5.4 dividing fractions updated
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Transcript of 5.4 dividing fractions updated
• Before the bell rings...– Have your assignment out on your desk.– Have your covered textbook with you.
1. 9/5 x 7/11 =
2. Which number is forty-four and four hundred four thousandths?
A. 44.044 B. 44.404 C. 44.0404
• Before the bell rings...– Have your assignment out on your desk.– Have your covered textbook with you.
1. 9/5 x 7/11 =
2. Which number is forty-four and four hundred four thousandths?
A. 44.044 B. 44.404 C. 44.0404
1 8/55
Essential Questions
1. What is the value of studying fractions?
2. What is the relationship between good number sense and working with fractions?
Fractions
Dividing
Rule for ÷
• Change the fractions to improper fractions
• Change the problem to multiplying by the reciprocal
• Divide out common factors
• Multiply the numerator
• Multiply the denominator
• Simplify fraction into lowest terms
Try these examples
9
7
2
1
7
9
2
1
=
= =14
9
1 2
1 5 =
2
52
121
1 5
1 2 =
Try these examples
5
33
3
21
5
18
3
5= =
18
5
3
5 =
54
25
GUIDED PRACTICE for Examples 1 and 2
Find the quotient. Simplify if possible.
1. 58
710
( )–
10Multiply by , the reciprocal of 5
8 –7
710
=58 –
4
5
2528
–= Multiply.
EXAMPLE 2 Dividing a Fraction by a Whole Number
213=
3613 3
1=
6132
1
613
13=
, so the reciprocal of 3 is 313
31= 1 .
Multiply fractions. Divide out common factor.
Multiply.
GUIDED PRACTICE for Examples 1 and 2
Find the quotient. Simplify if possible.
3. –712
34
–
12Multiply by , the reciprocal of 3
4 7– ––
712
=34
– 3
1
271or9
7= Multiply.
GUIDED PRACTICE for Example 3
Find the quotient. Simplify if possible.
5. 4276
276 4
= 447
14
= 447
1 4
Multiply. Divide out common factor.
Multiply.
Multiply by , the reciprocal of447
14
Write 27
6 as improper fraction= 447
4
11
1
147
or117=
GUIDED PRACTICE for Example 3
Find the quotient. Simplify if possible.
7. 10 133
3=
= 101 10
3
= 101
3 10
Multiply. Divide out common factor.
Multiply.
Multiply by , the reciprocal of 310
103
Write 13
3 as improper fraction= 103
10
1
10 133
GUIDED PRACTICE for Example 3
Find the quotient. Simplify if possible.
8. –15 –2 34
58
= 634
218
–
6=
= 634
821
–
= 634
(– 8) 21
Multiply. Divide out common factor.
Multiply.
Multiply by , the reciprocal of63 4
– –218
58–2 3
4– 15
1 1
23
Write34
15 58
–2 and as improper
fractions.
–
Homework
• Page 249 #1-10, 28-31, 53-54