What is 24/72 Divided By 5/8

Solving $\frac{24}{72}\div\frac{5}{8}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{24}{72} \div \frac{5}{8} = \frac{24}{72} \times \frac{8}{5}$

• Multiply the Numerators: $24 \times 8 = 192$
• Multiply the Denominators: $72 \times 5 = 360$
• Form the New Fraction: $\frac{24}{72} \times \frac{5}{8} = \frac{192}{360}$

Let's Simplify $\frac{192}{360}$

• Find the Greatest Common Divisor (GCD) of $192$ and $360$. The GCD of $192$ and $360$ is $24$.
• Divide both the numerator and the denominator by the GCD:$\frac{192 \div 24}{360 \div 24} = \frac{8}{15}$

Answer $\frac{24}{72}\div\frac{5}{8} = \frac{8}{15}$

The following animation demonstrates the divide-by,