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Solution.
2 8 · 3+ 2 24 + 2 26
8 = = = .
3 3 3 3
Example 84. Write the whole number 8 as an improper fraction in three different ways.
0
Solution. We can think of the whole number 8 as the “mixed” number 8 for any nonzero q.By the
q
boxed rule,
8 · q +0 8 · q
8= = .
q q
Picking three nonzero numbers for q,say, 2, 5 and 10, we get
8 · 2 16 8 · 5 40 8 · 10 80
8= = , 8 = = , and 8 = = .
2 2 5 5 10 10
3.3.4 Exercises
Convert the mixed numbers into improper fractions:
1
1. 1
2
1
2. 8
3
3
3. 15
8
3
4. 5
4
5
5. 11
6
N · q
Using N = for any nonzero q, write three fractions equal to each given whole number:
q
6. 5
7. 11
8. 10
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