Question

What is -
`(5)/(8)` · - 8
`(8)/(9)`

Answer 1

`\large\boxed{-(8)/(9)\cdot\left(-8(8)/(9)\right)=71(1)/(9)}`

Explanation:

`-(8)/(9)\cdot\left(-8(8)/(9)\right)\qquad\text{convert the mixed number to the improper fraction}\\\\=(8)/(9)\cdot(8\cdot9+8)/(9)=(8)/(9)\cdot(80)/(9)=(640)/(9)=71(1)/(9)`