Respuesta :

[tex]\text{Answer: - }\frac{1}{6}[/tex]

Given data

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

Firstly, convert the mixed fraction into an improper fraction

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

Answer = - 1/6