Respuesta :

Start by finding the sum of (-8 3/4) and (-2 5/6).  Find the least common denominator (LCD).  12 is the first thing that both 4 and 6 will evenly divide into, so we convert both fractions to 12ths:

-8 3/4 = -8 9/12 (multiply 4 by 3 to get 12, so multiply the numerator, 3, by 3 as well)
-2 5/6 = -2 10/12 (multiply 6 by 2 to get 12, so multiply the numerator, 5, by 2 as well)
-8 9/12 + -2 10/12 = -10 19/12
We must convert the improper fraction.  12 goes into 19 1 time with 7 left over, so 19/12 = 1 7/12
This means that -10 19/12 = -11 7/12
The opposite of 1 1/5 is -1 1/5.  Add this to -11 7/12.  Again find the LCD; in this case it is 60.
-1 1/5 = -1 12/60
-11 7/12 = -11 35/60
Adding these two we get -12 47/60.
MrRoyal

The result of the sum of the three numbers is: [tex]\frac{-767}{60}[/tex]

The numbers are given as:

  • Number 1: 1 1/5
  • Number 2: -8 3/4
  • Number 3: -2 5/6

Start by calculating the sum of numbers 2 and 3 as follows:

[tex]Sum = -8\frac 34 -2\frac 56[/tex]

Express the numbers as improper fraction

[tex]Sum = -\frac{35}4 -\frac{17}6[/tex]

Take LCM

[tex]Sum = \frac{-3 \times 35 - 2 \times 17}{12}[/tex]

[tex]Sum = \frac{-139}{12}[/tex]

The opposite of number 1 is: -1 1/5

So, the overall sum is:

[tex]Sum = -1\frac 15 - \frac{139}{12}[/tex]

Express as improper fraction

[tex]Sum = -\frac 65 - \frac{139}{12}[/tex]

Take LCM

[tex]Sum = \frac{-72 - 695}{60}[/tex]

[tex]Sum = \frac{-767}{60}[/tex]

Hence, the result of the sum is: [tex]\frac{-767}{60}[/tex]

Read more about sum and addition at:

https://brainly.com/question/11562149

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