What is 52/75 Divided By 8/7

Solving $\frac{52}{75}\div\frac{8}{7}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{52}{75} \div \frac{8}{7} = \frac{52}{75} \times \frac{7}{8}$

• Multiply the Numerators: $52 \times 7 = 364$
• Multiply the Denominators: $75 \times 8 = 600$
• Form the New Fraction: $\frac{52}{75} \times \frac{8}{7} = \frac{364}{600}$

Let's Simplify $\frac{364}{600}$

• Find the Greatest Common Divisor (GCD) of $364$ and $600$. The GCD of $364$ and $600$ is $4$.
• Divide both the numerator and the denominator by the GCD:$\frac{364 \div 4}{600 \div 4} = \frac{91}{150}$

Answer $\frac{52}{75}\div\frac{8}{7} = \frac{91}{150}$

The following animation demonstrates the divide-by,