What is 28/75 Divided By 2/5

Solving $\frac{28}{75}\div\frac{2}{5}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{28}{75} \div \frac{2}{5} = \frac{28}{75} \times \frac{5}{2}$

• Multiply the Numerators: $28 \times 5 = 140$
• Multiply the Denominators: $75 \times 2 = 150$
• Form the New Fraction: $\frac{28}{75} \times \frac{2}{5} = \frac{140}{150}$

Let's Simplify $\frac{140}{150}$

• Find the Greatest Common Divisor (GCD) of $140$ and $150$. The GCD of $140$ and $150$ is $10$.
• Divide both the numerator and the denominator by the GCD:$\frac{140 \div 10}{150 \div 10} = \frac{14}{15}$

Answer $\frac{28}{75}\div\frac{2}{5} = \frac{14}{15}$

The following animation demonstrates the divide-by,