Question

A/20 + 14/15 = 9/15

Can i get some help?

Answer 1

Method 1:


`(a)/(20)+(14)/(15)=(9)/(15)\ \ \ \ |multiply\ both\ sides\ by\ 60\\\\60\cdot(a)/(20)+60\cdot(14)/(15)=60\cdot(9)/(15)\\\\3a+4\cdot14=4\cdot9\\\\3a+56=36\ \ \ \ |subtract\ 56\ from\ both\ sides\\\\3a=-20\ \ \ \ |divide\ both\ sides\ by\ 3\\\\\boxed{a=-(20)/(3)\to a=-6(2)/(3)}`

Method 2.


`(a)/(20)+(14)/(15)=(9)/(15)\ \ \ \ |subtract\ (14)/(15)\ form\ both\ sides\\\\(a)/(20)=-(5)/(15)\\\\(a)/(20)=-(1)/(3)\ \ \ \ |multiply\ both\ sides\ by\ 20\\\\\boxed{a=-(20)/(3)\to a=-6(2)/(3)}`