Question

1. during a trip, martha drove \\(\frac{1}{6}\\) of the time, chris drove \\(\frac{1}{4}\\) of the time, and juan drove the rest of the time. what fraction of the time did juan drive?

Explanation:

Step1: Find common denominator

The denominators are 6 and 4, least common denominator is 12.

Step2: Convert fractions to twelfths

$\frac{1}{6} = \frac{2}{12}$, $\frac{1}{4} = \frac{3}{12}$

Step3: Sum Martha and Chris's fractions

$\frac{2}{12} + \frac{3}{12} = \frac{5}{12}$

Step4: Subtract sum from 1 (total time)

$1 - \frac{5}{12} = \frac{12}{12} - \frac{5}{12} = \frac{7}{12}$

Answer:

$\frac{7}{12}$