What is 39/72 Divided By 6/4

Solving $\frac{39}{72}\div\frac{6}{4}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{39}{72} \div \frac{6}{4} = \frac{39}{72} \times \frac{4}{6}$

• Multiply the Numerators: $39 \times 4 = 156$
• Multiply the Denominators: $72 \times 6 = 432$
• Form the New Fraction: $\frac{39}{72} \times \frac{6}{4} = \frac{156}{432}$

Let's Simplify $\frac{156}{432}$

• Find the Greatest Common Divisor (GCD) of $156$ and $432$. The GCD of $156$ and $432$ is $12$.
• Divide both the numerator and the denominator by the GCD:$\frac{156 \div 12}{432 \div 12} = \frac{13}{36}$

Answer $\frac{39}{72}\div\frac{6}{4} = \frac{13}{36}$

The following animation demonstrates the divide-by,