A grocery store has 10 kilograms of granola. One customer buys 1 2/5 kilograms of granola. Another customer buys 3 4/5 kilograms. How much granola is left in the store?

Steps to Solve

1. Convert mixed numbers to improper fractions

The first customer buys $1 \frac{2}{5}$ kilograms. To convert this to an improper fraction:
$$ 1 \frac{2}{5} = \frac{1 \times 5 + 2}{5} = \frac{7}{5} $$

The second customer buys $3 \frac{4}{5}$ kilograms. Converting this gives:
$$ 3 \frac{4}{5} = \frac{3 \times 5 + 4}{5} = \frac{19}{5} $$

2. Find the total amount of granola bought

Now, we need to sum both amounts:
$$ \text{Total granola bought} = \frac{7}{5} + \frac{19}{5} = \frac{26}{5} $$

3. Convert the total granola bought to a mixed number

Convert the improper fraction $\frac{26}{5}$ back to a mixed number:
$$ \frac{26}{5} = 5 \frac{1}{5} $$

4. Calculate the remaining granola in the store

Now, subtract the total granola bought from the initial amount of granola:
$$ 10 - 5 \frac{1}{5} = 10 - 5.2 = 4.8 $$

5. Convert the remaining amount to a suitable fraction or decimal

The remaining granola can be expressed as $4.8$ kilograms or as the mixed number $4 \frac{4}{5}$ kilograms.