An area model has 2 shaded parts and 1 unshaded part. The shaded parts are labeled two-thirds.

Question

Two hikers stopped for a snack. They shared 2
3
of a pound of trail mix. If the hikers shared the trail mix equally, how much trail mix did each hiker get?

Each hiker got
pound of trail mix.

Answer 1

To find out how much trail mix each hiker got, you can divide the total amount of trail mix shared between the two hikers.

The total amount of trail mix shared is \( \frac{2}{3} \) of a pound.

To find out how much each hiker gets, divide \( \frac{2}{3} \) by 2:

\[ \frac{2}{3} \div 2 = \frac{2}{3} \times \frac{1}{2} = \frac{2 \times 1}{3 \times 2} = \frac{2}{6} = \frac{1}{3} \]

So, each hiker got \( \frac{1}{3} \) of a pound of trail mix.