What is 52/45 Divided By 4/9

Solving $\frac{52}{45}\div\frac{4}{9}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{52}{45} \div \frac{4}{9} = \frac{52}{45} \times \frac{9}{4}$

• Multiply the Numerators: $52 \times 9 = 468$
• Multiply the Denominators: $45 \times 4 = 180$
• Form the New Fraction: $\frac{52}{45} \times \frac{4}{9} = \frac{468}{180}$

Let's Simplify $\frac{468}{180}$

• Find the Greatest Common Divisor (GCD) of $468$ and $180$. The GCD of $468$ and $180$ is $36$.
• Divide both the numerator and the denominator by the GCD:$\frac{468 \div 36}{180 \div 36} = \frac{13}{5}$

Answer $\frac{52}{45}\div\frac{4}{9} = \frac{13}{5}$

The following animation demonstrates the divide-by,