Answer:
44/5
Explanation:
Simplify the following:
(6 + 3/5)/(3/4)
Multiply the numerator of (6 + 3/5)/(3/4) by the reciprocal of the denominator. (6 + 3/5)/(3/4) = ((6 + 3/5)×4)/3:
((6 + 3/5)×4)/3
Put 6 + 3/5 over the common denominator 5. 6 + 3/5 = (5×6)/5 + 3/5:
((5×6)/5 + 3/5 4)/3
5×6 = 30:
((30/5 + 3/5)×4)/3
30/5 + 3/5 = (30 + 3)/5:
((30 + 3)/5×4)/3
30 + 3 = 33:
(33/5×4)/3
33/5×4 = (33×4)/5:
((33×4)/5)/3
((33×4)/5)/3 = (33×4)/(5×3):
(33×4)/(5×3)
3 | 1 | 1
| 3 | 3
- | 3 |
| | 3
| - | 3
| | 0:
(11×4)/5
11×4 = 44:
Answer: 44/5