Solve the equation (5)/(4) ( a - 8 ) =(2)/(3) \\a. 6 (14)/(15) \\\\b. 7 (1)/(15) \\\\c. 8 (8)/(15) \\\\d. 8 (2)/(3)

Question

Solve the equation


`(5)/(4) ( a - 8 ) =(2)/(3) \\a. 6 (14)/(15) \\\\b. 7 (1)/(15) \\\\c. 8 (8)/(15) \\\\d. 8 (2)/(3)`

Answer 1

C.
`\bold{a=8\frac8{15}}`

Explanation:

`\frac54(a-8)=\frac23` multiply both sides by
`\frac45`

`\frac45\cdot\frac54(a-8)=\frac23\cdot\frac45`

`a-8=\frac8{15}` add 8 to both sides

`a=8\frac8{15}`