Question

2 3/4+1 1/2+(-5/6)-(-3/8)-4 2/3=

Answer 1

Ответ:-2.875

Пошаговое объяснение:

Answer 2

To solve this arithmetic expression, let's simplify the addition and subtraction of fractions step by step:

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

First, we'll convert all the mixed numbers to improper fractions:

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

Now, let's rewrite the expression:

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

Next, let's find the common denominator for all the fractions. The common denominator is 24:

11/4 = (11/4) * (6/6) = 66/24 3/2 = (3/2) * (12/12) = 36/24 (-5/6) remains the same (-3/8) remains the same 14/3 = (14/3) * (8/8) = 112/24

Now the expression becomes:

66/24 + 36/24 + (-5/6) - (-3/8) - 112/24

Next, let's simplify the addition and subtraction:

(66 + 36 - 5) / 24 + (3/8) - (112/24)

97/24 + 3/8 - 112/24

Now, let's find the common denominator again, which is 24:

97/24 + (3/8) * (3/3) - 112/24

97/24 + 9/24 - 112/24

Now, we can combine the numerators:

(97 + 9 - 112) / 24

-6/24

Finally, we can simplify the fraction:

-6/24 = (-6 ÷ 6) / (24 ÷ 6) = -1/4

Therefore, the simplified value of the expression 2 3/4 + 1 1/2 + (-5/6) - (-3/8) - 4 2/3 is -1/4.