What is 52/75 Divided By 6/7

Solving $\frac{52}{75}\div\frac{6}{7}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{52}{75} \div \frac{6}{7} = \frac{52}{75} \times \frac{7}{6}$

• Multiply the Numerators: $52 \times 7 = 364$
• Multiply the Denominators: $75 \times 6 = 450$
• Form the New Fraction: $\frac{52}{75} \times \frac{6}{7} = \frac{364}{450}$

Let's Simplify $\frac{364}{450}$

• Find the Greatest Common Divisor (GCD) of $364$ and $450$. The GCD of $364$ and $450$ is $2$.
• Divide both the numerator and the denominator by the GCD:$\frac{364 \div 2}{450 \div 2} = \frac{182}{225}$

Answer $\frac{52}{75}\div\frac{6}{7} = \frac{182}{225}$

The following animation demonstrates the divide-by,