What is 45/39 Divided By 3/5

Solving $\frac{45}{39}\div\frac{3}{5}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{45}{39} \div \frac{3}{5} = \frac{45}{39} \times \frac{5}{3}$

• Multiply the Numerators: $45 \times 5 = 225$
• Multiply the Denominators: $39 \times 3 = 117$
• Form the New Fraction: $\frac{45}{39} \times \frac{3}{5} = \frac{225}{117}$

Let's Simplify $\frac{225}{117}$

• Find the Greatest Common Divisor (GCD) of $225$ and $117$. The GCD of $225$ and $117$ is $9$.
• Divide both the numerator and the denominator by the GCD:$\frac{225 \div 9}{117 \div 9} = \frac{25}{13}$

Answer $\frac{45}{39}\div\frac{3}{5} = \frac{25}{13}$

The following animation demonstrates the divide-by,