What is 52/57 Divided By 4/5

Solving $\frac{52}{57}\div\frac{4}{5}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{52}{57} \div \frac{4}{5} = \frac{52}{57} \times \frac{5}{4}$

• Multiply the Numerators: $52 \times 5 = 260$
• Multiply the Denominators: $57 \times 4 = 228$
• Form the New Fraction: $\frac{52}{57} \times \frac{4}{5} = \frac{260}{228}$

Let's Simplify $\frac{260}{228}$

• Find the Greatest Common Divisor (GCD) of $260$ and $228$. The GCD of $260$ and $228$ is $4$.
• Divide both the numerator and the denominator by the GCD:$\frac{260 \div 4}{228 \div 4} = \frac{65}{57}$

Answer $\frac{52}{57}\div\frac{4}{5} = \frac{65}{57}$

The following animation demonstrates the divide-by,