What is 57/81 Divided By 5/9

Solving $\frac{57}{81}\div\frac{5}{9}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{57}{81} \div \frac{5}{9} = \frac{57}{81} \times \frac{9}{5}$

• Multiply the Numerators: $57 \times 9 = 513$
• Multiply the Denominators: $81 \times 5 = 405$
• Form the New Fraction: $\frac{57}{81} \times \frac{5}{9} = \frac{513}{405}$

Let's Simplify $\frac{513}{405}$

• Find the Greatest Common Divisor (GCD) of $513$ and $405$. The GCD of $513$ and $405$ is $27$.
• Divide both the numerator and the denominator by the GCD:$\frac{513 \div 27}{405 \div 27} = \frac{19}{15}$

Answer $\frac{57}{81}\div\frac{5}{9} = \frac{19}{15}$

The following animation demonstrates the divide-by,