Answer:

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Reformatting the input :

Changes made to your input should not affect the solution:

(1): "/-5" was replaced by "/(-5)".

Step by step solution :

Step  1  :

          5

Simplify   —

          6

Equation at the end of step  1  :

2    5

— +  — ÷ -5 ÷ 12

3    6

Step  2  :

       5      

Divide  —  by  -5

       6      

Equation at the end of step  2  :

2    -1

— +  —— ÷ 12

3    6

Step  3  :

       -1      

Divide  ——  by  12

       6      

Equation at the end of step  3  :

2    -1

— +  ——

3    72

Step  4  :

          2

Simplify   —

          3

Equation at the end of step  4  :

2    -1

— +  ——

3    72

Step  5  :

Calculating the Least Common Multiple :

5.1    Find the Least Common Multiple

    The left denominator is :       3

    The right denominator is :       72

      Number of times each prime factor

      appears in the factorization of:

Prime

Factor   Left

Denominator   Right

Denominator   L.C.M = Max

{Left,Right}

3 1 2 2

2 0 3 3

Product of all

Prime Factors  3 72 72

    Least Common Multiple:

    72

Calculating Multipliers :

5.2    Calculate multipliers for the two fractions

  Denote the Least Common Multiple by  L.C.M

  Denote the Left Multiplier by  Left_M

  Denote the Right Multiplier by  Right_M

  Denote the Left Deniminator by  L_Deno

  Denote the Right Multiplier by  R_Deno

 Left_M = L.C.M / L_Deno = 24

 Right_M = L.C.M / R_Deno = 1

Making Equivalent Fractions :

5.3      Rewrite the two fractions into equivalent fractions

Two fractions are called equivalent if they have the same numeric value.

For example :  1/2   and  2/4  are equivalent,  y/(y+1)2   and  (y2+y)/(y+1)3  are equivalent as well.

To calculate equivalent fraction , multiply the Numerator of each fraction, by its respective Multiplier.

 L. Mult. • L. Num.      2 • 24

 ——————————————————  =   ——————

       L.C.M               72  

 R. Mult. • R. Num.      -1

 ——————————————————  =   ——

       L.C.M             72

Adding fractions that have a common denominator :

5.4       Adding up the two equivalent fractions

Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

2 • 24 + -1     47

———————————  =  ——

   72          72

Final result :

47          

—— = 0.65278

72