What is 74/27 Divided By 3/2

Solving $\frac{74}{27}\div\frac{3}{2}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{74}{27} \div \frac{3}{2} = \frac{74}{27} \times \frac{2}{3}$

• Multiply the Numerators: $74 \times 2 = 148$
• Multiply the Denominators: $27 \times 3 = 81$
• Form the New Fraction: $\frac{74}{27} \times \frac{3}{2} = \frac{148}{81}$

Simplify - Since $\frac{148}{81}$​ is already in its simplest form (there are no common factors between $148$ and $81$ other than $1$), this is the final answer.

Answer $\frac{74}{27}\div\frac{3}{2} = \frac{148}{81}$

The following animation demonstrates the divide-by,