What is 38/45 Divided By 9/2

Solving $\frac{38}{45}\div\frac{9}{2}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{38}{45} \div \frac{9}{2} = \frac{38}{45} \times \frac{2}{9}$

• Multiply the Numerators: $38 \times 2 = 76$
• Multiply the Denominators: $45 \times 9 = 405$
• Form the New Fraction: $\frac{38}{45} \times \frac{9}{2} = \frac{76}{405}$

Simplify - Since $\frac{76}{405}$​ is already in its simplest form (there are no common factors between $76$ and $405$ other than $1$), this is the final answer.

Answer $\frac{38}{45}\div\frac{9}{2} = \frac{76}{405}$

The following animation demonstrates the divide-by,