What is 72/18 Divided By 4/7

Solving $\frac{72}{18}\div\frac{4}{7}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{72}{18} \div \frac{4}{7} = \frac{72}{18} \times \frac{7}{4}$

• Multiply the Numerators: $72 \times 7 = 504$
• Multiply the Denominators: $18 \times 4 = 72$
• Form the New Fraction: $\frac{72}{18} \times \frac{4}{7} = \frac{504}{72}$

Let's Simplify $\frac{504}{72}$

• Find the Greatest Common Divisor (GCD) of $504$ and $72$. The GCD of $504$ and $72$ is $72$.
• Divide both the numerator and the denominator by the GCD:$\frac{504 \div 72}{72 \div 72} = \frac{7}{1}$

Answer $\frac{72}{18}\div\frac{4}{7} = \frac{7}{1}$

The following animation demonstrates the divide-by,