1.1 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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Bonus Knowledge
To find the total amount of concrete Xavier will make, we need to add the two quantities of materials together. First, let’s convert the mixed numbers to improper fractions: For the coarse sand: \[ 2 \frac{4}{5} = \frac{2 \times 5 + 4}{5} = \frac{10 + 4}{5} = \frac{14}{5} \] For the cement: \[ 1 \frac{1}{5} = \frac{1 \times 5 + 1}{5} = \frac{5 + 1}{5} = \frac{6}{5} \] Now we add these two fractions together: \[ \frac{14}{5} + \frac{6}{5} = \frac{14 + 6}{5} = \frac{20}{5} = 4 \] So, Xavier will make 4 buckets of concrete.
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