What is 54/45 Divided By 9/5

Solving $\frac{54}{45}\div\frac{9}{5}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{54}{45} \div \frac{9}{5} = \frac{54}{45} \times \frac{5}{9}$

• Multiply the Numerators: $54 \times 5 = 270$
• Multiply the Denominators: $45 \times 9 = 405$
• Form the New Fraction: $\frac{54}{45} \times \frac{9}{5} = \frac{270}{405}$

Let's Simplify $\frac{270}{405}$

• Find the Greatest Common Divisor (GCD) of $270$ and $405$. The GCD of $270$ and $405$ is $135$.
• Divide both the numerator and the denominator by the GCD:$\frac{270 \div 135}{405 \div 135} = \frac{2}{3}$

Answer $\frac{54}{45}\div\frac{9}{5} = \frac{2}{3}$

The following animation demonstrates the divide-by,