What is 74/75 Divided By 5/2

Solving $\frac{74}{75}\div\frac{5}{2}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{74}{75} \div \frac{5}{2} = \frac{74}{75} \times \frac{2}{5}$

• Multiply the Numerators: $74 \times 2 = 148$
• Multiply the Denominators: $75 \times 5 = 375$
• Form the New Fraction: $\frac{74}{75} \times \frac{5}{2} = \frac{148}{375}$

Simplify - Since $\frac{148}{375}$​ is already in its simplest form (there are no common factors between $148$ and $375$ other than $1$), this is the final answer.

Answer $\frac{74}{75}\div\frac{5}{2} = \frac{148}{375}$

The following animation demonstrates the divide-by,