What is 28/75 Divided By 8/5

Solving $\frac{28}{75}\div\frac{8}{5}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{28}{75} \div \frac{8}{5} = \frac{28}{75} \times \frac{5}{8}$

• Multiply the Numerators: $28 \times 5 = 140$
• Multiply the Denominators: $75 \times 8 = 600$
• Form the New Fraction: $\frac{28}{75} \times \frac{8}{5} = \frac{140}{600}$

Let's Simplify $\frac{140}{600}$

• Find the Greatest Common Divisor (GCD) of $140$ and $600$. The GCD of $140$ and $600$ is $20$.
• Divide both the numerator and the denominator by the GCD:$\frac{140 \div 20}{600 \div 20} = \frac{7}{30}$

Answer $\frac{28}{75}\div\frac{8}{5} = \frac{7}{30}$

The following animation demonstrates the divide-by,