Dividing Fractions By: Ms. D. Kritikos. Two numbers are called reciprocals or multiplicative...
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Dividing Fractions By: Ms. D. Kritikos
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Transcript of Dividing Fractions By: Ms. D. Kritikos. Two numbers are called reciprocals or multiplicative...
Dividing Fractions
By: Ms. D. Kritikos
Two numbers are called reciprocals or multiplicative inverses of each other if their product is 1.
EXAMPLES:
The reciprocal of 3 is since
The reciprocal of is since
3
1.1
3
13
4
3
3
4.1
12
12
3
4
4
3
Two numbers are called reciprocals or multiplicative inverses of each other if their product is 1.
EXAMPLES:
The reciprocal of 3 is since
The reciprocal of is since
10
3.1
10
3
3
10
4
5
5
4.1
20
20
5
4
4
5
3
1
What is the reciprocal of the following:
?77
1?4
4
1?5
5
1
?3
2
2
3?
6
16
1
6 ?
5
8
8
5
What is the reciprocal of the following:
13
6
6
57
2
?3
21
5
3?
4
33
15
4?
8
12
17
8
?6
13?
5
11 ?
2
13
means the same as ¼ of 12, or 12 ¼ .
Multiplying by ¼ gives the same answer as dividing by 4.
412
To divide fractions, multiply by the reciprocal of the divisor.
EXAMPLE#1: Divide4
3
10
7
15
14
30
28
3
4
10
7
4
3
10
7
means the same as ¼ of 12, or 12 ¼ .
Multiplying by ¼ gives the same answer as dividing by 4.
412
To divide fractions, multiply by the reciprocal of the divisor.
EXAMPLE#2: Divide 45
2
5
1
10
2
4
1
5
24
5
2
Divide.
7
3
3
2
3
7
3
2
4
3
6
5
3
4
6
5
5
26
2
5
1
6
9
14
18
20
9
51
18
21
9
11
2
30 15
Divide.
415
8
4
1
15
8
108
5
10
1
8
5
3
212
2
3
1
12
60
8
15
2
80
5
16
1
182
36
To divide by a mixed number, change the mixed number to a fraction. Write the reciprocal of the divisor and then multiply.
EXAMPLE#1: Divide
3
11
2
14
8
33
8
27
4
3
2
9
3
4
2
9
Remember to simplify when multiplying or dividing fractions.
To divide by a mixed number, change the mixed number to a fraction. Write the reciprocal of the divisor and then multiply.
EXAMPLE#2: Divide2
12125
505
250
5
2
1
125
2
5
1
125
Divide. Write the answer as a fraction or mixed number in lowest terms.
5
22
5
14
5
12
5
21
12
5
5
21
60
115
8
34
4
16
8
35
4
25
140
200
35
8
4
25
60
551
12
111
140
601
70
31
Divide. Write the answer as a fraction or mixed number in lowest terms.
3
2210
3
8
1
10
8
3
1
10
4
33
8
63
8
30
10
7
12
33
10
7
12
39
21
134
84
524
84
390
7
10
12
39
Now it’s your turn to show what you know…
by completing Lesson 1 & 4: Multiplying Fractions
