What is 18/26 Divided By 6/7

Solving $\frac{18}{26}\div\frac{6}{7}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{18}{26} \div \frac{6}{7} = \frac{18}{26} \times \frac{7}{6}$

• Multiply the Numerators: $18 \times 7 = 126$
• Multiply the Denominators: $26 \times 6 = 156$
• Form the New Fraction: $\frac{18}{26} \times \frac{6}{7} = \frac{126}{156}$

Let's Simplify $\frac{126}{156}$

• Find the Greatest Common Divisor (GCD) of $126$ and $156$. The GCD of $126$ and $156$ is $6$.
• Divide both the numerator and the denominator by the GCD:$\frac{126 \div 6}{156 \div 6} = \frac{21}{26}$

Answer $\frac{18}{26}\div\frac{6}{7} = \frac{21}{26}$

The following animation demonstrates the divide-by,