What is 54/89 Divided By 3/5

Solving $\frac{54}{89}\div\frac{3}{5}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{54}{89} \div \frac{3}{5} = \frac{54}{89} \times \frac{5}{3}$

• Multiply the Numerators: $54 \times 5 = 270$
• Multiply the Denominators: $89 \times 3 = 267$
• Form the New Fraction: $\frac{54}{89} \times \frac{3}{5} = \frac{270}{267}$

Let's Simplify $\frac{270}{267}$

• Find the Greatest Common Divisor (GCD) of $270$ and $267$. The GCD of $270$ and $267$ is $3$.
• Divide both the numerator and the denominator by the GCD:$\frac{270 \div 3}{267 \div 3} = \frac{90}{89}$

Answer $\frac{54}{89}\div\frac{3}{5} = \frac{90}{89}$

The following animation demonstrates the divide-by,