What is 52/83 Divided By 2/5

Solving $\frac{52}{83}\div\frac{2}{5}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{52}{83} \div \frac{2}{5} = \frac{52}{83} \times \frac{5}{2}$

• Multiply the Numerators: $52 \times 5 = 260$
• Multiply the Denominators: $83 \times 2 = 166$
• Form the New Fraction: $\frac{52}{83} \times \frac{2}{5} = \frac{260}{166}$

Let's Simplify $\frac{260}{166}$

• Find the Greatest Common Divisor (GCD) of $260$ and $166$. The GCD of $260$ and $166$ is $2$.
• Divide both the numerator and the denominator by the GCD:$\frac{260 \div 2}{166 \div 2} = \frac{130}{83}$

Answer $\frac{52}{83}\div\frac{2}{5} = \frac{130}{83}$

The following animation demonstrates the divide-by,