What is 39/72 Divided By 5/8

Solving $\frac{39}{72}\div\frac{5}{8}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{39}{72} \div \frac{5}{8} = \frac{39}{72} \times \frac{8}{5}$

• Multiply the Numerators: $39 \times 8 = 312$
• Multiply the Denominators: $72 \times 5 = 360$
• Form the New Fraction: $\frac{39}{72} \times \frac{5}{8} = \frac{312}{360}$

Let's Simplify $\frac{312}{360}$

• Find the Greatest Common Divisor (GCD) of $312$ and $360$. The GCD of $312$ and $360$ is $24$.
• Divide both the numerator and the denominator by the GCD:$\frac{312 \div 24}{360 \div 24} = \frac{13}{15}$

Answer $\frac{39}{72}\div\frac{5}{8} = \frac{13}{15}$

The following animation demonstrates the divide-by,