What is 60/75 Divided By 6/5

Solving $\frac{60}{75}\div\frac{6}{5}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{60}{75} \div \frac{6}{5} = \frac{60}{75} \times \frac{5}{6}$

• Multiply the Numerators: $60 \times 5 = 300$
• Multiply the Denominators: $75 \times 6 = 450$
• Form the New Fraction: $\frac{60}{75} \times \frac{6}{5} = \frac{300}{450}$

Let's Simplify $\frac{300}{450}$

• Find the Greatest Common Divisor (GCD) of $300$ and $450$. The GCD of $300$ and $450$ is $150$.
• Divide both the numerator and the denominator by the GCD:$\frac{300 \div 150}{450 \div 150} = \frac{2}{3}$

Answer $\frac{60}{75}\div\frac{6}{5} = \frac{2}{3}$

The following animation demonstrates the divide-by,