What is 7 9/46+ (-23 3/23)?

Simplify the following:
7+9/46-(23+3/23)

Put 23+3/23 over the common denominator 23. 23+3/23 = (23×23)/23+3/23:
7+9/46-(23×23)/23+3/23
7+9/46-(529/23+3/23)

529/23+3/23 = (529+3)/23:
7+9/46-(529+3)/23
7+9/46-532/23

Put 7+9/46-532/23 over the common denominator 46. 7+9/46-532/23 = (46×7)/46+9/46+(2 (-532))/46:
(46×7)/46+9/46+(2 (-532))/46

46×7 = 322:
322/46+9/46+(2 (-532))/46

2 (-532) = -1064:
322/46+9/46+-1064/46

322/46+9/46-(1064)/46 = (322+9-1064)/46:
(322+9-1064)/46
331-1064/46

331-1064 = -(1064-331):
Answer: |(-733)/46

What is 7 9/46+ (-23 3/23)?

\(\frac{79}{46}+23\frac{3}{23} \) = \(\frac{79+ 23\times 46+3\times 2}{46} \) = \(\frac{1143}{46} \) = \(24\frac{39}{46} \) 

THE CORRECT ANSWER IS: -733/46 = -15 43/46