What is 75/83 Divided By 2/9

Solving $\frac{75}{83}\div\frac{2}{9}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{75}{83} \div \frac{2}{9} = \frac{75}{83} \times \frac{9}{2}$

• Multiply the Numerators: $75 \times 9 = 675$
• Multiply the Denominators: $83 \times 2 = 166$
• Form the New Fraction: $\frac{75}{83} \times \frac{2}{9} = \frac{675}{166}$

Simplify - Since $\frac{675}{166}$​ is already in its simplest form (there are no common factors between $675$ and $166$ other than $1$), this is the final answer.

Answer $\frac{75}{83}\div\frac{2}{9} = \frac{675}{166}$

The following animation demonstrates the divide-by,