What is 52/83 Divided By 4/5

Solving $\frac{52}{83}\div\frac{4}{5}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{52}{83} \div \frac{4}{5} = \frac{52}{83} \times \frac{5}{4}$

• Multiply the Numerators: $52 \times 5 = 260$
• Multiply the Denominators: $83 \times 4 = 332$
• Form the New Fraction: $\frac{52}{83} \times \frac{4}{5} = \frac{260}{332}$

Let's Simplify $\frac{260}{332}$

• Find the Greatest Common Divisor (GCD) of $260$ and $332$. The GCD of $260$ and $332$ is $4$.
• Divide both the numerator and the denominator by the GCD:$\frac{260 \div 4}{332 \div 4} = \frac{65}{83}$

Answer $\frac{52}{83}\div\frac{4}{5} = \frac{65}{83}$

The following animation demonstrates the divide-by,