What is 83/35 Divided By 5/8

Solving $\frac{83}{35}\div\frac{5}{8}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{83}{35} \div \frac{5}{8} = \frac{83}{35} \times \frac{8}{5}$

• Multiply the Numerators: $83 \times 8 = 664$
• Multiply the Denominators: $35 \times 5 = 175$
• Form the New Fraction: $\frac{83}{35} \times \frac{5}{8} = \frac{664}{175}$

Simplify - Since $\frac{664}{175}$​ is already in its simplest form (there are no common factors between $664$ and $175$ other than $1$), this is the final answer.

Answer $\frac{83}{35}\div\frac{5}{8} = \frac{664}{175}$

The following animation demonstrates the divide-by,