What is 53/57 Divided By 3/2

Solving $\frac{53}{57}\div\frac{3}{2}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{53}{57} \div \frac{3}{2} = \frac{53}{57} \times \frac{2}{3}$

• Multiply the Numerators: $53 \times 2 = 106$
• Multiply the Denominators: $57 \times 3 = 171$
• Form the New Fraction: $\frac{53}{57} \times \frac{3}{2} = \frac{106}{171}$

Simplify - Since $\frac{106}{171}$​ is already in its simplest form (there are no common factors between $106$ and $171$ other than $1$), this is the final answer.

Answer $\frac{53}{57}\div\frac{3}{2} = \frac{106}{171}$

The following animation demonstrates the divide-by,