What is 18/27 Divided By 6/7

Solving $\frac{18}{27}\div\frac{6}{7}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{18}{27} \div \frac{6}{7} = \frac{18}{27} \times \frac{7}{6}$

• Multiply the Numerators: $18 \times 7 = 126$
• Multiply the Denominators: $27 \times 6 = 162$
• Form the New Fraction: $\frac{18}{27} \times \frac{6}{7} = \frac{126}{162}$

Let's Simplify $\frac{126}{162}$

• Find the Greatest Common Divisor (GCD) of $126$ and $162$. The GCD of $126$ and $162$ is $18$.
• Divide both the numerator and the denominator by the GCD:$\frac{126 \div 18}{162 \div 18} = \frac{7}{9}$

Answer $\frac{18}{27}\div\frac{6}{7} = \frac{7}{9}$

The following animation demonstrates the divide-by,