Xavier mixes \( 2 \frac{4}{5} \) buckets of coarse sand with \( 1 \frac{1}{5} \) buckets of cement to make a special type of concrete. How many buckets of concrete will he make?
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To find out how many buckets of concrete Xavier will make, we need to add the amounts of coarse sand and cement together. First, we can convert the mixed numbers into improper fractions: \[ 2 \frac{4}{5} = \frac{2 \times 5 + 4}{5} = \frac{10 + 4}{5} = \frac{14}{5} \] \[ 1 \frac{1}{5} = \frac{1 \times 5 + 1}{5} = \frac{5 + 1}{5} = \frac{6}{5} \] Now, we can add the two improper fractions: \[ \frac{14}{5} + \frac{6}{5} = \frac{14 + 6}{5} = \frac{20}{5} = 4 \] Thus, Xavier will make a total of \(4\) buckets of concrete.
