Question

\(\dfrac{1}{2}.\)\(\dfrac{3}{5}+\dfrac{4}{7}:\dfrac{4}{5}-\dfrac{1}{70}\)

\(\left(\dfrac{2}{3}+\dfrac{1}{5}-\dfrac{4}{9}\right):\left(\dfrac{1}{3}+\dfrac{2}{5}-\dfrac{6}{9}\right)\)

Answer 1

= 3/10 + 4/7 . 5/4 - 1/10 
= 3/10 + 5/7 - 1/70 
= 1.

Answer 2

\(\dfrac{3}{10}+\dfrac{4}{7}.\dfrac{5}{4}-\dfrac{1}{70}=\dfrac{3}{10}+\dfrac{5}{7}-\dfrac{1}{70}=\dfrac{21}{70}+\dfrac{50}{70}-\dfrac{10}{70}=\dfrac{70}{70}=1\)

Answer 3

1) \(=\dfrac{1}{2}.\dfrac{3}{5}+\dfrac{4}{7}.\dfrac{5}{4}-\dfrac{1}{70}\)

\(=\dfrac{3}{10}+\dfrac{5}{7}-\dfrac{1}{70}\)

\(=\dfrac{21}{70}+\dfrac{50}{70}-\dfrac{1}{70}\)

\(=1\)

2)

\(=\left(\dfrac{30}{45}+\dfrac{9}{45}-\dfrac{20}{45}\right):\left(\dfrac{15}{45}+\dfrac{18}{45}-\dfrac{30}{45}\right)\)

\(=\dfrac{19}{45}:\dfrac{1}{45}\)

\(=\dfrac{19}{45}.45\)

\(=19\)

Answer 4

\(\left(\dfrac{30}{45}+\dfrac{9}{45}-\dfrac{20}{45}\right):\left(\dfrac{15}{45}+\dfrac{18}{45}-\dfrac{30}{45}\right)=\dfrac{19}{45}:\dfrac{1}{45}=19:1=19\)