What is 81/52 Divided By 3/5

Solving $\frac{81}{52}\div\frac{3}{5}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{81}{52} \div \frac{3}{5} = \frac{81}{52} \times \frac{5}{3}$

• Multiply the Numerators: $81 \times 5 = 405$
• Multiply the Denominators: $52 \times 3 = 156$
• Form the New Fraction: $\frac{81}{52} \times \frac{3}{5} = \frac{405}{156}$

Let's Simplify $\frac{405}{156}$

• Find the Greatest Common Divisor (GCD) of $405$ and $156$. The GCD of $405$ and $156$ is $3$.
• Divide both the numerator and the denominator by the GCD:$\frac{405 \div 3}{156 \div 3} = \frac{135}{52}$

Answer $\frac{81}{52}\div\frac{3}{5} = \frac{135}{52}$

The following animation demonstrates the divide-by,