What is 18/75 Divided By 6/7

Solving $\frac{18}{75}\div\frac{6}{7}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{18}{75} \div \frac{6}{7} = \frac{18}{75} \times \frac{7}{6}$

• Multiply the Numerators: $18 \times 7 = 126$
• Multiply the Denominators: $75 \times 6 = 450$
• Form the New Fraction: $\frac{18}{75} \times \frac{6}{7} = \frac{126}{450}$

Let's Simplify $\frac{126}{450}$

• Find the Greatest Common Divisor (GCD) of $126$ and $450$. The GCD of $126$ and $450$ is $18$.
• Divide both the numerator and the denominator by the GCD:$\frac{126 \div 18}{450 \div 18} = \frac{7}{25}$

Answer $\frac{18}{75}\div\frac{6}{7} = \frac{7}{25}$

The following animation demonstrates the divide-by,