What is 72/52 Divided By 9/8

Solving $\frac{72}{52}\div\frac{9}{8}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{72}{52} \div \frac{9}{8} = \frac{72}{52} \times \frac{8}{9}$

• Multiply the Numerators: $72 \times 8 = 576$
• Multiply the Denominators: $52 \times 9 = 468$
• Form the New Fraction: $\frac{72}{52} \times \frac{9}{8} = \frac{576}{468}$

Let's Simplify $\frac{576}{468}$

• Find the Greatest Common Divisor (GCD) of $576$ and $468$. The GCD of $576$ and $468$ is $36$.
• Divide both the numerator and the denominator by the GCD:$\frac{576 \div 36}{468 \div 36} = \frac{16}{13}$

Answer $\frac{72}{52}\div\frac{9}{8} = \frac{16}{13}$

The following animation demonstrates the divide-by,