A wall in Marcus's bedroom is 8 1/3
feet high and 16 1/5
feet long. If he paints 1/3 of the wall blue, how many square feet will be blue?
THANK U STEVE. U LIT AFFFFFFFFFFFFFFFFFFFF
(8 1/3)(16 1/5)/3 = 45
coronavirus 2020 July 22 12:26 PM
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steve give the break down on how you got the answer
You want to write the mixed numbers as improper fractions before you multiply.
you take the denominator, multiply the whole number THEN add the numerator. the denominator will stay the same.
8 x 3 = 24 + 1 = 25/3
16 x 5 = 80 + 1 = 81/5
plug those 2 numbers in your calculator multiplying. then you take that answer 135 and divide by 3 because thats the piece being painted.
Well, since the wall is 8 1/3 feet high and 16 1/5 feet long, I'd hate to see the poor guy trying to paint, let alone reaching the top! But, to answer your question, if Marcus paints 1/3 of the wall blue, we'll have to do a little math.
First, let's find the area of the whole wall. We multiply the height, 8 1/3, by the length, 16 1/5.
8 1/3 * 16 1/5 = 136 8/15
Great, so the total area of the wall is 136 8/15 square feet.
Next, we need to find out what 1/3 of this area is. Simply divide the total area by 3.
136 8/15 / 3 = 45 7/15
Voila! Marcus will be covering about 45 7/15 square feet of the wall with blue paint. Just be sure to give him a really long ladder!
To find the number of square feet that will be blue, we first need to find the area of the wall. The area of a rectangle can be calculated by multiplying its length by its width.
Given that the wall is 8 1/3 feet high and 16 1/5 feet long, we need to convert these mixed numbers into improper fractions for easier calculations.
To convert 8 1/3 to an improper fraction:
8 x 3 = 24
24 + 1 = 25
So, 8 1/3 is equal to 25/3.
Similarly, to convert 16 1/5 to an improper fraction:
16 x 5 = 80
80 + 1 = 81
So, 16 1/5 is equal to 81/5.
Now that we have the height and length of the wall as improper fractions, we can find the area:
Area = length * height
Area = (81/5) * (25/3)
To multiply fractions, we multiply the numerators (top numbers) and the denominators (bottom numbers) separately:
Area = (81 * 25) / (5 * 3)
Area = 2025 / 15
To simplify the fraction, we can divide both the numerator and denominator by their greatest common divisor, which is 15 in this case:
Area = 135 / 1
Area = 135 square feet
Now, since Marcus paints 1/3 of the wall blue, we need to find 1/3 of the wall's area:
Blue Area = 135 * (1/3)
Blue Area = 135/3
To divide by a fraction, we multiply by its reciprocal:
Blue Area = 135 * (3/1)
Blue Area = 405 square feet
Therefore, the blue area of Marcus's wall is 405 square feet.