(4) Neil has 3 partially full cans of white paint. They contain \( \frac{1}{3} \) gallon, \( \frac{1}{5} \) and \( \frac{1}{2} \) gallon of paint. About how much paint does Neil have in all?
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To find out how much paint Neil has in total, we need to add the quantities of paint in each can together. First, we convert each fraction to a common denominator— in this case, the least common denominator (LCD) of 3, 5, and 2 is 30. So let's express each fraction with a denominator of 30: - \( \frac{1}{3} = \frac{10}{30} \) - \( \frac{1}{5} = \frac{6}{30} \) - \( \frac{1}{2} = \frac{15}{30} \) Now we can add these fractions: \[ \frac{10}{30} + \frac{6}{30} + \frac{15}{30} = \frac{31}{30} \] This simplifies to \( 1\frac{1}{30} \) gallons. Thus, Neil has approximately 1.03 gallons of paint in total.
