What is 34/11 Divided By 5/8

Solving $\frac{34}{11}\div\frac{5}{8}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{34}{11} \div \frac{5}{8} = \frac{34}{11} \times \frac{8}{5}$

• Multiply the Numerators: $34 \times 8 = 272$
• Multiply the Denominators: $11 \times 5 = 55$
• Form the New Fraction: $\frac{34}{11} \times \frac{5}{8} = \frac{272}{55}$

Simplify - Since $\frac{272}{55}$​ is already in its simplest form (there are no common factors between $272$ and $55$ other than $1$), this is the final answer.

Answer $\frac{34}{11}\div\frac{5}{8} = \frac{272}{55}$

The following animation demonstrates the divide-by,