Question 44267: Can someone help me on this problem?
I need to perform the indicated operations on:
6 2/9 + 1 3/4 - 3 5/6
Thanks,
Lyn Found 2 solutions by fractalier, Earlsdon:Answer by fractalier(6550) (Show Source):
You can put this solution on YOUR website! Combining fractions with unlike denominators requires changing them into common, like denominators first...the lowest common denominator here is 36...so we have
6 2/9 + 1 3/4 - 3 5/6 =
6 8/36 + 1 27/36 - 3 30/36 =
7 35/36 - 3 30/36 =
4 5/36
You can put this solution on YOUR website! Here's one way to approach this problem.
1) You can convert the given mixed numbers to improper fractions, find their common denominator, then perform the indicated operations.
6 2/9 = 56/9
1 3/4 = 7/4
3 5/6 = 23/6
Now you need to find the common denominator of 9, 4, and 6.
What number will 9, 4, and 6 go into?
Answer: 36
Now convert the improper fractions to 36ths.
56/9 = 224/36 (You multiplied top and bottom by 4)
7/4 = 63/36 (You multiplied top and bottom by 9)
23/6 = 138/36 (You multiplied top and bottom by 6)
Now perform the indicated operations.
224/36 + 63/36 - 138/36 = 287/36 - 138/36 = 149/36 Now simplify this.
149/36 = 4 5/36
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