What is 91/42 Divided By 5/8

Solving $\frac{91}{42}\div\frac{5}{8}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{91}{42} \div \frac{5}{8} = \frac{91}{42} \times \frac{8}{5}$

• Multiply the Numerators: $91 \times 8 = 728$
• Multiply the Denominators: $42 \times 5 = 210$
• Form the New Fraction: $\frac{91}{42} \times \frac{5}{8} = \frac{728}{210}$

Let's Simplify $\frac{728}{210}$

• Find the Greatest Common Divisor (GCD) of $728$ and $210$. The GCD of $728$ and $210$ is $14$.
• Divide both the numerator and the denominator by the GCD:$\frac{728 \div 14}{210 \div 14} = \frac{52}{15}$

Answer $\frac{91}{42}\div\frac{5}{8} = \frac{52}{15}$

The following animation demonstrates the divide-by,