Evaluate. 6 9/10 - (1 1/3 + 2 1/2)
Enter your answer in the box as a mixed number in simplest form.

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3 1/15

Step-by-step explanation:

6 + 9/10 - 3 - 5/6

6 - 3 = 3 (Subtract whole number first)

9/10 - 5/6

Find the LCD which is 30

27/30 - 25/30 = 2/30

Reduce (Simplest form) = 1/15

3 + 1/15 = 3 1/15

  3 1/15

Step-by-step explanation:

It can be convenient to use the formula for adding fractions:

  a/b +c/d = (ad +bc)/(bd)

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  6 9/10 -(1 1/3 +2 1/2)

  = 6 9/10 -((1 +2) +(1/3 +1/2)) = 6 9/10 -(3 +(2+3)/6) = 6 9/10 -3 5/6

  = (6 -3) +(9/10 -5/6) = 3 +(6·9 -10·5)/(10·6) = 3 4/60

  = 3 1/15 . . . . . . reduced to simplest form