What is 53/61 Divided By 2/3

Solving $\frac{53}{61}\div\frac{2}{3}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{53}{61} \div \frac{2}{3} = \frac{53}{61} \times \frac{3}{2}$

• Multiply the Numerators: $53 \times 3 = 159$
• Multiply the Denominators: $61 \times 2 = 122$
• Form the New Fraction: $\frac{53}{61} \times \frac{2}{3} = \frac{159}{122}$

Simplify - Since $\frac{159}{122}$​ is already in its simplest form (there are no common factors between $159$ and $122$ other than $1$), this is the final answer.

Answer $\frac{53}{61}\div\frac{2}{3} = \frac{159}{122}$

The following animation demonstrates the divide-by,