Question

simplify.
\frac{\frac{5}{8}}{\frac{7}{10}}

Explanation:

Step1: Recall dividing fractions rule

Dividing by a fraction is multiplying by its reciprocal. So \(\frac{\frac{5}{8}}{\frac{7}{10}}=\frac{5}{8}\times\frac{10}{7}\)

Step2: Multiply numerators and denominators

Multiply numerators: \(5\times10 = 50\), denominators: \(8\times7=56\). So we get \(\frac{50}{56}\)

Step3: Simplify the fraction

Divide numerator and denominator by 2: \(\frac{50\div2}{56\div2}=\frac{25}{28}\)

Answer:

\(\frac{25}{28}\)