What is 42/81 Divided By 5/9

Solving $\frac{42}{81}\div\frac{5}{9}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{42}{81} \div \frac{5}{9} = \frac{42}{81} \times \frac{9}{5}$

• Multiply the Numerators: $42 \times 9 = 378$
• Multiply the Denominators: $81 \times 5 = 405$
• Form the New Fraction: $\frac{42}{81} \times \frac{5}{9} = \frac{378}{405}$

Let's Simplify $\frac{378}{405}$

• Find the Greatest Common Divisor (GCD) of $378$ and $405$. The GCD of $378$ and $405$ is $27$.
• Divide both the numerator and the denominator by the GCD:$\frac{378 \div 27}{405 \div 27} = \frac{14}{15}$

Answer $\frac{42}{81}\div\frac{5}{9} = \frac{14}{15}$

The following animation demonstrates the divide-by,