What is 52/83 Divided By 6/5

Solving $\frac{52}{83}\div\frac{6}{5}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{52}{83} \div \frac{6}{5} = \frac{52}{83} \times \frac{5}{6}$

• Multiply the Numerators: $52 \times 5 = 260$
• Multiply the Denominators: $83 \times 6 = 498$
• Form the New Fraction: $\frac{52}{83} \times \frac{6}{5} = \frac{260}{498}$

Let's Simplify $\frac{260}{498}$

• Find the Greatest Common Divisor (GCD) of $260$ and $498$. The GCD of $260$ and $498$ is $2$.
• Divide both the numerator and the denominator by the GCD:$\frac{260 \div 2}{498 \div 2} = \frac{130}{249}$

Answer $\frac{52}{83}\div\frac{6}{5} = \frac{130}{249}$

The following animation demonstrates the divide-by,