Simplify the following:
(8+6/11)/(10/11)
Multiply the numerator of (8+6/11)/(10/11) by the reciprocal of the denominator. (8+6/11)/(10/11) = ((8+6/11)×11)/(10):
((8+6/11)×11)/(10)
Put 8+6/11 over the common denominator 11. 8+6/11 = (11×8)/11+6/11:
((11×8)/11+6/11 11)/(10)
11×8 = 88:
((88/11+6/11)×11)/(10)
88/11+6/11 = (88+6)/11:
((88+6)/11×11)/(10)
| 1 |
| 8 | 8
+ | | 6
| 9 | 4:
(94/11×11)/10
94/11×11 = (94×11)/11:
(94×11)/11/10
((94×11)/11)/10 = (94×11)/(11×10):
(94×11)/(11×10)
(94×11)/(11×10) = 11/11×94/10 = 94/10:
94/10
The gcd of 94 and 10 is 2, so 94/10 = (2×47)/(2×5) = 2/2×47/5 = 47/5:
Answer: |
| 47/5
