What is 54/45 Divided By 4/5

Solving $\frac{54}{45}\div\frac{4}{5}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{54}{45} \div \frac{4}{5} = \frac{54}{45} \times \frac{5}{4}$

• Multiply the Numerators: $54 \times 5 = 270$
• Multiply the Denominators: $45 \times 4 = 180$
• Form the New Fraction: $\frac{54}{45} \times \frac{4}{5} = \frac{270}{180}$

Let's Simplify $\frac{270}{180}$

• Find the Greatest Common Divisor (GCD) of $270$ and $180$. The GCD of $270$ and $180$ is $90$.
• Divide both the numerator and the denominator by the GCD:$\frac{270 \div 90}{180 \div 90} = \frac{3}{2}$

Answer $\frac{54}{45}\div\frac{4}{5} = \frac{3}{2}$

The following animation demonstrates the divide-by,