Question

what is \\(\frac{\frac{5}{8}}{1\frac{5}{8}}\\) as a fraction in simplest form? enter your answer in the box.

Explanation:

Step1: Convert mixed number to improper fraction

The denominator of the mixed number $1\frac{5}{8}$ is 8. Calculate: $1\frac{5}{8} = \frac{1\times8 + 5}{8} = \frac{13}{8}$

Step2: Rewrite division as multiplication by reciprocal

Dividing by a fraction is multiplying by its reciprocal: $\frac{\frac{5}{8}}{\frac{13}{8}} = \frac{5}{8} \times \frac{8}{13}$

Step3: Simplify and compute the product

Cancel the common factor 8: $\frac{5}{\cancel{8}} \times \frac{\cancel{8}}{13} = \frac{5}{13}$

Answer:

$\frac{5}{13}$