What is 72/75 Divided By 6/7

Solving $\frac{72}{75}\div\frac{6}{7}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{72}{75} \div \frac{6}{7} = \frac{72}{75} \times \frac{7}{6}$

• Multiply the Numerators: $72 \times 7 = 504$
• Multiply the Denominators: $75 \times 6 = 450$
• Form the New Fraction: $\frac{72}{75} \times \frac{6}{7} = \frac{504}{450}$

Let's Simplify $\frac{504}{450}$

• Find the Greatest Common Divisor (GCD) of $504$ and $450$. The GCD of $504$ and $450$ is $18$.
• Divide both the numerator and the denominator by the GCD:$\frac{504 \div 18}{450 \div 18} = \frac{28}{25}$

Answer $\frac{72}{75}\div\frac{6}{7} = \frac{28}{25}$

The following animation demonstrates the divide-by,