Download Multiplying Rational Numbers

NAME ______________________________________________ DATE
5-3
____________ PERIOD _____
Multiplying Rational Numbers
(Pages 210–214)
To multiply fractions, multiply the numerators and multiply the denominators.
a
b
c
d
a
b
c
d
ac
bd
For fractions and , where b 0 and d 0, .
Multiplying
Fractions
If fractions have common factors in the numerators and denominators, you can simplify before you
multiply.
Examples
1 2
a. Solve x .
5
3 2
b. Solve y .
3
4
5
2
3
y 4
5
1
2
x 5
3
12
53
2
15
or 3 21
/
45
2/
The GCF of 2 and 4 is 2. Divide 2 and 4 by 2.
31
25
3
10
or Try These Together
Solve each equation. Write the solution in simplest form.
2 1
1. t 3
2.
4
35 21 g
5 4
2
6. m 18 3
1
3
3. c Practice
Solve each equation. Write the solution in simplest form.
9
(3) h
4. 10
2
12
7. 5 a
15
3
10. p 3 3
4
1
3
5. d
2 11
9. 4k
9
6
12. r 5 4
8. n 3
5
15
3
11. w
21
20
12 18
2
12
13. What is the product of and ?
20
3
5
14. What is of 42?
8
1
15. Standardized Test Practice Jemeal has $75 to go shopping. She spends 3
of her money on CDs and 1 on food at the food court. About how much
8
money does she have left?
A $54
B $41
C $33
D $24
15. B
6
10
20
10
8
3
5
7
4
5
4
Answers: 1. 1 2. 3 3. 3 4. 27 5. 3 6. 12 7. 4 8. 3 1 9. 21 10. 3 11. 3 12. 1 13. 2 14. 261
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Glencoe/McGraw-Hill
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Glencoe Pre-Algebra