Question

calcula y simplifica
a) 4/6 - 12/5 + 9/3
b) 6/5 * 3/8 : 2/3
c) 1/4 : 2/8 * 4/12

Answer 1

$\frac{4}{6}-\frac{12}{5}+\frac{9}{3}$
$=\frac{2}{3}-\frac{12}{5}+\frac{9}{3}$
$=\frac{2}{3}-\frac{12}{5}+3$
$=\frac{3}{1}+\frac{2}{3}-\frac{12}{5}$
$=\frac{3\cdot \:15}{15}+\frac{2\cdot \:5}{15}-\frac{12\cdot \:3}{15}$
$=\frac{3\cdot \:15+2\cdot \:5-3\cdot \:12}{15}$
$=\frac{19}{15}$


$\frac{6}{5}\cdot \frac{\frac{3}{8}}{\frac{2}{3}}$
$=\frac{6}{5}\cdot \frac{9}{16}$
$=\frac{6\cdot \:9}{5\cdot \:16}$
$=\frac{6\cdot \:9}{80}$
$=\frac{54}{80}$
$=\frac{27}{40}$


$\frac{\frac{1}{4}}{\frac{2}{8}}\cdot \frac{4}{12}$
$=1\cdot \frac{4}{12}$
$=1\cdot \frac{1}{3}$
$=\frac{1}{3}$