Question

Simplify and explain your answer 4/7+2/5(1/5+1/10)

Answer 1

`(4)/(7)+(2)/(5)\cdot((1)/(5)+(1)/(10))=(4)/(7)+(2)/(5)\cdot((2)/(10)+(1)/(10))=(4)/(7)+(2)/(5)\cdot(3)/(10)=(4)/(7)+(1)/(5)\cdot(3)/(5)\\\\=(4)/(7)+(6)/(25)=(4\cdot25)/(7\cdot25)+(6\cdot7)/(25\cdot7)=(100)/(175)+(42)/(175)=(142)/(175)`