What is 60/75 Divided By 8/5

Solving $\frac{60}{75}\div\frac{8}{5}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{60}{75} \div \frac{8}{5} = \frac{60}{75} \times \frac{5}{8}$

• Multiply the Numerators: $60 \times 5 = 300$
• Multiply the Denominators: $75 \times 8 = 600$
• Form the New Fraction: $\frac{60}{75} \times \frac{8}{5} = \frac{300}{600}$

Let's Simplify $\frac{300}{600}$

• Find the Greatest Common Divisor (GCD) of $300$ and $600$. The GCD of $300$ and $600$ is $300$.
• Divide both the numerator and the denominator by the GCD:$\frac{300 \div 300}{600 \div 300} = \frac{1}{2}$

Answer $\frac{60}{75}\div\frac{8}{5} = \frac{1}{2}$

The following animation demonstrates the divide-by,