Simplify the following:
7+1/8+8+1/2+6+1/4+2+1/8
Put 7+1/8+8+1/2+6+1/4+2+1/8 over the common denominator 8. 7+1/8+8+1/2+6+1/4+2+1/8 = (8×7)/8+1/8+(8×8)/8+4/8+(8×6)/8+2/8+(8×2)/8+1/8:
(8×7)/8+1/8+(8×8)/8+4/8+(8×6)/8+2/8+(8×2)/8+1/8
8×7 = 56:
56/8+1/8+(8×8)/8+4/8+(8×6)/8+2/8+(8×2)/8+1/8
8×8 = 64:
56/8+1/8+64/8+4/8+(8×6)/8+2/8+(8×2)/8+1/8
8×6 = 48:
56/8+1/8+64/8+4/8+48/8+2/8+(8×2)/8+1/8
8×2 = 16:
56/8+1/8+64/8+4/8+48/8+2/8+16/8+1/8
56/8+1/8+64/8+4/8+48/8+2/8+16/8+1/8 = (56+1+64+4+48+2+16+1)/8:
(56+1+64+4+48+2+16+1)/8
| 3 |
| 6 | 4
| 5 | 6
| 4 | 8
| 1 | 6
| | 4
| | 2
| | 1
+ | | 1
1 | 9 | 2:
192/8
The gcd of 192 and 8 is 8, so 192/8 = (8×24)/(8×1) = 8/8×24 = 24:
Answer: | 24
Simplify the following:
7+1/8+8+1/2+6+1/4+2+1/8
Put 7+1/8+8+1/2+6+1/4+2+1/8 over the common denominator 8. 7+1/8+8+1/2+6+1/4+2+1/8 = (8×7)/8+1/8+(8×8)/8+4/8+(8×6)/8+2/8+(8×2)/8+1/8:
(8×7)/8+1/8+(8×8)/8+4/8+(8×6)/8+2/8+(8×2)/8+1/8
8×7 = 56:
56/8+1/8+(8×8)/8+4/8+(8×6)/8+2/8+(8×2)/8+1/8
8×8 = 64:
56/8+1/8+64/8+4/8+(8×6)/8+2/8+(8×2)/8+1/8
8×6 = 48:
56/8+1/8+64/8+4/8+48/8+2/8+(8×2)/8+1/8
8×2 = 16:
56/8+1/8+64/8+4/8+48/8+2/8+16/8+1/8
56/8+1/8+64/8+4/8+48/8+2/8+16/8+1/8 = (56+1+64+4+48+2+16+1)/8:
(56+1+64+4+48+2+16+1)/8
| 3 |
| 6 | 4
| 5 | 6
| 4 | 8
| 1 | 6
| | 4
| | 2
| | 1
+ | | 1
1 | 9 | 2:
192/8
The gcd of 192 and 8 is 8, so 192/8 = (8×24)/(8×1) = 8/8×24 = 24:
Answer: | 24