Victoria plans to repaint some classroom bookcases. She has 2 gallons of paint. All of the bookcases are the same size and each requires one eighth 8 1 gallon of paint. How many bookcases will she be able to paint?
Victoria will be able to paint 16 bookcases.
To find out how many bookcases Victoria can paint, we need to divide the total amount of paint she has (2 gallons) by the amount of paint needed for each bookcase (1/8 gallon).
To do this, we can set up a simple division equation:
2 gallons ÷ 1/8 gallon = ?
To simplify the division of fractions, we can multiply the numerator (2 gallons) by the reciprocal of the denominator (1/8 gallon):
2 gallons × 8/1 gallon = ?
Now we can multiply the numerators and denominators:
2 × 8 = 16
1 × 1 = 1
So, 2 gallons ÷ 1/8 gallon is equal to 16/1 or simply 16.
Therefore, Victoria will be able to paint 16 bookcases using the 2 gallons of paint she has.
To find out how many bookcases Victoria will be able to paint, we need to divide the total amount of paint she has (2 gallons) by the amount of paint required for each bookcase (1/8 gallon).
To divide fractions, we need to multiply the first fraction (2 gallons) by the reciprocal of the second fraction (1/8 gallon). The reciprocal of a fraction is obtained by swapping the numerator and denominator. Therefore, the reciprocal of 1/8 is 8/1.
Multiplying the fractions, we get:
2 gallons * 8/1 gallon = (2 * 8) / (1 * 1) = 16/1 = 16
So, Victoria will be able to paint 16 bookcases with her 2 gallons of paint.