Question

2 and 1/7 :(15a)= 5/14 :(0.8)

Answer 1

• a = 0.32

Step-by-step explanation:

This question requires that you find the value of
`a` given that:

• 
  `2(1)/(7):(15a)=(5/14)/(0.8)`

That is you have to solve the equation for a.

1. Rewrite the equation in form of fractions, convert the mixed number into an improper fraction, and convert the decimal number into fraction too.

`2(1)/(7):(15a)=(5/14)/(0.8)\\ \\ (2+(1)/(7) )/(15a) =(5/14)/(8/10)\\ \\((14+1)/7)/(15a) =(5* 10)/(8* 14)\\ \\ (15)/(7* 15a) =(50)/(112)`

2. Cross multiply to leave a alone:

`a=15* 112/(7* 15* 50)\\ \\a=1680/5250\\ \\a=0.32`