What is 74/54 Divided By 5/2

Solving $\frac{74}{54}\div\frac{5}{2}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{74}{54} \div \frac{5}{2} = \frac{74}{54} \times \frac{2}{5}$

• Multiply the Numerators: $74 \times 2 = 148$
• Multiply the Denominators: $54 \times 5 = 270$
• Form the New Fraction: $\frac{74}{54} \times \frac{5}{2} = \frac{148}{270}$

Let's Simplify $\frac{148}{270}$

• Find the Greatest Common Divisor (GCD) of $148$ and $270$. The GCD of $148$ and $270$ is $2$.
• Divide both the numerator and the denominator by the GCD:$\frac{148 \div 2}{270 \div 2} = \frac{74}{135}$

Answer $\frac{74}{54}\div\frac{5}{2} = \frac{74}{135}$

The following animation demonstrates the divide-by,