What is 18/26 Divided By 3/7

Solving $\frac{18}{26}\div\frac{3}{7}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{18}{26} \div \frac{3}{7} = \frac{18}{26} \times \frac{7}{3}$

• Multiply the Numerators: $18 \times 7 = 126$
• Multiply the Denominators: $26 \times 3 = 78$
• Form the New Fraction: $\frac{18}{26} \times \frac{3}{7} = \frac{126}{78}$

Let's Simplify $\frac{126}{78}$

• Find the Greatest Common Divisor (GCD) of $126$ and $78$. The GCD of $126$ and $78$ is $6$.
• Divide both the numerator and the denominator by the GCD:$\frac{126 \div 6}{78 \div 6} = \frac{21}{13}$

Answer $\frac{18}{26}\div\frac{3}{7} = \frac{21}{13}$

The following animation demonstrates the divide-by,