What is 75/89 Divided By 3/5

Solving $\frac{75}{89}\div\frac{3}{5}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{75}{89} \div \frac{3}{5} = \frac{75}{89} \times \frac{5}{3}$

• Multiply the Numerators: $75 \times 5 = 375$
• Multiply the Denominators: $89 \times 3 = 267$
• Form the New Fraction: $\frac{75}{89} \times \frac{3}{5} = \frac{375}{267}$

Let's Simplify $\frac{375}{267}$

• Find the Greatest Common Divisor (GCD) of $375$ and $267$. The GCD of $375$ and $267$ is $3$.
• Divide both the numerator and the denominator by the GCD:$\frac{375 \div 3}{267 \div 3} = \frac{125}{89}$

Answer $\frac{75}{89}\div\frac{3}{5} = \frac{125}{89}$

The following animation demonstrates the divide-by,