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A painter used 3/8 gallon of paint for one job and 1/3 gallon for another job

How many gallons of paint job did the painter use for both jobs?

2 Answers

3 votes
To find how much he used for both jobs, you should add the quantity used in the first job to the quantity used in the second job.
In the first job, he used 3/8 gallon, and for the second he used 1/3.
So w get the equation 3/8 + 1/3.
To add 2 fractions, they should have the same denominator.
So you multiply both numerator and denominator of the first fraction by the denominator of the second fraction 3, and you multiply both numerator and denominator of the second fraction by the denominator of the first fraction 8.
3*3/8*3 + 1*8/3*8 = 9/24 + 8/24 = 17/24.

So the painter used 17/24 gallon of paint for both jobs.

Hope this Helps! :)
User T Q
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7.1k points
5 votes
to do this problem, start by finding a common denominator between the two.
A common denominator for this case would be 24, because both 3 and 8 go into 24:
3/8 = 9/24 and 1/3 = 8/24
now, because we have a common denominator, we can simply add the fractions:
9/24 + 8/24 = 17/24
So, the painter used 17/24 gallons of paint for both jobs
User Chupvl
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7.5k points