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What is the result of the expression (6/11) + (2/3)?

a) 34/33
b) 40/33
c) 22/33
d) 36/33

1 Answer

7 votes

Final answer:

To calculate the expression (6/11) + (2/3), find a common denominator, rewrite each fraction, and add them. The result is 40/33.

Step-by-step explanation:

The result of the expression (6/11) + (2/3) can be found with the following steps:

  1. Find a common denominator. The least common multiple of 11 and 3 is 33.
  2. Rewrite each fraction with the common denominator:
    (6/11) becomes (18/33) because 6*(3/3)=18/33, and
    (2/3) becomes (22/33) because 2*(11/11)=22/33.
  3. Add the fractions: (18/33) + (22/33) equals (40/33).

Therefore, the correct answer is b) 40/33.

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