Simplify the following:
2+7/12+1+3/7-1/8
Put 2+7/12+1+3/7-1/8 over the common denominator 168. 2+7/12+1+3/7-1/8 = (168×2)/168+(14×7)/168+168/168+(24×3)/168-(21)/168:
(168×2)/168+(14×7)/168+168/168+(24×3)/168-(21)/168
168×2 = 336:
336/168+(14×7)/168+168/168+(24×3)/168-(21)/168
14×7 = 98:
336/168+98/168+168/168+(24×3)/168-(21)/168
24×3 = 72:
336/168+98/168+168/168+72/168-(21)/168
336/168+98/168+168/168+72/168-(21)/168 = (336+98+168+72-21)/168:
(336+98+168+72-21)/168
| 2 | 2 |
| 3 | 3 | 6
| 1 | 6 | 8
| | 9 | 8
+ | | 7 | 2
| 6 | 7 | 4:
674-21/168
| 6 | 7 | 4
- | | 2 | 1
| 6 | 5 | 3:
Answer: | 653/168=3 149/168
