What is 28/75 Divided By 7/5

Solving $\frac{28}{75}\div\frac{7}{5}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{28}{75} \div \frac{7}{5} = \frac{28}{75} \times \frac{5}{7}$

• Multiply the Numerators: $28 \times 5 = 140$
• Multiply the Denominators: $75 \times 7 = 525$
• Form the New Fraction: $\frac{28}{75} \times \frac{7}{5} = \frac{140}{525}$

Let's Simplify $\frac{140}{525}$

• Find the Greatest Common Divisor (GCD) of $140$ and $525$. The GCD of $140$ and $525$ is $35$.
• Divide both the numerator and the denominator by the GCD:$\frac{140 \div 35}{525 \div 35} = \frac{4}{15}$

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

The following animation demonstrates the divide-by,