What is 27/63 Divided By 6/7

Solving $\frac{27}{63}\div\frac{6}{7}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{27}{63} \div \frac{6}{7} = \frac{27}{63} \times \frac{7}{6}$

• Multiply the Numerators: $27 \times 7 = 189$
• Multiply the Denominators: $63 \times 6 = 378$
• Form the New Fraction: $\frac{27}{63} \times \frac{6}{7} = \frac{189}{378}$

Let's Simplify $\frac{189}{378}$

• Find the Greatest Common Divisor (GCD) of $189$ and $378$. The GCD of $189$ and $378$ is $189$.
• Divide both the numerator and the denominator by the GCD:$\frac{189 \div 189}{378 \div 189} = \frac{1}{2}$

Answer $\frac{27}{63}\div\frac{6}{7} = \frac{1}{2}$

The following animation demonstrates the divide-by,