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 Write the fraction equivalent to 1/2 that has a denominator of 10.
Show worked solution
1 × 5 = 5, so 5/10.
2 Simplify 15/25.
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15 ÷ 5 = 3 and 25 ÷ 5 = 5, so 3/5.
3 Multiply the top and bottom of 2/3 by 4. What fraction do you get?
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8/12, which is the same amount as 2/3.
Level 2 · Core
4 Simplify 36/48 to its lowest terms.
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36 ÷ 12 = 3 and 48 ÷ 12 = 4, so 3/4.
5 Fill in the missing numerator: 7/8 = ?/56. Give just the number.
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7 × 7 = 49, so 7/8 = 49/56.
6 Simplify 24/36.
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24 ÷ 12 = 2 and 36 ÷ 12 = 3, so 2/3.
Level 3 · Challenge
7 Are 3/7 and 5/9 equivalent? Answer yes or no.
Show worked solution
3 × 9 = 27 but 7 × 5 = 35, so no — they are not equivalent.
8 Fill in the missing denominator: 30/45 = 2/?. Give just the number.
Show worked solution
45 ÷ 15 = 3, so 30/45 = 2/3.
9 Simplify 42/56 to its lowest terms.
Show worked solution
42 ÷ 14 = 3 and 56 ÷ 14 = 4, so 3/4.