Question

2 3\4-(1 1\2)+(-5\6)-(-3\8)-4 2\3

Answer 1

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Answer 2

2 3/4 -5 1/2 -5/6 +3/8 -4 2/3= -9 (18-12-20+9+24)/24=-10 5/24

Answer 3

To perform the calculation, let's convert all the mixed numbers to improper fractions:

2 3/4 = (4 * 2 + 3) / 4 = 11/4 1 1/2 = (2 * 1 + 1) / 2 = 3/2 4 2/3 = (3 * 4 + 2) / 3 = 14/3

Now we can substitute the values and simplify the expression:

11/4 - 3/2 + (-5/6) - (-3/8) - 14/3

To simplify further, we need to find a common denominator for all the fractions. The least common multiple (LCM) of 4, 2, 6, and 3 is 12.

11/4 = (11/4) * (3/3) = 33/12 3/2 = (3/2) * (6/6) = 18/12 -5/6 remains as it is -(-3/8) = 3/8 14/3 = (14/3) * (4/4) = 56/12

Now we can rewrite the expression:

33/12 - 18/12 + (-5/6) + 3/8 - 56/12

Combining the fractions:

(33 - 18 - 56)/12 + (-5/6) + 3/8

Simplifying the numerator:

-41/12 + (-5/6) + 3/8

To add fractions, we need a common denominator. The LCM of 12, 6, and 8 is 24.

-41/12 = (-41/12) * (2/2) = -82/24 -5/6 = (-5/6) * (4/4) = -20/24 3/8 remains as it is

Now we can rewrite the expression:

-82/24 - 20/24 + 3/8

Combining the fractions:

(-82 - 20 + 9)/24

Simplifying the numerator:

-93/24

Therefore, the result of the expression 2 3/4 - (1 1/2) + (-5/6) - (-3/8) - 4 2/3 is -93/24.