1. Warm Up
Write each number as an improper fraction. 1 7 3 7 15 8 2 17 5 1. 2 2. 1 3. 3 3 8 5 2 20 3 3 43 8 4. 6 5. 5 3 8

3. Example 1: Multiplying a Fraction and an Integer
Multiply. Write the answer in simplest form.
6 7
To write as a mixed number, divide:
Helpful Hint
–48 7
–48 7
= –6 R6
6 7
= –6 A. –8
–8 • 6 7
–48 7
Multiply. –6
6 7
Simplify.

4. Example 1: Multiplying a Fraction and an Integer
Multiply. Write the answer in simplest form.
1 3 B. 2 5
16 3 2
5(3) + 1 3 =
1 3 5
16 3
32 3
Multiply. 10
2 3
Simplify.

5. 5 8 –3 –3 • 5 8 –15 8 7 8 –1 Multiply. Simplify.
Check It Out: Example 1
Multiply. Write the answer in simplest form.
5 8 A. –3
–3 • 5 8
–15 8
Multiply. –1
7 8
Simplify.

6. Check It Out: Example 1
Multiply. Write the answer in simplest form.
2 5 B. 4 9
47 5 4
9(5) =
2 5 9
47 5
188 5
Multiply. 37
3 5
Simplify.

7. Example 2: Multiplying Fractions
Multiply. Write the answer in simplest form.
1 8
6 7 A.
1(6) 8(7)
Multiply numerators.
Multiply denominators. 3 4
1(6) 8(7)
Look for common factors: 2.
3 28
Simplify.

8. Example 2: Multiplying Fractions
Multiply. Write the answer in simplest form.
2 3
9 2 B. –
–2(9) 3(2)
Multiply numerators.
Multiply denominators. 1 –1 3 1
–2(9) 3(2)
Look for common factors: 2, 3. –3
Simplify.

9. 3 5 5 8 3(5) 5(8) 3(5) 5(8) 3 8 Multiply numerators.
Check It Out: Example 2
Multiply. Write the answer in simplest form.
3 5
5 8 A.
3(5) 5(8)
Multiply numerators.
Multiply denominators. 1
3(5) 5(8)
Look for common factors: 5.
3 8
Simplify.

10. 7 8 4 7 – –7(4) 8(7) –1 –7(4) 8(7) 1 2 – Multiply numerators.
Check It Out: Example 2
Multiply. Write the answer in simplest form.
7 8
4 7 B. –
–7(4) 8(7)
Multiply numerators.
Multiply denominators. 1 –1 1 2
–7(4) 8(7)
Look for common factors: 4, 7.
1 2 –
Simplify.

11. Example 3: Multiplying Decimals
Product is negative with 2 decimal places.
2 • (–0.51) = –1.02
B. (–0.4)(–3.75)
Product is positive with 3 decimal places.
(–0.4) • (–3.75) = 1.500
= 1.5 00
You can drop the zeros after the decimal point.

12. Check It Out: Example 3
Multiply. A.
3.1 (0.28)
Product is positive with 3 decimal places.
3.1 • (0.28) = 0.868 B.
(–0.4)(–2.53)
Product is positive with 3 decimal places.
(–0.4) • (–2.53) = 1.012

13. = = Example 4: Application Joy completes of her painting each day.
How much of her painting does she complete in a 7 day week?
1 20
1 20
1 20 71
(7) =
Write as an improper fraction.
1 • 7 20 • 1 =
Multiply.
7 20 =
Joy completes of her painting in a 7-day week.
7 20

14. = = Check It Out: Example 4 1 7
1 7
Mark runs mile each day. What is the total
distance Mark runs in a 5-day week?
1 7
1 7 51
(5) =
Write as an improper fraction.
1 • 5 I7 • 1 =
Multiply.
5 7 =
Mark runs mile in a 7-day week.
5 7

15. – – Lesson Quiz Multiply. 1 7 1 2 7 1. 9 2 3 5 8 5 12 2. 3. –0.47(2.2)
–1.034
1 2 45
4. Evaluate 2 (x) for x = . 2
6 miles
2 9
8 9
Edgar runs mile each day. What is the total distance that Edgar runs in a 7-day week? 5.