What is 48/72 Divided By 4/5

Solving $\frac{48}{72}\div\frac{4}{5}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{48}{72} \div \frac{4}{5} = \frac{48}{72} \times \frac{5}{4}$

• Multiply the Numerators: $48 \times 5 = 240$
• Multiply the Denominators: $72 \times 4 = 288$
• Form the New Fraction: $\frac{48}{72} \times \frac{4}{5} = \frac{240}{288}$

Let's Simplify $\frac{240}{288}$

• Find the Greatest Common Divisor (GCD) of $240$ and $288$. The GCD of $240$ and $288$ is $48$.
• Divide both the numerator and the denominator by the GCD:$\frac{240 \div 48}{288 \div 48} = \frac{5}{6}$

Answer $\frac{48}{72}\div\frac{4}{5} = \frac{5}{6}$

The following animation demonstrates the divide-by,