What is 72/33 Divided By 4/5

Solving $\frac{72}{33}\div\frac{4}{5}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{72}{33} \div \frac{4}{5} = \frac{72}{33} \times \frac{5}{4}$

• Multiply the Numerators: $72 \times 5 = 360$
• Multiply the Denominators: $33 \times 4 = 132$
• Form the New Fraction: $\frac{72}{33} \times \frac{4}{5} = \frac{360}{132}$

Let's Simplify $\frac{360}{132}$

• Find the Greatest Common Divisor (GCD) of $360$ and $132$. The GCD of $360$ and $132$ is $12$.
• Divide both the numerator and the denominator by the GCD:$\frac{360 \div 12}{132 \div 12} = \frac{30}{11}$

Answer $\frac{72}{33}\div\frac{4}{5} = \frac{30}{11}$

The following animation demonstrates the divide-by,