What is 48/72 Divided By 2/5

Solving $\frac{48}{72}\div\frac{2}{5}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{48}{72} \div \frac{2}{5} = \frac{48}{72} \times \frac{5}{2}$

• Multiply the Numerators: $48 \times 5 = 240$
• Multiply the Denominators: $72 \times 2 = 144$
• Form the New Fraction: $\frac{48}{72} \times \frac{2}{5} = \frac{240}{144}$

Let's Simplify $\frac{240}{144}$

• Find the Greatest Common Divisor (GCD) of $240$ and $144$. The GCD of $240$ and $144$ is $48$.
• Divide both the numerator and the denominator by the GCD:$\frac{240 \div 48}{144 \div 48} = \frac{5}{3}$

Answer $\frac{48}{72}\div\frac{2}{5} = \frac{5}{3}$

The following animation demonstrates the divide-by,