Question

1. jackson played a video game for \\(\frac{1}{6}\\) hour hailey played a video game for \\(\frac{1}{3}\\) hour. who played the video game for a greater amount of time? explain.

Explanation:

Step1: Find common denominator

To compare $\frac{1}{6}$ and $\frac{1}{3}$, use denominator 6.

Step2: Rewrite fractions

$\frac{1}{3} = \frac{1\times2}{3\times2} = \frac{2}{6}$

Step3: Compare the fractions

$\frac{2}{6} > \frac{1}{6}$, so $\frac{1}{3} > \frac{1}{6}$

Answer:

Hailey played the video game for a greater amount of time. When we rewrite the fractions with a common denominator, $\frac{1}{3}$ is equivalent to $\frac{2}{6}$, which is larger than $\frac{1}{6}$.