What is 27/63 Divided By 5/7

Solving $\frac{27}{63}\div\frac{5}{7}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{27}{63} \div \frac{5}{7} = \frac{27}{63} \times \frac{7}{5}$

• Multiply the Numerators: $27 \times 7 = 189$
• Multiply the Denominators: $63 \times 5 = 315$
• Form the New Fraction: $\frac{27}{63} \times \frac{5}{7} = \frac{189}{315}$

Let's Simplify $\frac{189}{315}$

• Find the Greatest Common Divisor (GCD) of $189$ and $315$. The GCD of $189$ and $315$ is $63$.
• Divide both the numerator and the denominator by the GCD:$\frac{189 \div 63}{315 \div 63} = \frac{3}{5}$

Answer $\frac{27}{63}\div\frac{5}{7} = \frac{3}{5}$

The following animation demonstrates the divide-by,