What is 72/75 Divided By 2/5

Solving $\frac{72}{75}\div\frac{2}{5}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{72}{75} \div \frac{2}{5} = \frac{72}{75} \times \frac{5}{2}$

• Multiply the Numerators: $72 \times 5 = 360$
• Multiply the Denominators: $75 \times 2 = 150$
• Form the New Fraction: $\frac{72}{75} \times \frac{2}{5} = \frac{360}{150}$

Let's Simplify $\frac{360}{150}$

• Find the Greatest Common Divisor (GCD) of $360$ and $150$. The GCD of $360$ and $150$ is $30$.
• Divide both the numerator and the denominator by the GCD:$\frac{360 \div 30}{150 \div 30} = \frac{12}{5}$

Answer $\frac{72}{75}\div\frac{2}{5} = \frac{12}{5}$

The following animation demonstrates the divide-by,