Answered

Which of the following numbers could be used as a common denominator for adding the fractions 2/36 , - 4/35 , and 8/21 ?



(A)105

(B)63

(C)315

(D)7

Verified Answer :

If i am doing my calculations right the least common denominator is 7

Answer:

The common denominator for adding the fractions \(\frac{2}{36}\), \(-\frac{4}{35}\) and \(\frac{8}{21}\) is 1260.

Step-by-step explanation:

To find : Which of the following numbers could be used as a common denominator for adding the fractions \(\frac{2}{36}\), \(-\frac{4}{35}\) and \(\frac{8}{21}\) ?

Solution :

To find the common denominator we have to find the least common multiple of 36, 35 and 21

i.e. LCM of 36,35,21

2 | 36  35  21

2 | 18   35  21

3 | 9    35  21

3 | 3    35  7

7 | 1    35   7

5 | 1     5    1

  | 1     1     1

\(LCM(36,35,21)=2\times 2\times 3\times 3\times 5\times 7\)

\(LCM(36,35,21)=1260\)

The common denominator for adding the fractions \(\frac{2}{36}\), \(-\frac{4}{35}\) and \(\frac{8}{21}\) is 1260.

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