What is 39/45 Divided By 7/5

Solving $\frac{39}{45}\div\frac{7}{5}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{39}{45} \div \frac{7}{5} = \frac{39}{45} \times \frac{5}{7}$

• Multiply the Numerators: $39 \times 5 = 195$
• Multiply the Denominators: $45 \times 7 = 315$
• Form the New Fraction: $\frac{39}{45} \times \frac{7}{5} = \frac{195}{315}$

Let's Simplify $\frac{195}{315}$

• Find the Greatest Common Divisor (GCD) of $195$ and $315$. The GCD of $195$ and $315$ is $15$.
• Divide both the numerator and the denominator by the GCD:$\frac{195 \div 15}{315 \div 15} = \frac{13}{21}$

Answer $\frac{39}{45}\div\frac{7}{5} = \frac{13}{21}$

The following animation demonstrates the divide-by,