What is 72/48 Divided By 5/7

Solving $\frac{72}{48}\div\frac{5}{7}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{72}{48} \div \frac{5}{7} = \frac{72}{48} \times \frac{7}{5}$

• Multiply the Numerators: $72 \times 7 = 504$
• Multiply the Denominators: $48 \times 5 = 240$
• Form the New Fraction: $\frac{72}{48} \times \frac{5}{7} = \frac{504}{240}$

Let's Simplify $\frac{504}{240}$

• Find the Greatest Common Divisor (GCD) of $504$ and $240$. The GCD of $504$ and $240$ is $24$.
• Divide both the numerator and the denominator by the GCD:$\frac{504 \div 24}{240 \div 24} = \frac{21}{10}$

Answer $\frac{72}{48}\div\frac{5}{7} = \frac{21}{10}$

The following animation demonstrates the divide-by,