What is 45/75 Divided By 8/5

Solving $\frac{45}{75}\div\frac{8}{5}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{45}{75} \div \frac{8}{5} = \frac{45}{75} \times \frac{5}{8}$

• Multiply the Numerators: $45 \times 5 = 225$
• Multiply the Denominators: $75 \times 8 = 600$
• Form the New Fraction: $\frac{45}{75} \times \frac{8}{5} = \frac{225}{600}$

Let's Simplify $\frac{225}{600}$

• Find the Greatest Common Divisor (GCD) of $225$ and $600$. The GCD of $225$ and $600$ is $75$.
• Divide both the numerator and the denominator by the GCD:$\frac{225 \div 75}{600 \div 75} = \frac{3}{8}$

Answer $\frac{45}{75}\div\frac{8}{5} = \frac{3}{8}$

The following animation demonstrates the divide-by,