What is 91/60 Divided By 7/8

Solving $\frac{91}{60}\div\frac{7}{8}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{91}{60} \div \frac{7}{8} = \frac{91}{60} \times \frac{8}{7}$

• Multiply the Numerators: $91 \times 8 = 728$
• Multiply the Denominators: $60 \times 7 = 420$
• Form the New Fraction: $\frac{91}{60} \times \frac{7}{8} = \frac{728}{420}$

Let's Simplify $\frac{728}{420}$

• Find the Greatest Common Divisor (GCD) of $728$ and $420$. The GCD of $728$ and $420$ is $28$.
• Divide both the numerator and the denominator by the GCD:$\frac{728 \div 28}{420 \div 28} = \frac{26}{15}$

Answer $\frac{91}{60}\div\frac{7}{8} = \frac{26}{15}$

The following animation demonstrates the divide-by,