What is 27/63 Divided By 4/6

Solving $\frac{27}{63}\div\frac{4}{6}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{27}{63} \div \frac{4}{6} = \frac{27}{63} \times \frac{6}{4}$

• Multiply the Numerators: $27 \times 6 = 162$
• Multiply the Denominators: $63 \times 4 = 252$
• Form the New Fraction: $\frac{27}{63} \times \frac{4}{6} = \frac{162}{252}$

Let's Simplify $\frac{162}{252}$

• Find the Greatest Common Divisor (GCD) of $162$ and $252$. The GCD of $162$ and $252$ is $18$.
• Divide both the numerator and the denominator by the GCD:$\frac{162 \div 18}{252 \div 18} = \frac{9}{14}$

Answer $\frac{27}{63}\div\frac{4}{6} = \frac{9}{14}$

The following animation demonstrates the divide-by,