What is 39/72 Divided By 6/5

Solving $\frac{39}{72}\div\frac{6}{5}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{39}{72} \div \frac{6}{5} = \frac{39}{72} \times \frac{5}{6}$

• Multiply the Numerators: $39 \times 5 = 195$
• Multiply the Denominators: $72 \times 6 = 432$
• Form the New Fraction: $\frac{39}{72} \times \frac{6}{5} = \frac{195}{432}$

Let's Simplify $\frac{195}{432}$

• Find the Greatest Common Divisor (GCD) of $195$ and $432$. The GCD of $195$ and $432$ is $3$.
• Divide both the numerator and the denominator by the GCD:$\frac{195 \div 3}{432 \div 3} = \frac{65}{144}$

Answer $\frac{39}{72}\div\frac{6}{5} = \frac{65}{144}$

The following animation demonstrates the divide-by,