Answer:
49/4 (exact result) or as a mixed fraction 12 1/4
Explanation:
Simplify the following:
(3 + 1/2) (3 + 1/2)
Put 3 + 1/2 over the common denominator 2. 3 + 1/2 = (2×3)/2 + 1/2:
(3 + 1/2) (2×3)/2 + 1/2
2×3 = 6:
(3 + 1/2) (6/2 + 1/2)
6/2 + 1/2 = (6 + 1)/2:
(3 + 1/2) (6 + 1)/2
6 + 1 = 7:
(3 + 1/2)×7/2
Put 3 + 1/2 over the common denominator 2. 3 + 1/2 = (2×3)/2 + 1/2:
7/2 (2×3)/2 + 1/2
2×3 = 6:
((6/2 + 1/2)×7)/2
6/2 + 1/2 = (6 + 1)/2:
7/2 (6 + 1)/2
6 + 1 = 7:
7/2×7/2
7/2×7/2 = (7×7)/(2×2):
(7×7)/(2×2)
2×2 = 4:
(7×7)/4
7×7 = 49:
Answer: 49/4 or as mixed fraction ->
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Convert to a mixed number:
49/4
Divide 49 by 4:
4 | 4 | 9
4 goes into 4 at most one time:
| 1 | |
4 | 4 | 9 |
- | 4 | |
| 0 | 9 |
4 goes into 9 at most 2 times:
| 1 | 2 |
4 | 4 | 9 |
- | 4 | |
| 0 | 9 |
| - | 8 |
| | 1 |
Read off the results. The quotient is the number at the top and the remainder is the number at the bottom:
| 1 | 2 | (quotient)
4 | 4 | 9 |
- | 4 | |
| 0 | 9 |
| - | 8 |
| | 1 | (remainder)
The quotient of 49/4 is 12 with remainder 1, so:
Answer: 12 1/4