What is 34/35 Divided By 5/8

Solving $\frac{34}{35}\div\frac{5}{8}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{34}{35} \div \frac{5}{8} = \frac{34}{35} \times \frac{8}{5}$

• Multiply the Numerators: $34 \times 8 = 272$
• Multiply the Denominators: $35 \times 5 = 175$
• Form the New Fraction: $\frac{34}{35} \times \frac{5}{8} = \frac{272}{175}$

Simplify - Since $\frac{272}{175}$​ is already in its simplest form (there are no common factors between $272$ and $175$ other than $1$), this is the final answer.

Answer $\frac{34}{35}\div\frac{5}{8} = \frac{272}{175}$

The following animation demonstrates the divide-by,