from smallest to largest. (list them separated by commas)
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1/7, 4/7, 6/7.
Level 2 · Core
4 Which is larger, 5/8 or 2/3? Write the fraction.
Show worked solution
Over 24 they are 15/24 and 16/24, so 2/3 is larger.
5 Which is larger, 3/7 or 1/2? Write the fraction.
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Double 3 is 6, which is less than 7, so 3/7 is below a half. 1/2 is larger.
6 Write the correct sign between 4/9 and 1/2 — type < or >.
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Double 4 is 8, less than 9, so 4/9 is below a half: 4/9 < 1/2.
Level 3 · Challenge
7 Order 3/10, 1/3 and 2/5 from smallest to largest. (list them separated by commas)
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Over 30 they are 9/30, 10/30 and 12/30, so 3/10, 1/3, 2/5.
8 Which is larger, 7/12 or 5/8? Write the fraction.
Show worked solution
Over 24 they are 14/24 and 15/24, so 5/8 is larger.
9 Which is closer to 1, 9/10 or 7/8? Write the fraction.
Show worked solution
9/10 is 1/10 short and 7/8 is 1/8 short. A tenth is a smaller gap, so 9/10 is closer to 1 and therefore larger.