Question

(2/5 + 4/9 - 2/3) multiplied by 5/2 - 3/5

Answer 1

Answer:

Step-by-step explanation:

Least common denominator of 5 , 9 , 3 = 45

$\frac{2}{5}+\frac{4}{9}-\frac{2}{3}=\frac{2*9}{5*9}+\frac{4*5}{9*5}-\frac{2*15}{3*15}\\\\=\frac{18}{45}+\frac{20}{45}-\frac{30}{45}\\\\= \frac{18+20-30}{45}\\\\= \frac{8}{45}$

Least common denominator of 2, 5 = 10

$\frac{5}{2}-\frac{3}{5}=\frac{5*5}{2*2}-\frac{3*2}{5*2}\\\\=\frac{25}{10}-\frac{6}{10}\\\\=\frac{25-6}{10}\\\\= \frac{19}{10}$

$(\frac{2}{5}+\frac{4}{9}-\frac{2}{3})*(\frac{5}{2}-\frac{3}{5})=\frac{8}{45}*\frac{19}{10}\\\\= \frac{4*19}{45*5}\\\\= \frac{76}{225}$