What is 39/53 Divided By 3/5

Solving $\frac{39}{53}\div\frac{3}{5}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{39}{53} \div \frac{3}{5} = \frac{39}{53} \times \frac{5}{3}$

• Multiply the Numerators: $39 \times 5 = 195$
• Multiply the Denominators: $53 \times 3 = 159$
• Form the New Fraction: $\frac{39}{53} \times \frac{3}{5} = \frac{195}{159}$

Let's Simplify $\frac{195}{159}$

• Find the Greatest Common Divisor (GCD) of $195$ and $159$. The GCD of $195$ and $159$ is $3$.
• Divide both the numerator and the denominator by the GCD:$\frac{195 \div 3}{159 \div 3} = \frac{65}{53}$

Answer $\frac{39}{53}\div\frac{3}{5} = \frac{65}{53}$

The following animation demonstrates the divide-by,