Question

Bentley eats 2\3 of a small candy bar if one serving is 3 1\3 candy bar how many serving did Bentley eat??

Answer 1

To find out how many servings Bentley ate, we first need to determine how much one serving of the candy bar is in a fraction format.

One serving is given as \( 3 \frac{1}{3} \) candy bars, which can be converted to an improper fraction:

\[
3 \frac{1}{3} = 3 + \frac{1}{3} = \frac{9}{3} + \frac{1}{3} = \frac{10}{3}
\]

Now, Bentley eats \( \frac{2}{3} \) of a small candy bar. To find out how many servings this represents, we divide the amount Bentley ate by the amount of one serving:

\[
\text{Number of servings} = \frac{\text{Amount Bentley ate}}{\text{Amount per serving}} = \frac{\frac{2}{3}}{\frac{10}{3}}
\]

To divide fractions, we multiply by the reciprocal of the divisor:

\[
\frac{\frac{2}{3}}{\frac{10}{3}} = \frac{2}{3} \times \frac{3}{10}
\]

The \(3\)s cancel out:

\[
= \frac{2 \times 1}{1 \times 10} = \frac{2}{10} = \frac{1}{5}
\]

So, Bentley ate \(\frac{1}{5}\) of a serving of candy bar.