What is 18/74 Divided By 6/7

Solving $\frac{18}{74}\div\frac{6}{7}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{18}{74} \div \frac{6}{7} = \frac{18}{74} \times \frac{7}{6}$

• Multiply the Numerators: $18 \times 7 = 126$
• Multiply the Denominators: $74 \times 6 = 444$
• Form the New Fraction: $\frac{18}{74} \times \frac{6}{7} = \frac{126}{444}$

Let's Simplify $\frac{126}{444}$

• Find the Greatest Common Divisor (GCD) of $126$ and $444$. The GCD of $126$ and $444$ is $6$.
• Divide both the numerator and the denominator by the GCD:$\frac{126 \div 6}{444 \div 6} = \frac{21}{74}$

Answer $\frac{18}{74}\div\frac{6}{7} = \frac{21}{74}$

The following animation demonstrates the divide-by,