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Sub 505 Level|   Algebra|      
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felippemed
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Which of the following is equivalent to (a + b)/2 + (a - b)/3? 26 Sep 2016, 18:13
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C
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82% (00:35) correct 18% (00:41) wrong based on 519 sessions

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Which of the following is equivalent to \(\frac{a+b}{2}+\frac{a-b}{3}\)?

(A) \(\frac{2a}{5}\)

(B) \(\frac{5a}{6}\)

(C) \(\frac{5a+b}{6}\)

(D) \(\frac{5a+2b}{6}\)

(E) \(\frac{5a-b}{6}\)

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C
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Which of the following is equivalent to (a + b)/2 + (a - b)/3? 27 Sep 2016, 04:59
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felippemed
Which of the following is equivalent to \(\frac{a+b}{2}+\frac{a-b}{3}\)?

a) \(\frac{2a}{5}\)

b) \(\frac{5a}{6}\)

c) \(\frac{5a+b}{6}\)

d) \(\frac{5a+2b}{6}\)

e) \(\frac{5a-b}{6}\)

Take LCM \(\frac{a+b}{2}+\frac{a-b}{3}\)

and we get \(\frac{5a+b}{6}\)..

I doubt such appear in the exam.
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Which of the following is equivalent to (a + b)/2 + (a - b)/3? 08 Mar 2017, 05:18
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Are you sure the OA is correct?
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Which of the following is equivalent to (a + b)/2 + (a - b)/3? 08 Mar 2017, 05:44
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schak
Which of the following is equivalent to \(\frac{a+b}{2}+\frac{a-b}{3}\)?

a) \(\frac{2a}{5}\)

b) \(\frac{5a}{6}\)

c) \(\frac{5a+b}{6}\)

d) \(\frac{5a+2b}{6}\)

e) \(\frac{5a-b}{6}\)

Are you sure the OA is correct?

Yes, it is.

\(\frac{a+b}{2}+\frac{a-b}{3}=\frac{3a+3b+2a-2b}{6}=\frac{5a+b}{6}\).

Answer: C.
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Which of the following is equivalent to (a + b)/2 + (a - b)/3? 08 Mar 2017, 08:24
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felippemed
Which of the following is equivalent to \(\frac{a+b}{2}+\frac{a-b}{3}\)?

a) \(\frac{2a}{5}\)

b) \(\frac{5a}{6}\)

c) \(\frac{5a+b}{6}\)

d) \(\frac{5a+2b}{6}\)

e) \(\frac{5a-b}{6}\)

\(\frac{a+b}{2}+\frac{a-b}{3}\)

\(= \frac{3a+3b+2a-2b}{6}\)

\(= \frac{5a+b}{6}\)

Thus, answer will be (C) \(\frac{5a+b}{6}\)
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Which of the following is equivalent to (a + b)/2 + (a - b)/3? 10 Mar 2017, 10:32
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felippemed
Which of the following is equivalent to \(\frac{a+b}{2}+\frac{a-b}{3}\)?

a) \(\frac{2a}{5}\)

b) \(\frac{5a}{6}\)

c) \(\frac{5a+b}{6}\)

d) \(\frac{5a+2b}{6}\)

e) \(\frac{5a-b}{6}\)


Let’s simplify the given expression:

(a + b)/2 + (a - b)/3

3(a + b)/6 + 2(a - b)/6

(3a + 3b)/6 + (2a - 2b)/6

(5a + b)/6

Answer: C
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Which of the following is equivalent to (a + b)/2 + (a - b)/3? 01 Jun 2025, 15:16
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