Question

Neil has 3 partially full cans of white paint. They contain 1/3 gallon 1/5 gallon and 1/2 gallon of paint. About how much paint does Neil have in all

Answer 1

Change the denominators to be all the same. So the fractions would be, 10/30, 6/30, and 15/30. Add the top part of the dividend together to make one big fraction. The whole thing together would be 31/30. Simplify the fraction to make, 1 and 1/30

Answer 2

The total amount of paint Neil has is required.

Neil has a total of $1\dfrac{1}{30}\ \text{gallons}$ of paint.

Amount of paint in can 1 = $\dfrac{1}{3}\ \text{gallon}$

Amount of paint in can 2 = $\dfrac{1}{5}\ \text{gallon}$

Amount of paint in can 3 = $\dfrac{1}{2}\ \text{gallon}$

Total amount of paint

$\dfrac{1}{3}+\dfrac{1}{5}+\dfrac{1}{2}$

The LCM of the denominators is 30.

$\dfrac{10+6+15}{30}\\ =\dfrac{31}{30}=1\dfrac{1}{30}$

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