What is 18/99 Divided By 6/7

Solving $\frac{18}{99}\div\frac{6}{7}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{18}{99} \div \frac{6}{7} = \frac{18}{99} \times \frac{7}{6}$

• Multiply the Numerators: $18 \times 7 = 126$
• Multiply the Denominators: $99 \times 6 = 594$
• Form the New Fraction: $\frac{18}{99} \times \frac{6}{7} = \frac{126}{594}$

Let's Simplify $\frac{126}{594}$

• Find the Greatest Common Divisor (GCD) of $126$ and $594$. The GCD of $126$ and $594$ is $18$.
• Divide both the numerator and the denominator by the GCD:$\frac{126 \div 18}{594 \div 18} = \frac{7}{33}$

Answer $\frac{18}{99}\div\frac{6}{7} = \frac{7}{33}$

The following animation demonstrates the divide-by,