Answer:
793677375/8 or 9.9209671875 × 10^7
Step-by-step explanation:
Simplify the following:
45 (858×2569 + 458 - 35/56)
The gcd of -35 and 56 is 7, so (-35)/56 = (7 (-5))/(7×8) = 7/7×(-5)/8 = (-5)/8:
45 (858×2569 + 458 + (-5)/8)
| | | 2 | 5 | 6 | 9
× | | | | 8 | 5 | 8
| | 2 | 0 | 5 | 5 | 2
| 1 | 2 | 8 | 4 | 5 | 0
2 | 0 | 5 | 5 | 2 | 0 | 0
2 | 2 | 0 | 4 | 2 | 0 | 2:
45 (2204202 + 458 - 5/8)
Put 2204202 + 458 - 5/8 over the common denominator 8. 2204202 + 458 - 5/8 = (8×2204202)/8 + (8×458)/8 - 5/8:
45 (8×2204202)/8 + (8×458)/8 - 5/8
8×2204202 = 17633616:
45 (17633616/8 + (8×458)/8 - 5/8)
8×458 = 3664:
45 (17633616/8 + 3664/8 - 5/8)
17633616/8 + 3664/8 - 5/8 = (17633616 + 3664 - 5)/8:
45 (17633616 + 3664 - 5)/8
| | | | | 1 | | 1 |
| 1 | 7 | 6 | 3 | 3 | 6 | 1 | 6
+ | | | | | 3 | 6 | 6 | 4
| 1 | 7 | 6 | 3 | 7 | 2 | 8 | 0:
45 (17637280 - 5)/8
| | | | | | | 7 | 10
| 1 | 7 | 6 | 3 | 7 | 2 | 8 | 0
- | | | | | | | | 5
| 1 | 7 | 6 | 3 | 7 | 2 | 7 | 5:
45×17637275/8
45×17637275/8 = (45×17637275)/8:
(45×17637275)/8
| 1 | 7 | 6 | 3 | 7 | 2 | 7 | 5
× | | | | | | | 4 | 5
| 8 | 8 | 1 | 8 | 6 | 3 | 7 | 5
7 | 0 | 5 | 4 | 9 | 1 | 0 | 0 | 0
7 | 9 | 3 | 6 | 7 | 7 | 3 | 7 | 5:
Answer: 793677375/8
