The document provides instructions for dividing fractions and mixed numbers. It includes the steps to divide fractions by changing the division to multiplication using the reciprocal of the second fraction. The steps are to keep the first fraction, change the division symbol to multiplication, and use the reciprocal of the second fraction. Then cross reduce if possible, multiply the numerators and denominators, and reduce the final answer if needed. For dividing mixed numbers, the steps are to change the mixed numbers to improper fractions before applying the same steps as for dividing fractions. Examples are provided to demonstrate the process.
1. Name __________________________________ Date __________________
Mrs. Labuski & Mrs. Portsmore Period________ Unit 6 Lesson 3Dividing
Fractions &Mixed Numbers
VOCABULARY DEFINTION EXAMPLE
NumberReciprocal
1
5
3
RECIPROCAL 4
Find the reciprocals:
2. Dividing fractions 22 ÷
=
5 4
1. Rewrite as multiplication using the
2_
reciprocal of the second fraction. =
5
(______, ________, _________)
24
2. Cross ____________________. =
5 2
14___
3. Multiply the _________________ =
5 1
144
4. Multiply the _________________ =
5 1
4
5. _______________if necessary.
5
Dividing mixed numbers 22 ÷
15 4
=
1. Change mixed numbers into _2 ÷ =
____________________ 5 4
2. Rewrite as ____________________
7__
using the reciprocal of the second fraction. =
5 2
(______, ________, _________)
74
3. Cross _______________if able. =
5 2
74__
4. Multiply the _______________ =
5 1
1428
5. Multiply the _______________ =
5 1
6. _______________ to a mixed number 28 ___
=
if necessary. 5
3.
4. Name __________________________________ Date __________________
Mrs. Labuski& Mrs. Portsmore Period________ Unit 6 Lesson 3 Dividing
Fractions & Mixed Numbers
VOCABULARY DEFINTION EXAMPLE
Two numbers are NumberReciprocal
15
reciprocals if their 5 1
product is 1.
34
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 22 ÷
=
5 4
1. Keep the first fraction
Change division to multiplication
24
Flip the second fraction to get the asreciprocal =
5 2
(keep, change, reciprocal)
1
24
2. Cross reduce. =
5 2
1
144
3. Multiply the numerators =
5 1
144
4. Multiply the denominators =
5 1 5
4
5. Reduce if necessary.
5
Dividing mixed numbers 22 ÷
1
5 4
=
1. Change mixed numbers into improper 72 ÷ =
fractions 5 4
2. Rewrite as multiplication using the reciprocal 74
=
of the second fraction.(keep, change, reciprocal) 5 2
74
3. Cross reduce if able. =
5 2
7428
4. Multiply the numerators =
5 2
1428
5. Multiply the denominators =
5 210
6. Reduce /convert to a mixed number if 2884
necessary.
=
10 10 5
=
2 2
6. K C R K C R
5 1 11 ÷11 7 3
6 5 4 7 8 2
K C R
15 1 111 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 11 3 1
1 4 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