What is 54/81 Divided By 3/5

Solving $\frac{54}{81}\div\frac{3}{5}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{54}{81} \div \frac{3}{5} = \frac{54}{81} \times \frac{5}{3}$

• Multiply the Numerators: $54 \times 5 = 270$
• Multiply the Denominators: $81 \times 3 = 243$
• Form the New Fraction: $\frac{54}{81} \times \frac{3}{5} = \frac{270}{243}$

Let's Simplify $\frac{270}{243}$

• Find the Greatest Common Divisor (GCD) of $270$ and $243$. The GCD of $270$ and $243$ is $27$.
• Divide both the numerator and the denominator by the GCD:$\frac{270 \div 27}{243 \div 27} = \frac{10}{9}$

Answer $\frac{54}{81}\div\frac{3}{5} = \frac{10}{9}$

The following animation demonstrates the divide-by,