Answer:
a) 1 1/2
b) 3/8
c) 2 11/12
d) 1/2
Explanation:
When one denominator is a multiple of the other, the least common denominator is the larger of the two. Expressing the fractions using the least common denominator can simplify the work a bit.
For adding and subtracting mixed numbers, I find it easiest to combine the integer parts and the fraction parts separately, then make an adjustment to the integer as may be required.
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a) 5/6 +4/6 = 9/6 = 1 3/6 = 1 1/2
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b) 7/8 -4/8 = 3/8
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c) 1 2/3 +1 1/4 = (1 + 1) + (8/12 + 3/12) = 2 11/12
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d) 2 1/3 - 1 5/6 = (2 -1) +(2/6 -5/6)
= 1 - 3/6 = 1 - 1/2 = 1/2