What is 48/75 Divided By 8/5

Solving $\frac{48}{75}\div\frac{8}{5}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{48}{75} \div \frac{8}{5} = \frac{48}{75} \times \frac{5}{8}$

• Multiply the Numerators: $48 \times 5 = 240$
• Multiply the Denominators: $75 \times 8 = 600$
• Form the New Fraction: $\frac{48}{75} \times \frac{8}{5} = \frac{240}{600}$

Let's Simplify $\frac{240}{600}$

• Find the Greatest Common Divisor (GCD) of $240$ and $600$. The GCD of $240$ and $600$ is $120$.
• Divide both the numerator and the denominator by the GCD:$\frac{240 \div 120}{600 \div 120} = \frac{2}{5}$

Answer $\frac{48}{75}\div\frac{8}{5} = \frac{2}{5}$

The following animation demonstrates the divide-by,