To find the total number of cans of beans Shawna used, we need to add the amount of black beans to the amount of pinto beans.
Shawna used:
- \( \frac{1}{5} \) of a can of black beans
- \( 3 \frac{1}{5} \) cans of pinto beans
First, let's convert \( 3 \frac{1}{5} \) into an improper fraction: \[ 3 \frac{1}{5} = \frac{3 \times 5 + 1}{5} = \frac{15 + 1}{5} = \frac{16}{5} \]
Now, we can add the amounts of beans: \[ \frac{1}{5} + \frac{16}{5} = \frac{1 + 16}{5} = \frac{17}{5} \]
To convert \( \frac{17}{5} \) into a mixed number, we can divide 17 by 5: \[ 17 \div 5 = 3 \quad \text{with a remainder of } 2 \] Thus, \( \frac{17}{5} \) can be expressed as: \[ 3 \frac{2}{5} \]
Therefore, the total number of cans of beans Shawna used is: \[ \frac{17}{5} \text{ or } 3 \frac{2}{5} \]
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