Ch 1 Fractions. Multiply and Divide
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CHAPTER 1: MULTIPLY AND DIVIDE. © John Wiley and Sons 2013 www.wiley.com/college/B radley © John Wiley and Sons 2013 Essential Mathematics for Economics and Business, 4 th Edition
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Transcript of Ch 1 Fractions. Multiply and Divide
CHAPTER 1: MULTIPLY AND DIVIDE.
© John Wiley and Sons 2013www.wiley.com/college/Bradley © John Wiley and Sons 2013
Essential Mathematics for Economics and Business, 4 th Edition
© John Wiley and Sons 2013www.wiley.com/college/Bradley
Fractions
Examples on the following slides:
Multiplication and division involving fractions:
© John Wiley and Sons 2013www.wiley.com/college/Bradley
Multiplying fractions: see text page 8
73
52
7
5
3
2
• Write the overall sign first.(In this case the sign is +, which is implicit and does not need to be stated)
• Multiply all the numerators
(top lines)• Multiply all the denominators
(bottom lines)• Simplify, if necessary
7
5
3
2
21
10
© John Wiley and Sons 2013www.wiley.com/college/Bradley
Multiplying fractions: see text page 8
53
72
5
7
3
2
• Write the overall sign first ( in this case)
• Multiply all the numerators
(top lines)• Multiply all the denominators
(bottom lines)
5
7
3
2
15
14
© John Wiley and Sons 2013www.wiley.com/college/Bradley
• Overall sigh is +• Multiply all the numerators (top
lines)• Multiply all the denominators
(bottom lines)
Multiplying fractions: see text page 8
5
651
23
5
23
• Write integers (whole numbers) as fractions by putting them over 1
5
2
1
3
5
23
5
11
5
11
5
6
• Simplify:divide the bottom line into the top line
© John Wiley and Sons 2013www.wiley.com/college/Bradley
Multiplying fractions: see text page 8
• Multiply the numerators (top lines)
)3(
)3(3
3
33
xx
x
x
x
x
3
33
x
x
x
xx
x
3
93
2
• Multiply the denominators
(bottom lines)
• Simplify, if possible
© John Wiley and Sons 2013www.wiley.com/college/Bradley
Dividing fractions: see text page 9
Dividing by 5/11 is the same as multiplying by 11/5
5
11
3
2
11532
11532 Remember the following statement:
“Dividing by a fraction is the same as multiplying by that fraction inverted”
15
22
© John Wiley and Sons 2013www.wiley.com/college/Bradley
Dividing fractions: see text page 8 and 9
Write integers (whole numbers) as fractions by putting them over 1
…so write 5 as 5 /1
431
5
435
435
“Dividing by a fraction is the same as multiplying by that fraction inverted”
3
4
1
5
3
20
3
26
3
26
© John Wiley and Sons 2013www.wiley.com/college/Bradley
Dividing fractions: see text page 8 and 9
Write integers (whole numbers) as fractions by putting them over 1
1837
837
837
“Dividing by a fraction is the same as multiplying by that fraction inverted”
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78
1
3
7
© John Wiley and Sons 2013www.wiley.com/college/Bradley
Dividing fractions: see text page 9
x
yx
yx
x
yxx
yxx
3
)(22
)(23
2
)(23
2
yxx
yxx
x in the numerator divides
into x in the numerator)(3
)(4
yxx
yxx
)(3
)(4
yx
yx
“Dividing by a fraction is the same as multiplying by that fraction inverted”
