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Question

Match the mixed fractions to its corresponding improper fractions, and vice-versa.

A
134
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B
112
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C
227
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D
757
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Solution

Consider 328.
We have 328=(3×8)+28=268=134.
Similarly, 524=(5×4)+24=224=112
OR
524=5+24=51+12=102+12
=10+12=112

Now to convert improper fractions into mixed fractions, we divide the numerator by the denominator and then find the quotient and the remainder.
The mixed fraction can then be written as QuotientRemainderDivisor.
i.e., Thus, 167=227 and 547=757.

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