What is 75/53 Divided By 2/3

Solving $\frac{75}{53}\div\frac{2}{3}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{75}{53} \div \frac{2}{3} = \frac{75}{53} \times \frac{3}{2}$

• Multiply the Numerators: $75 \times 3 = 225$
• Multiply the Denominators: $53 \times 2 = 106$
• Form the New Fraction: $\frac{75}{53} \times \frac{2}{3} = \frac{225}{106}$

Simplify - Since $\frac{225}{106}$​ is already in its simplest form (there are no common factors between $225$ and $106$ other than $1$), this is the final answer.

Answer $\frac{75}{53}\div\frac{2}{3} = \frac{225}{106}$

The following animation demonstrates the divide-by,