Question

Convert into improper fractions.
(i) $7\frac{2}{5}$
(ii) $5\frac{1}{6}$
(iii) $4\frac{3}{4}$
(iv) $2\frac{5}{9}$
(v) $1\frac{5}{7}$

Answer 1

(i) $7\frac{2}{5}=\frac{5\times 7+2}{5}=\frac{35+2}{5}=\frac{37}{5}$
(ii) $5\frac{1}{6}=\frac{6\times 5+1}{6}=\frac{30+1}{6}=\frac{31}{6}$
(iii) $4\frac{3}{4}=\frac{4\times 4+3}{4}=\frac{16+3}{4}=\frac{19}{4}$
(iv) $2\frac{5}{9}=\frac{9\times 2+5}{9}=\frac{18+5}{9}=\frac{23}{9}$
(v) $1\frac{5}{7}=\frac{7\times 1+5}{7}=\frac{7+5}{7}=\frac{12}{7}$