Xavier, Yuna and Zack share 1200 cards in the ratio 2 : 3 : 7. What fraction of the cards does Yuna receive? Give your answer in simplest form.
Need a hint?
Find the total number of parts first, then write Yuna's parts as a fraction of that total.
Worked answer
- The ratio has 2 + 3 + 7 = 12 equal parts altogether.
- Yuna receives 3 of the 12 parts, so her fraction is 3/12.
- 3/12 in simplest form is 14.
Answer: 1/4
The mistake this question tests
Habit
Simplest form in final fraction answers
Writing Yuna's parts over the parts of another person (for example 3/7 or 3/2) gives a ratio comparison, not a fraction of the whole.
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