What is 60/75 Divided By 8/7

Solving $\frac{60}{75}\div\frac{8}{7}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{60}{75} \div \frac{8}{7} = \frac{60}{75} \times \frac{7}{8}$

• Multiply the Numerators: $60 \times 7 = 420$
• Multiply the Denominators: $75 \times 8 = 600$
• Form the New Fraction: $\frac{60}{75} \times \frac{8}{7} = \frac{420}{600}$

Let's Simplify $\frac{420}{600}$

• Find the Greatest Common Divisor (GCD) of $420$ and $600$. The GCD of $420$ and $600$ is $60$.
• Divide both the numerator and the denominator by the GCD:$\frac{420 \div 60}{600 \div 60} = \frac{7}{10}$

Answer $\frac{60}{75}\div\frac{8}{7} = \frac{7}{10}$

The following animation demonstrates the divide-by,