Simplify the following:
5/(8 (6 + 2/3))
Put 6 + 2/3 over the common denominator 3. 6 + 2/3 = (3×6)/3 + 2/3:
5/(8 (3×6)/3 + 2/3)
3×6 = 18:
5/(8 (18/3 + 2/3))
18/3 + 2/3 = (18 + 2)/3:
5/(8 (18 + 2)/3)
| 1 |
| 1 | 8
+ | | 2
| 2 | 0:
(5/8)/(20/3)
Multiply the numerator by the reciprocal of the denominator, (5/8)/(20/3) = 5/8×3/20:
(5×3)/(8×20)
5/20 = 5/(5×4) = 1/4:
3/(8×4)
8×4 = 32:
Answer: 3/32
