What is 75/28 Divided By 9/5

Solving $\frac{75}{28}\div\frac{9}{5}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{75}{28} \div \frac{9}{5} = \frac{75}{28} \times \frac{5}{9}$

• Multiply the Numerators: $75 \times 5 = 375$
• Multiply the Denominators: $28 \times 9 = 252$
• Form the New Fraction: $\frac{75}{28} \times \frac{9}{5} = \frac{375}{252}$

Let's Simplify $\frac{375}{252}$

• Find the Greatest Common Divisor (GCD) of $375$ and $252$. The GCD of $375$ and $252$ is $3$.
• Divide both the numerator and the denominator by the GCD:$\frac{375 \div 3}{252 \div 3} = \frac{125}{84}$

Answer $\frac{75}{28}\div\frac{9}{5} = \frac{125}{84}$

The following animation demonstrates the divide-by,