What is 38/53 Divided By 3/2

Solving $\frac{38}{53}\div\frac{3}{2}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{38}{53} \div \frac{3}{2} = \frac{38}{53} \times \frac{2}{3}$

• Multiply the Numerators: $38 \times 2 = 76$
• Multiply the Denominators: $53 \times 3 = 159$
• Form the New Fraction: $\frac{38}{53} \times \frac{3}{2} = \frac{76}{159}$

Simplify - Since $\frac{76}{159}$​ is already in its simplest form (there are no common factors between $76$ and $159$ other than $1$), this is the final answer.

Answer $\frac{38}{53}\div\frac{3}{2} = \frac{76}{159}$

The following animation demonstrates the divide-by,