Question

find the quotient. simplify your answer completely. \\(\frac{ - \frac{5}{8} }{ \frac{7}{3} } = - \frac{?}{\square}\\) enter the number that belongs in the green box.

Explanation:

Step1: Recall dividing fractions rule

Dividing by a fraction is multiplying by its reciprocal. So, \(\frac{-\frac{5}{8}}{\frac{7}{3}}=-\frac{5}{8}\times\frac{3}{7}\)

Step2: Multiply the numerators and denominators

Multiply numerators: \(5\times3 = 15\)
Multiply denominators: \(8\times7 = 56\)
So, \(-\frac{5}{8}\times\frac{3}{7}=-\frac{15}{56}\), which means the number in the green box (numerator) is \(15\) and denominator is \(56\), but we need the numerator here.

Answer:

15