What is 28/75 Divided By 4/5

Solving $\frac{28}{75}\div\frac{4}{5}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{28}{75} \div \frac{4}{5} = \frac{28}{75} \times \frac{5}{4}$

• Multiply the Numerators: $28 \times 5 = 140$
• Multiply the Denominators: $75 \times 4 = 300$
• Form the New Fraction: $\frac{28}{75} \times \frac{4}{5} = \frac{140}{300}$

Let's Simplify $\frac{140}{300}$

• Find the Greatest Common Divisor (GCD) of $140$ and $300$. The GCD of $140$ and $300$ is $20$.
• Divide both the numerator and the denominator by the GCD:$\frac{140 \div 20}{300 \div 20} = \frac{7}{15}$

Answer $\frac{28}{75}\div\frac{4}{5} = \frac{7}{15}$

The following animation demonstrates the divide-by,