Chapter 1 Fractions As part of your California Mathematics Review, you must understand how to add, subtract, multiply, and divide fractions. Answers for fraction problems will be given in a simplified form. In this chapter, you will review and practice all of the skills needed to add, subtract, multiply, and divide fractions as well as to simplify them.
1.1
Simplifying Improper Fractions
28 = 28 ÷ 3 = 9 remainder 1 3 The quotient, 9, becomes the whole number portion of the mixed number. & 1 28 = 9 Á The remainder, 1, becomes the top number of the fraction. 3 3 % % The bottom number of the fraction always remains the same. 7 Simplify . 5 7 is the same as 7 ÷ 5. 7 ÷ 5 = 1 with a remainder of 2. 5 Rewrite as a whole number with a fraction. 1 25 Simplify
Example 1:
Example 2: Step 1: Step 2:
Simplify the following improper fractions. 8 = ___ 6 2 2. = ___ 1 30 3. = ___ 4
13 = ___ 5 18 5. = ___ 7 12 6. = ___ 11
1.
4.
21 = ___ 3 10 8. = ___ 9 17 9. = ___ 3
12 = ___ 7 27 11. = ___ 6 17 12. = ___ 2
7.
10.
15 = ___ 4 41 14. = ___ 9 11 15. = ___ 4
8 = ___ 5 3 17. = ___ 2 7 18. = ___ 2
13.
16.
Fractions that have the same denominator (bottom number) can be added quickly. Add the numerators (top numbers) and keep the bottom number the same. Simplify the answer. The first one is done for you. 19.
3 7
+ 37 +
5 7
20.
3 5
+ 25 +
1 5
21.
6 10
+
9 10
+
=
7 10
11 7
= 1 47
22.
4 9
+ 79 +
23.
6 12
24.
1 8
+
8 12
3 9
+
+ 58 +
7 8
1 12
25.
2 3
26.
2 15
+
9 15
+
11 15
27.
4 11
+
3 11
+
6 11
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+ 13 +
1 3
15