Question

Express the following as improper fractions:
a) $7\frac{3}{4}$

b) $5\frac{6}{7}$

c) $2\frac{5}{6}$

d) $10\frac{3}{5}$

e) $9\frac{3}{7}$

f)$8\frac{4}{9}$

Answer 1

a)

$7\frac{3}{4}=\frac{(4\times 7)+3}{4}=\frac{28+3}{4}=\frac{31}{4}$

b)

$5\frac{6}{7}=\frac{(7\times 5)+6}{7}=\frac{35+6}{7}=\frac{41}{7}$

c)

$2\frac{5}{6}=\frac{(6\times 2)+5}{6}=\frac{12+5}{6}=\frac{17}{6}$

d)

$10\frac{3}{5}=\frac{(5\times 10)+3}{5}=\frac{50+3}{5}=\frac{53}{5}$

e)

$9\frac{3}{7}=\frac{(7\times 9)+3}{7}=\frac{63+3}{7}=\frac{66}{7}$

f)

$8\frac{4}{9}=\frac{(8\times 9)+4}{9}=\frac{72+4}{9}=\frac{76}{9}$