Fractions · 5 sample questions from the school syllabus. Try each one, then open the answer and the worked solution.
3. Compute: 1511−156 . Give the answer in simplest form.
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Answer: A) 31
Like fractions: 11 − 6 = 5, keep denominator 15, giving 155. Divide top and bottom by 5: 155=31.
4. Which symbol makes this true: 1613 ___ 169 ?
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Answer: C) >
The denominators are the same, so these are like fractions — the sixteenth-sized pieces are identical and we simply count them. Since 13 > 9, we get 1613>169. No common denominator work is needed when the denominators already match.
5. Assertion (A): 31+61=92. Reason (R): Unlike fractions must first be rewritten with a common denominator before they can be added. Which is correct?
- ABoth A and R are true, and R correctly explains A
- BA is false but R is true
- CA is true but R is false
- DBoth A and R are false
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Answer: B) A is false but R is true
R is a correct rule. Applying it, 31=62, so 62+61=63=21 — not 92. The 92 in A came from adding the numerators and the denominators separately. So A is false while R is true.