Chapter 3 Fractions
3.6
Changing Mixed Numbers and Improper Fractions
A mixed number has both a whole number and a fraction. An improper fraction has a denominator that is smaller than the numerator, such as 64 .
Example 6:
Step 1:
Step 2:
Step 3:
3
Change 4 to an improper fraction.
5
Multiply the whole number (4) by the bottom number of the fraction (5).
4 × 5 = 20
Add the top number to the product from Step 1: 20 + 3 = 23
Put the answer from step 2 over the bottom number (5).
2. Add this number.
3. Put the answer here.
&
.
23
3
4 =
5
5
4. This number stays the same.
1. Multiply these two numbers.
Change the following mixed numbers to improper fractions.
1
1. 3 =_______
2
5
6. 8 =_______
8
3
11. 3 =_______
5
5
16. 2 =_______
6
7
2. 2 =_______
8
2
7. 1 =_______
3
3
12. 9 =_______
8
3
17. 7 =_______
5
2
3. 9 =_______
3
1
8. 2 =_______
2
4
13. 10 =_______
5
7
18. 6 =_______
8
3
4. 4 =_______
5
1
9. 6 =_______
5
14. 3
3
=_______
10
2
19. 7 =_______
5
1
5. 7 =_______
4
2
10. 5 =_______
5
54
1
15. 4 =_______
8
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2
20. 7 =_______
3