Question

Find the quotient. Simplify the answer.4 4/5 / 8/15

Answer 1

9

Step-by-step explanation:

`4(4)/(5)/(8)/(15)`

we convert the division to multiplication by multiplying the 4 4/5 by the inverse of 8/15:

inverse of 8/15 = 15/8

`\begin{gathered} 4(4)/(5)*(15)/(8) \\ \text{convert }4(4)/(5)\text{ to improper fraction} \\ (24)/(5)*(15)/(8) \end{gathered}`
`\begin{gathered} (24)/(5)*(15)/(8)\text{ = }(3*3)/(1) \\ =9 \end{gathered}`