What is 75/81 Divided By 5/3

Solving $\frac{75}{81}\div\frac{5}{3}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{75}{81} \div \frac{5}{3} = \frac{75}{81} \times \frac{3}{5}$

• Multiply the Numerators: $75 \times 3 = 225$
• Multiply the Denominators: $81 \times 5 = 405$
• Form the New Fraction: $\frac{75}{81} \times \frac{5}{3} = \frac{225}{405}$

Let's Simplify $\frac{225}{405}$

• Find the Greatest Common Divisor (GCD) of $225$ and $405$. The GCD of $225$ and $405$ is $45$.
• Divide both the numerator and the denominator by the GCD:$\frac{225 \div 45}{405 \div 45} = \frac{5}{9}$

Answer $\frac{75}{81}\div\frac{5}{3} = \frac{5}{9}$

The following animation demonstrates the divide-by,