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Lesson 5 3 dividing mixed numbers
1. Name __________________________________ Date __________________
Mrs. Labuski & Mrs. Rooney Period________ Lesson 5-3 Dividing Fractions &
Mixed Numbers
VOCABULARY DEFINTION EXAMPLE
Two numbers are Number Reciprocal
1 5
reciprocals if their 5 1
product is 1.
3 4
RECIPROCAL Dividing by a 4 3
number is the same
as multiplying by
its reciprocal.
Find the reciprocals:
Change mixed number to an improper fraction and then find the reciprocal.
2. Dividing fractions 2 ÷2
=
5 4
1. Keep the first fraction
Change division to multiplication 2 4
=
Flip the second fraction to get the as reciprocal 5 2
(keep, change, reciprocal)
1
2 4
2. Cross reduce. =
5 2
1
1 4 4
3. Multiply the numerators =
5 1
1 4 4
4. Multiply the denominators =
5 1 5
4
5. Reduce if necessary.
5
Dividing mixed numbers 2 ÷2
1 5 4
=
1. Change mixed numbers into improper 7 ÷2 =
fractions 5 4
2. Rewrite as multiplication using the reciprocal 7 4
=
of the second fraction.(keep, change, reciprocal) 5 2
7 4
3. Cross reduce if able. =
5 2
7 4 28
4. Multiply the numerators =
5 2
1 4 28
5. Multiply the denominators =
5 2 10
6. Reduce /convert to a mixed number if 28 8= 4
necessary.
= 2 2
10 10 5
3.
4. Name __________________________________ Date __________________
Mrs. Labuski & Mrs. Rooney Period________ Lesson 5-3 Dividing Fractions &
Mixed Numbers
VOCABULARY DEFINTION EXAMPLE
Two numbers are Number Reciprocal
1 5
reciprocals if their 5 1
product is 1.
3 4
RECIPROCAL Dividing by a 4 3
number is the same
as multiplying by
its reciprocal.
Find the reciprocals:
Change mixed number to an improper fraction and then find the reciprocal.
5. Dividing fractions 2 ÷2
=
5 4
1. Keep the first fraction
Change division to multiplication 2 4
=
Flip the second fraction to get the as reciprocal 5 2
(keep, change, reciprocal)
1
2 4
2. Cross reduce. =
5 2
1
1 4 4
3. Multiply the numerators =
5 1
1 4 4
4. Multiply the denominators =
5 1 5
4
5. Reduce if necessary.
5
Dividing mixed numbers 2 ÷2
1 5 4
=
1. Change mixed numbers into improper 7 ÷2 =
fractions 5 4
2. Rewrite as multiplication using the reciprocal 7 4
=
of the second fraction.(keep, change, reciprocal) 5 2
7 4
3. Cross reduce if able. =
5 2
7 4 28
4. Multiply the numerators =
5 2
1 4 28
5. Multiply the denominators =
5 2 10
6. Reduce /convert to a mixed number if 28 8= 4
necessary.
=
2 2
10 10 5
6. K C R K C R
5 1 11 ÷ 11 7 3
6 5 4 7 8 2
K C R
15 1 1 11 7 21
6 51 4 11 1 16
7
4
13 ÷ 11 9 ÷ 3 3 ÷ 9
4 4 10 1 4 1
K C R K C R K C R
13 4 1 39 1 13 1
14 11 10 31 4 93
13 3 1
11 10 12
24 ÷ 6 5÷ 23 17 ÷ 13
9 7 6 10 8 4
K C R K C R K C R
424 7 5 105 17 41
9 61 36 23 28 13
28
9
