What is 39/52 Divided By 3/5

Solving $\frac{39}{52}\div\frac{3}{5}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{39}{52} \div \frac{3}{5} = \frac{39}{52} \times \frac{5}{3}$

• Multiply the Numerators: $39 \times 5 = 195$
• Multiply the Denominators: $52 \times 3 = 156$
• Form the New Fraction: $\frac{39}{52} \times \frac{3}{5} = \frac{195}{156}$

Let's Simplify $\frac{195}{156}$

• Find the Greatest Common Divisor (GCD) of $195$ and $156$. The GCD of $195$ and $156$ is $39$.
• Divide both the numerator and the denominator by the GCD:$\frac{195 \div 39}{156 \div 39} = \frac{5}{4}$

Answer $\frac{39}{52}\div\frac{3}{5} = \frac{5}{4}$

The following animation demonstrates the divide-by,