Mike and Dena are painting a fence. if Mike has done 1/3 of the job and Dena has done 2/7 of the job, what fraction of the job i s left to be finished?
1 answer:
Answer:
8/21
Step-by-step explanation:
The total job is 1
Mike has done 1/3 and Dena has done 2/7 of the job We still need to do x of the job to complete it
1/3 + 2/7+ x = 1
We need to get a common denominator 3*7 = 21
Multiply each side by 21
21(1/3 + 2/7+ x) = 1*21
21(1/3) + 21*(2/7)+ 21x = 21
7+ 3*2 +21x =21
7+6+21x = 21
13+21x = 21
Subtract 13 from each side
13-13+21x=21-13
21x = 8
Divide each side by 21
21x/21 = 8/21
x = 8/21
We need to complete 8/21 of the job
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