Consider the following sums of fractions: A is 16 by 19 plus 1 by 4, B is 11 by 14 plus 1 by 5, and C is 19 by 21 plus 1 by 3. Choose the correct ascending order of these sums.

AA < B < C

BB < A < C ✓ Correct

CA < C < B

DC < A < B

Correct answer: (B) B < A < C

Explanation

The ascending order is B < A < C.

A = 16/19 + 1/4 = 0.842 + 0.25 = 1.092.

B = 11/14 + 1/5 = 0.786 + 0.2 = 0.986.

C = 19/21 + 1/3 = 0.905 + 0.333 = 1.238.

Ordering the decimals gives 0.986 < 1.092 < 1.238.

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