What is 75/83 Divided By 2/3

Solving $\frac{75}{83}\div\frac{2}{3}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{75}{83} \div \frac{2}{3} = \frac{75}{83} \times \frac{3}{2}$

• Multiply the Numerators: $75 \times 3 = 225$
• Multiply the Denominators: $83 \times 2 = 166$
• Form the New Fraction: $\frac{75}{83} \times \frac{2}{3} = \frac{225}{166}$

Simplify - Since $\frac{225}{166}$​ is already in its simplest form (there are no common factors between $225$ and $166$ other than $1$), this is the final answer.

Answer $\frac{75}{83}\div\frac{2}{3} = \frac{225}{166}$

The following animation demonstrates the divide-by,