What is 39/72 Divided By 5/3

Solving $\frac{39}{72}\div\frac{5}{3}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{39}{72} \div \frac{5}{3} = \frac{39}{72} \times \frac{3}{5}$

• Multiply the Numerators: $39 \times 3 = 117$
• Multiply the Denominators: $72 \times 5 = 360$
• Form the New Fraction: $\frac{39}{72} \times \frac{5}{3} = \frac{117}{360}$

Let's Simplify $\frac{117}{360}$

• Find the Greatest Common Divisor (GCD) of $117$ and $360$. The GCD of $117$ and $360$ is $9$.
• Divide both the numerator and the denominator by the GCD:$\frac{117 \div 9}{360 \div 9} = \frac{13}{40}$

Answer $\frac{39}{72}\div\frac{5}{3} = \frac{13}{40}$

The following animation demonstrates the divide-by,