What is 66/75 Divided By 8/7

Solving $\frac{66}{75}\div\frac{8}{7}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{66}{75} \div \frac{8}{7} = \frac{66}{75} \times \frac{7}{8}$

• Multiply the Numerators: $66 \times 7 = 462$
• Multiply the Denominators: $75 \times 8 = 600$
• Form the New Fraction: $\frac{66}{75} \times \frac{8}{7} = \frac{462}{600}$

Let's Simplify $\frac{462}{600}$

• Find the Greatest Common Divisor (GCD) of $462$ and $600$. The GCD of $462$ and $600$ is $6$.
• Divide both the numerator and the denominator by the GCD:$\frac{462 \div 6}{600 \div 6} = \frac{77}{100}$

Answer $\frac{66}{75}\div\frac{8}{7} = \frac{77}{100}$

The following animation demonstrates the divide-by,