What is 52/72 Divided By 2/3

Solving $\frac{52}{72}\div\frac{2}{3}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{52}{72} \div \frac{2}{3} = \frac{52}{72} \times \frac{3}{2}$

• Multiply the Numerators: $52 \times 3 = 156$
• Multiply the Denominators: $72 \times 2 = 144$
• Form the New Fraction: $\frac{52}{72} \times \frac{2}{3} = \frac{156}{144}$

Let's Simplify $\frac{156}{144}$

• Find the Greatest Common Divisor (GCD) of $156$ and $144$. The GCD of $156$ and $144$ is $12$.
• Divide both the numerator and the denominator by the GCD:$\frac{156 \div 12}{144 \div 12} = \frac{13}{12}$

Answer $\frac{52}{72}\div\frac{2}{3} = \frac{13}{12}$

The following animation demonstrates the divide-by,