Question

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

• A. $\frac{13}{4}$
• B. $\frac{11}{2}$
• C. $2\frac{2}{7}$
• D. $7\frac{5}{7}$

Answer 1

Consider $3\frac{2}{8}$.
We have $3\frac{2}{8}=\frac{(3\times 8)+2}{8}=\frac{26}{8}=\frac{13}{4}$.
Similarly, $5\frac{2}{4}=\frac{(5\times 4)+2}{4}=\frac{22}{4}=\frac{11}{2}$
OR
$5\frac{2}{4}=5+\frac{2}{4}=\frac{5}{1}+\frac{1}{2}=\frac{10}{2}+\frac{1}{2}$
$=\frac{10+1}{2}=\frac{11}{2}$

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 $Quotient\frac{Remainder}{Divisor}$.
i.e., Thus, $\frac{16}{7}=2\frac{2}{7}$ and $\frac{54}{7}=7\frac{5}{7}$.