What is 72/76 Divided By 6/7

Solving $\frac{72}{76}\div\frac{6}{7}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{72}{76} \div \frac{6}{7} = \frac{72}{76} \times \frac{7}{6}$

• Multiply the Numerators: $72 \times 7 = 504$
• Multiply the Denominators: $76 \times 6 = 456$
• Form the New Fraction: $\frac{72}{76} \times \frac{6}{7} = \frac{504}{456}$

Let's Simplify $\frac{504}{456}$

• Find the Greatest Common Divisor (GCD) of $504$ and $456$. The GCD of $504$ and $456$ is $24$.
• Divide both the numerator and the denominator by the GCD:$\frac{504 \div 24}{456 \div 24} = \frac{21}{19}$

Answer $\frac{72}{76}\div\frac{6}{7} = \frac{21}{19}$

The following animation demonstrates the divide-by,