Download 4.6 Divide whole numbers by fractions

4.6 Divide whole numbers by frac8ons
Page 308
Thursday, September 25, 14
Essen8al Ques8on
• Why does a whole number divided by a fraction less than
one have a quotient greater than the whole number
dividend?
Common Core Standards
• 6.NS.1
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Vocabulary
Reciprocals – any two number with a product of 1
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Find Reciprocals
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Divide by a Frac8on
Words -­‐ To divide a whole number by a frac8on, mul8ply by its reciprocal.
Numbers – 2 5 3
5÷ = ×
3 1 2
2
The division 5 ÷ 3 is read as 5 divided by two thirds. You will need to know how many two thirds are in 5.
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Find the reciprocal of each number
1. 2 2. 1 3. 4
3
7
Thursday, September 25, 14
Find the reciprocal of each number
1. 2 2. 1 3. 4
3
7
3
2
Thursday, September 25, 14
Find the reciprocal of each number
1. 2 2. 1 3. 4
3
7
3
2
Thursday, September 25, 14
7
=7
1
Find the reciprocal of each number
1. 2 2. 1 3. 4
3
7
3
2
Thursday, September 25, 14
7
=7
1
1
4
Divide. Write in simplest form.
4. 1
2÷
3
Thursday, September 25, 14
Divide. Write in simplest form.
4. 1
2÷
3
2 3
×
1 1
Thursday, September 25, 14
Divide. Write in simplest form.
4. 1
2÷
3
2 3
×
1 1
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6
=6
1
Divide. Write in simplest form.
5. 4
2÷
5
Thursday, September 25, 14
Divide. Write in simplest form.
5. 4
2÷
5
2 5
×
1 4
Thursday, September 25, 14
Divide. Write in simplest form.
5. 4
2÷
5
2 5
×
1 4
Thursday, September 25, 14
Divide. Write in simplest form.
5. 4
2÷
5
1
2 5
×
1 4
Thursday, September 25, 14
Divide. Write in simplest form.
5. 4
2÷
5
1
2 5
×
1 4
2
Thursday, September 25, 14
Divide. Write in simplest form.
5. 4
2÷
5
1
2 5
×
1 4
2
Thursday, September 25, 14
5
2
Divide. Write in simplest form.
5. 4
2÷
5
1
2 5
×
1 4
2
Thursday, September 25, 14
5
2
2 5
Divide. Write in simplest form.
5. 4
2÷
5
1
2 5
×
1 4
2
Thursday, September 25, 14
5
2
2
2 5
Divide. Write in simplest form.
5. 4
2÷
5
1
2 5
×
1 4
2
Thursday, September 25, 14
5
2
2
2 5
-4
Divide. Write in simplest form.
5. 4
2÷
5
1
2 5
×
1 4
2
Thursday, September 25, 14
5
2
2
2 5
-4
1
Divide. Write in simplest form.
5. 4
2÷
5
1
2 5
×
1 4
2
Thursday, September 25, 14
5
2
2
2 5
-4
1
1
2
2
Divide. Write in simplest form.
6. 2
5÷
7
Thursday, September 25, 14
Divide. Write in simplest form.
6. 2
5÷
7
5 7
×
1 2
Thursday, September 25, 14
Divide. Write in simplest form.
6. 2
5÷
7
5 7
×
1 2
Thursday, September 25, 14
35
2
Divide. Write in simplest form.
6. 2
5÷
7
5 7
×
1 2
Thursday, September 25, 14
35
2
2 35
Divide. Write in simplest form.
6. 2
5÷
7
5 7
×
1 2
Thursday, September 25, 14
35
2
1
2 35
Divide. Write in simplest form.
6. 2
5÷
7
5 7
×
1 2
Thursday, September 25, 14
35
2
1
2 35
-2
Divide. Write in simplest form.
6. 2
5÷
7
5 7
×
1 2
35
2
1
2 35
-2
1
Thursday, September 25, 14
Divide. Write in simplest form.
6. 2
5÷
7
5 7
×
1 2
35
2
1
2 35
-2
15
Thursday, September 25, 14
Divide. Write in simplest form.
6. 2
5÷
7
5 7
×
1 2
35
2
17
2 35
-2
15
Thursday, September 25, 14
Divide. Write in simplest form.
6. 2
5÷
7
5 7
×
1 2
35
2
17
2 35
-2
15
-14
Thursday, September 25, 14
Divide. Write in simplest form.
6. 2
5÷
7
5 7
×
1 2
35
2
17
2 35
-2
15
-14
1
Thursday, September 25, 14
Divide. Write in simplest form.
6. 2
5÷
7
5 7
×
1 2
35
2
17
2 35
-2
15
-14
1
Thursday, September 25, 14
1
17
2
Word Problems
7. A neighborhood development that is 4 acres 2
to be divided into 3 acre lots. How many lots can be created?
Thursday, September 25, 14
Word Problems
7. A neighborhood development that is 4 acres 2
to be divided into 3 acre lots. How many lots can be created?
4÷
2
3
Thursday, September 25, 14
Word Problems
7. A neighborhood development that is 4 acres 2
to be divided into 3 acre lots. How many lots can be created?
4÷
2
3
4 3
×
1 2
Thursday, September 25, 14
Word Problems
7. A neighborhood development that is 4 acres 2
to be divided into 3 acre lots. How many lots can be created?
4÷
2
3
4 3
×
1 2
Thursday, September 25, 14
Word Problems
7. A neighborhood development that is 4 acres 2
to be divided into 3 acre lots. How many lots can be created?
4÷
2
3
4 3
×
1 2
Thursday, September 25, 14
Word Problems
7. A neighborhood development that is 4 acres 2
to be divided into 3 acre lots. How many lots can be created?
4÷
2
3
2
4 3
×
1 2
Thursday, September 25, 14
Word Problems
7. A neighborhood development that is 4 acres 2
to be divided into 3 acre lots. How many lots can be created?
4÷
2
3
2
4 3
×
1 2
1
Thursday, September 25, 14
Word Problems
7. A neighborhood development that is 4 acres 2
to be divided into 3 acre lots. How many lots can be created?
4÷
2
3
2
4 3
×
1 2
1
Thursday, September 25, 14
6
= 6 lots
1
Building on the Essen8al Ques8on
8. Why does a whole number divided by a frac8on less than one have a quo8ent greater than the whole number dividend?
Thursday, September 25, 14
Building on the Essen8al Ques8on
8. Why does a whole number divided by a frac8on less than one have a quo8ent greater than the whole number dividend?
Since the divisor is less than one, each “part” is less than one whole.
So, there will be more “parts” than “wholes”.
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Summarize
• Make sure you do the summarize sec8on. Thursday, September 25, 14
Rate yourself
How well do you understand dividing whole numbers by frac8ons? Circle the image that applies.
Thursday, September 25, 14