What is 72/75 Divided By 8/3

Solving $\frac{72}{75}\div\frac{8}{3}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{72}{75} \div \frac{8}{3} = \frac{72}{75} \times \frac{3}{8}$

• Multiply the Numerators: $72 \times 3 = 216$
• Multiply the Denominators: $75 \times 8 = 600$
• Form the New Fraction: $\frac{72}{75} \times \frac{8}{3} = \frac{216}{600}$

Let's Simplify $\frac{216}{600}$

• Find the Greatest Common Divisor (GCD) of $216$ and $600$. The GCD of $216$ and $600$ is $24$.
• Divide both the numerator and the denominator by the GCD:$\frac{216 \div 24}{600 \div 24} = \frac{9}{25}$

Answer $\frac{72}{75}\div\frac{8}{3} = \frac{9}{25}$

The following animation demonstrates the divide-by,