What is 83/75 Divided By 9/8

Solving $\frac{83}{75}\div\frac{9}{8}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{83}{75} \div \frac{9}{8} = \frac{83}{75} \times \frac{8}{9}$

• Multiply the Numerators: $83 \times 8 = 664$
• Multiply the Denominators: $75 \times 9 = 675$
• Form the New Fraction: $\frac{83}{75} \times \frac{9}{8} = \frac{664}{675}$

Simplify - Since $\frac{664}{675}$​ is already in its simplest form (there are no common factors between $664$ and $675$ other than $1$), this is the final answer.

Answer $\frac{83}{75}\div\frac{9}{8} = \frac{664}{675}$

The following animation demonstrates the divide-by,