What is 28/75 Divided By 8/3

Solving $\frac{28}{75}\div\frac{8}{3}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{28}{75} \div \frac{8}{3} = \frac{28}{75} \times \frac{3}{8}$

• Multiply the Numerators: $28 \times 3 = 84$
• Multiply the Denominators: $75 \times 8 = 600$
• Form the New Fraction: $\frac{28}{75} \times \frac{8}{3} = \frac{84}{600}$

Let's Simplify $\frac{84}{600}$

• Find the Greatest Common Divisor (GCD) of $84$ and $600$. The GCD of $84$ and $600$ is $12$.
• Divide both the numerator and the denominator by the GCD:$\frac{84 \div 12}{600 \div 12} = \frac{7}{50}$

Answer $\frac{28}{75}\div\frac{8}{3} = \frac{7}{50}$

The following animation demonstrates the divide-by,