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A student solved this problem and said the answer is about 7 quarts. Eddie has paint left over from a project. He has 2 fraction numerator 1 star times text   end text over denominator 6 star times text   end text star times text   end text end fraction qt of white, 3 fraction numerator 1 star times text   end text over denominator 2 star times text   end text end fraction qt of green, and 1 fraction numerator 3 star times text   end text over denominator 4 star times text   end text end fraction qt of yellow left. What is the total amount of paint that Eddie has left over? Is the student's answer reasonable? A. Yes, the answer is reasonable. B. No, the answer is not reasonable. It should be about 5 quarts. C. No, the answer is not reasonable. It should be about 10 quarts. D. No, the answer is not reasonable. It should be about 8 quarts.

Respuesta :

the anwser would be C. trust me i just took this test

Given:
2 1/6 quarts of white
3 1/2 quarts of green
1 3/4 quarts of yellow

Add up all the fractions.
1) convert to improper fractions:
2 1/6 → (6*2) + 1 = 13/6
3 1/2 → (2*3) + 1 = 7/2
1 3/4 → (4*1) + 3 = 7/4

2) Identify LCD and multiply each fraction to reach the LCD. LCD is 12.
13/6 * 2/2 = 26/12
7/2 * 6/6 = 42/12
7/4 * 3/3 = 21/12

26/12 + 42/12 + 21/12 = (26+42+21) / 12 = 89/12 

89/12 must be converted into a mixed fraction  which will result to 7 5/12

A. Yes, the answer is reasonable.

89/12 or 7 5/12 is 7.42 in decimal form. It can be rounded down to the nearest whole number which is 7.
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