What is 19/53 Divided By 3/2

Solving $\frac{19}{53}\div\frac{3}{2}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{19}{53} \div \frac{3}{2} = \frac{19}{53} \times \frac{2}{3}$

• Multiply the Numerators: $19 \times 2 = 38$
• Multiply the Denominators: $53 \times 3 = 159$
• Form the New Fraction: $\frac{19}{53} \times \frac{3}{2} = \frac{38}{159}$

Simplify - Since $\frac{38}{159}$​ is already in its simplest form (there are no common factors between $38$ and $159$ other than $1$), this is the final answer.

Answer $\frac{19}{53}\div\frac{3}{2} = \frac{38}{159}$

The following animation demonstrates the divide-by,