Question - Multiplying a Whole Number by a Mixed Fraction

Solution:

Convert the mixed number to an improper fraction:

$$3 \frac{1}{5} = \frac{5 \times 3 + 1}{5} = \frac{16}{5}$$

Multiply the whole number by the improper fraction:

$$18 \times \frac{16}{5} = \frac{18 \times 16}{5}$$

Simplify the multiplication:

$$\frac{18 \times 16}{5} = \frac{288}{5}$$

Convert the improper fraction to a mixed number:

$$\frac{288}{5} = 57 \frac{3}{5}$$

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