12. during a trip, martha drove \\(\\frac{1}{6}\\) of the time, chris drove \\(\\frac{1}{4}\\) of the time…
12. 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?
Answer
Explanation:
Step1: Find common denominator
The least common denominator of 6 and 4 is 12.
Step2: Convert fractions to 12 denominator
$\frac{1}{6} = \frac{2}{12}$, $\frac{1}{4} = \frac{3}{12}$
Step3: Sum Martha/Chris's fractions
$\frac{2}{12} + \frac{3}{12} = \frac{5}{12}$
Step4: Subtract from total (1 = $\frac{12}{12}$)
$\frac{12}{12} - \frac{5}{12} = \frac{7}{12}$
Answer:
$\frac{7}{12}$