Three hikers each walked a fraction of a trail on Saturday. Hiker A walked 34 of the trail, Hiker B walked 57 of the trail and Hiker C walked 710 of the trail.
- Write each of the three fractions as an equivalent fraction with denominator 140.
- Which hiker walked the shortest distance along the trail?
Need a hint?
Find a number that 4, 7 and 10 all divide into exactly, then compare the new numerators.
Worked answer
- 140 is a common multiple of 4, 7 and 10.
- 34 = 105140 because 4 × 35 = 140 and 3 × 35 = 105.
- 57 = 100140 because 7 × 20 = 140 and 5 × 20 = 100.
- 710 = 98140 because 10 × 14 = 140 and 7 × 14 = 98.
- Compare the numerators over 140: 98 is the smallest, so Hiker C walked the shortest distance.
Answer: Hiker C
The mistake this question tests
Habit
Calculation slip
Comparing only the numerators 3, 5 and 7 without a common denominator wrongly picks Hiker A as the shortest.
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See the answer →Practise PSLE fractions until the mistakes stop.
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