What is 52/45 Divided By 4/5

Solving $\frac{52}{45}\div\frac{4}{5}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{52}{45} \div \frac{4}{5} = \frac{52}{45} \times \frac{5}{4}$

• Multiply the Numerators: $52 \times 5 = 260$
• Multiply the Denominators: $45 \times 4 = 180$
• Form the New Fraction: $\frac{52}{45} \times \frac{4}{5} = \frac{260}{180}$

Let's Simplify $\frac{260}{180}$

• Find the Greatest Common Divisor (GCD) of $260$ and $180$. The GCD of $260$ and $180$ is $20$.
• Divide both the numerator and the denominator by the GCD:$\frac{260 \div 20}{180 \div 20} = \frac{13}{9}$

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

The following animation demonstrates the divide-by,