Transcript 5-5

5-5 Multiplying Mixed Numbers
Learn to multiply mixed numbers.
5-5 Multiplying Mixed Numbers
Remember!
To write a mixed number as an improper fraction,
start with the whole number, multiply by the
denominator, and add the numerator. Use the
same denominator.
1
__
1 5
1•5+1
6
= _________
= __
5
5
5-5 Multiplying Mixed Numbers
Additional Example 1A: Multiplying Fractions
and Mixed Numbers
Multiply. Write each answer in simplest form.
1
1
__
• 1 __
4
3
1
4
__
__
•
4
3
1•4
_____
4•3
4
__
12
1
__
3
1
1
4
__
__
__
Write 1
as an improper fraction. 1 =
3
3
3
Multiply numerators. Multiply denominators.
Write the answer in simplest form.
5-5 Multiplying Mixed Numbers
Additional Example 1B: Multiplying Fractions
and Mixed Numbers
Multiply. Write each answer in simplest form.
1
4
3 __
• __
2
7
4
__
__
•
2
5
7•4
_____
2•5
28
__
10
5
1
1
7
Write 3 __ as an improper fraction. 3 __ = __
2
2
2
Multiply numerators. Multiply denominators.
14
4 Write the answer in simplest form. You
__
__
=2
5
5 can write the answer as a mixed number.
5-5 Multiplying Mixed Numbers
Additional Example 1C: Multiplying Fractions
and Mixed Numbers
Multiply. Write each answer in simplest form.
12
3
__ • 2 __
13
8
3
3 19
12
__ • 19
__
Write 2 __ as an improper fraction. 2 __= __
8
8
8
13
8
3 12
__ • 19
__ Use the GCF to simplify before multiplying.
13
8
2
3 • 19
______
13 • 2
57
5
__
__
You can write the answer as a mixed number.
=2
26
26
5-5 Multiplying Mixed Numbers
Check It Out: Example 1A
Multiply. Write each answer in simplest form.
1
1
__
__
9 • 1 2
1
3
__
__
•
9
2
1
1
3
Write 1 __ as an improper fraction. 1 __= __
2
2
2
1•3
_____
9•2
Multiply numerators. Multiply denominators.
3
__
18
1
__
6
Write the answer in simplest form.
5-5 Multiplying Mixed Numbers
Check It Out: Example 1B
Multiply. Write each answer in simplest form.
2
5
__
__
2 3 • 6
8
5
__
__
•
3
6
2
2
8
Write 2 __ as an improper fraction. 2 __= __
3
3
3
8•5
_____
3•6
Multiply numerators. Multiply denominators.
40
__
18
20
2
__ = 2 __
9
9
Write the answer in simplest form. You
can write the answer as a mixed number.
5-5 Multiplying Mixed Numbers
Check It Out: Example 1C
Multiply. Write each answer in simplest form.
14
2
__ • 3 __
15
7
14
__ • 23
__
15
7
2 14
__ • 23
__
15
71
2
2
23
__
__
Write 3 as an improper fraction. 3 = __
7
7
7
Use the GCF to simplify before multiplying.
2 • 23
______
15 • 1
46
1
__
__
=3
15
15
You can write the answer as a mixed
number.
5-5 Multiplying Mixed Numbers
Remember!
You can estimate the product to see whether
your answer is reasonable.
5-5 Multiplying Mixed Numbers
Additional Example 2A: Multiplying Mixed
Numbers
Find each product. Write the answer in simplest form.
1
2
__
__
1 3 •2 7
Write the mixed numbers as improper
5
15
__
__
•
1
15
2
5
__
3
7
__
fractions. 1 __ = __
2
=
7
7
3
3
5
•
15
______
Multiply numerators. Multiply denominators.
3 • 7
75
__
21
12
You can write the improper fraction as a
__
3
mixed number.
21
4
Simplify.
3 __
7
5-5 Multiplying Mixed Numbers
Additional Example 2B: Multiplying Mixed
Numbers
Find each
Write the answer in simplest form.
2
3 product.
1 __ • 2 __
5
8
Write the mixed numbers as improper
11
__ • 12
__
2
12
3
11
__
__
__
__
8
5
fractions. 1 =
2
=
5
5
8
8
3
11
__ • 12
__
Use the GCF to simply before multiplying.
8
5
2
11 • 3
______
Multiply numerators. Multiply denominators.
2•5
33
__
10
3
3 __
10
Simplify.
5-5 Multiplying Mixed Numbers
Check It Out: Example 2A
Find each product. Write the answer in simplest form.
1
3
__
__
1
• 2
6
4
Write the mixed numbers as improper
7
13
__
__
•
1
13
3
7
__
4
6
__
fractions. 1 __ = __
2
=
6
6
4
4
7
•
13
______
Multiply numerators. Multiply denominators.
4 • 6
91
__
24
19
__
3
24
You can write the improper fraction as a
mixed number.
5-5 Multiplying Mixed Numbers
Check It Out: Example 2B
Find each product. Write the answer in simplest form.
3
2
1 __
• 3 __
5
9
11
__ • 18
__
9
5
2
11
__ • 18
__
5
1 9
11 • 2
______
1•5
22
__
5
2
4 __
5
Write the mixed numbers as improper
3
18
2
11
__
__
__
__
fractions. 1 =
. 3
=
5
5
9
9
Use the GCF to simply before multiplying.
Multiply numerators. Multiply denominators.
Simplify.