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Adding and Subtracting Fractions

Quiz · Maths · Stage 3 · Year 5
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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.

Progress: 0 / 9 correct
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Level 1 · Warm-up

1 What is 1/5 + 2/5?
Show worked solution
1 + 2 = 3 fifths: 3/5.
2 What is 4/9 + 3/9?
Show worked solution
4 + 3 = 7: 7/9.
3 How many tenths is 3/10 + 4/10?
Show worked solution
7 tenths — 7/10.

Level 2 · Core

4 What is 7/10 − 1/5, in simplest form?
Show worked solution
7/10 − 2/10 = 5/10 = 1/2.
5 What is 2/3 + 1/6?
Show worked solution
4/6 + 1/6 = 5/6.
6 1/6 + 3/6 = 4/6. Written in simplest form it is 2/?. What is the missing denominator?
Show worked solution
4/6 = 2/3.

Level 3 · Challenge

7 Three statements are made about 1/2 + 1/4 + 1/8.1  The total is 7/8.
2  Another 1/8 would make one whole.
3  The total is 3/14.
Which statements are correct?
Show worked solution
4/8 + 2/8 + 1/8 = 7/8 (1 ✓), one eighth short of 8/8 (2 ✓). 3/14 adds tops and bottoms separately — meaningless (3 ✗). 1 and 2.
8 Four pizzas are shared. Amina eats 4/5 of a pizza, Fred eats 1 1/5 and Sally eats 3/5. How many fifths were eaten in total, and how many fifths are left for Quoc?
Show worked solution
4/5 + 6/5 + 3/5 = 13/5 eaten. 20/5 − 13/5 = 7/5 left.
9 3/8 + ?/8 = 1. What is the missing numerator?
Show worked solution
8 − 3 = 5: 3/8 + 5/8 = 8/8 = 1.