Question

9 2/5-(8 1/3-7 1/4+5 1/6)

Answer 1

$9 \frac{2}{5} - (8 \frac{1}{3} - 7 \frac{1}{4} + 5 \frac{1}{6} ) = 3 \frac{3}{20}$

$1)8 \frac{1}{3} - 7 \frac{1}{4} = \frac{25}{3} - \frac{29}{4} = \frac{4 \times 25 - 3 \times 29}{12}$

$= \frac{13}{12} = 1\frac{1}{12}$

$2)1 \frac{1}{12} + 5 \frac{1}{6} = \frac{13}{12} + \frac{31}{6} = \frac{13 + 2 \times 31}{12}$

$= \frac{75}{12} = \frac{25 \times 3}{4 \times 3} = 6 \frac{1}{4}$

$3)9 \frac{2}{5} - 6 \frac{1}{4} = \frac{47}{5} - \frac{25}{4} = \frac{4 \times 47 - 5 \times 25}{20}$

$= \frac{63}{20} = 3 \frac{3}{20}$