Question

Divide. Reduce your answers to lowest terms.5/8 divide (-3 3/4)

Answer 1

`\text{Answer: - }(1)/(6)`

Given data

5/8 divided by (-3 3/4)

Firstly, convert the mixed fraction into an improper fraction

`\begin{gathered} -3\text{ }(3)/(4)\text{ can be converted to the below improper fraction} \\ -3\text{ }(3)/(4)\text{ = -}\frac{(4\text{ x (3) + 3}}{4} \\ -\text{ 3}(3)/(4)\text{ = - }\frac{12\text{ + 3}}{4} \\ -\text{ 3 }(3)/(4)\text{ = - }(15)/(4) \\ \text{Therefore, 5/8 divided by - 15/4} \\ (5)/(8)\text{ / -}(15)/(4) \\ (5)/(8)\text{ x -}(4)/(15) \\ =\text{ }(-20)/(120) \\ =\text{ - }(1)/(6) \end{gathered}`

Answer = - 1/6