Question

it takes bob \\(\frac{5}{8}\\) days to drive to his aunts house. he has now been driving for \\(\frac{3}{8}\\) days. for how much longer must he drive? write your answer as a fraction in simplest form. \\(\square\\) days

Explanation:

Step1: Identify the operation

To find out how much longer Bob must drive, we subtract the time he has already driven from the total time required. The total time is $\frac{5}{8}$ days and the time he has driven is $\frac{3}{8}$ days. So we use the subtraction operation: $\frac{5}{8} - \frac{3}{8}$.

Step2: Subtract the fractions

When subtracting fractions with the same denominator, we subtract the numerators and keep the denominator the same. So, $\frac{5 - 3}{8} = \frac{2}{8}$.

Step3: Simplify the fraction

We simplify $\frac{2}{8}$ by dividing both the numerator and the denominator by their greatest common divisor, which is 2. So, $\frac{2\div2}{8\div2} = \frac{1}{4}$.

Answer:

$\frac{1}{4}$