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A school team played 22 matches in a season and won 14 of them. What fraction of the matches did the team win, in simplest form?

Class 6FractionsFractions
  • A
  • B
  • C
  • D

Step-by-Step Solution

Wins out of total = . Both 14 and 22 are divisible by 2, giving . Halving only the numerator produces , and wrongly compares the wins with the 8 matches not won instead of with all 22.
Answer: A)

Key idea: Reading a fraction

A fraction a/b says: the whole is split into b equal parts, and we are talking about a of them. So 3/8 means: divide the whole into 8 equal parts, take 3 of them. The two equal parts is what makes it a fraction — three slices of an unevenly cut cake do not give you 3/8. The denominator must always be a positive whole number. The numerator can be 0, equal to the denominator (giving 1), greater than the denominator, or less than it.

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