What is 27/66 Divided By 3/7

Solving $\frac{27}{66}\div\frac{3}{7}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{27}{66} \div \frac{3}{7} = \frac{27}{66} \times \frac{7}{3}$

• Multiply the Numerators: $27 \times 7 = 189$
• Multiply the Denominators: $66 \times 3 = 198$
• Form the New Fraction: $\frac{27}{66} \times \frac{3}{7} = \frac{189}{198}$

Let's Simplify $\frac{189}{198}$

• Find the Greatest Common Divisor (GCD) of $189$ and $198$. The GCD of $189$ and $198$ is $9$.
• Divide both the numerator and the denominator by the GCD:$\frac{189 \div 9}{198 \div 9} = \frac{21}{22}$

Answer $\frac{27}{66}\div\frac{3}{7} = \frac{21}{22}$

The following animation demonstrates the divide-by,