What is 60/75 Divided By 6/7

Solving $\frac{60}{75}\div\frac{6}{7}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{60}{75} \div \frac{6}{7} = \frac{60}{75} \times \frac{7}{6}$

• Multiply the Numerators: $60 \times 7 = 420$
• Multiply the Denominators: $75 \times 6 = 450$
• Form the New Fraction: $\frac{60}{75} \times \frac{6}{7} = \frac{420}{450}$

Let's Simplify $\frac{420}{450}$

• Find the Greatest Common Divisor (GCD) of $420$ and $450$. The GCD of $420$ and $450$ is $30$.
• Divide both the numerator and the denominator by the GCD:$\frac{420 \div 30}{450 \div 30} = \frac{14}{15}$

Answer $\frac{60}{75}\div\frac{6}{7} = \frac{14}{15}$

The following animation demonstrates the divide-by,