Question

8/9:(3/4+1/2), (3/5-12/25):4/5, 4/15:(1 1/5-2/3)=

Answer 1

8/9:(3/4+1/2)= 8/9:(3/4+2/4)=8/9*4/5=

= 40/45*36/45=1440/45=32

(3/5-12/25):4/5=(15/25-12/25)*5/4=3/25*5/4= 3/20

4/15:(11/5-2/3)= 4/15:(33/15-10/15)= 4/15:23/15=4/15*15/23=4/23

Answer 2

$\frac{8}{9} \div (\frac{3}{4} + \frac{1}{2} ) = \\ \frac{3}{4} + \frac{1}{2} = \frac{3 + 2}{4} = \frac{6}{4} \\ \frac{8}{9} \div \frac{6}{4} = \frac{8}{9} \times \frac{4}{6} = \frac{32}{54}$

$( \frac{3}{5} - \frac{12}{25} ) \div \frac{4}{5} = \\ \frac{3}{5} - \frac{12}{25} = \frac{15 - 12}{25} = \frac{3}{25} \\ \frac{3}{25} \div \frac{4}{5} = \frac{3}{25} \times \frac{5}{4} = \frac{3 \times 25}{4} = \frac{75}{4} = 18 \times \frac{3}{4}$

$\frac{4}{15} \div (1 \times \frac{1}{5} - \frac{2}{3}) = \\ 1 \times \frac{1}{5} - \frac{2}{3} = \frac{6}{5} - \frac{2}{3} = \frac{18 - 10}{15} = \frac{8}{15} \\ \frac{4}{15} \div \frac{8}{15} = \frac{4}{15} \times \frac{15}{8} = 2$