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chapter5.1b
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à 5.1 Changing a Percent to a Fraction or Decimal
äè Please change the following Percents to Fractions or
Decimals.
â
êïChange 25% to a fraction.êïChange 80% to a decimal
êêê 25ê1
#êè 25%è=è───è=è─êè 80%è=è80.%è=è.80
êêê100ê4êêêïê
éSïIn Chapter 2 you were introduced to the Non-Negative Fractions.
#(includes zero)ë ╚è ╔è ╩è ╦è ╠ï.ï.ï.
êêê1è 1è 1è 1è 1
#êêê╚è ╩è ╦è ╦è ╠ï.ï.ï.
êêê2è 2è 2è 2è 2
#êêê╚è ╔è ╦è ╦è ╠ï.ï.ï.
êêê3è 3è 3è 3è 3
êêêë:
è In Chapter 3 it was seen that each one of ç fractions can be
changed to decimal form to generate the following list of numbers.
êêê0.0ï1.0ï2.0ï3.0ï4.0ï.ï.ï.
êêê0.0è.5ï1.0ï1.5ï2.0ï.ï.ï.
#êêêê╪è ╪êï╪
êêê0.0è.3è.6ï1.0ï1.3ï.ï.ï.
#êêêê:êêêè╪
êêêê∙êë (remember .3ï=ï.333∙∙∙)
Now, in Chapter 5 we will see that it is possible to write each one of
ç decimal numbers in Percent form.ïActually, this is the same
set of numbers that can be put in either Fraction Form, Decimal Form,
or Percent Form.
è In order to change 25% to Fraction Form, you should drop the percent
symbol (%), divide by 100, and then reduce.
êêêêê 25ê1
#êêêè 25%è=è───è=è─
êêêêê100ê4
è In order to change 80% to Decimal Form, you should drop the percent
symbol (%) and move the decimal two places to the left.
êêêè 80%è=è80.%è=è.80
êêêêêïê
1
êêê Change 12% to Fraction Form.
êè 6êê 3êê 9
#ë A)ï──êèB)ï──êèC)ï──êèD)ïå
êè25êê25êê26
ü
êêêêê12ê 3
#êêêè12%è=è───è=è──
êêêêë 100ê25
Ç B
2
êêê Change 75% to Fraction Form.
êè3êê 23êê 25
#ë A)ï─êè B)ï──êèC)ï───êïD)ïå
êè4êê 58êê100
ü
êêêêê75ê3
#êêêè75%è=è───è=è─
êêêêë 100ê4
Ç A
3
êêê Change 52% to Fraction Form.
êè15êê12êê13
#ë A)ï──êèB)ï──êèC)ï──êèD)ïå
êè26êê25êê25
ü
êêêêê52ê13
#êêêè52%è=è───è=è──
êêêêë 100ê25
Ç C
4
êêê Change 35% to Fraction Form.
êè 7êê14êê 5
#ë A)ï──êèB)ï──êèC)ï──êèD)ïå
êè20êê50êê14
ü
êêêêê35ê 7
#êêêè35%è=è───è=è──
êêêêë 100ê20
Ç A
5
êêê Change 62% to Fraction Form.
êè22êê15êê31
#ë A)ï──êèB)ï──êèC)ï──êèD)ïå
êè33êê26êê50
ü
êêêêê62ê31
#êêêè62%è=è───è=è──
êêêêë 100ê50
Ç C
6
êêê Change 48% to Fraction Form.
êè12êê23êê14
#ë A)ï──êèB)ï──êèC)ï──êèD)ïå
êè25êê47êê25
ü
êêêêê48ê12
#êêêè48%è=è───è=è──
êêêêë 100ê25
Ç A
7
êêê Change 135% to a mixed number.
êë 3êê 7êê 3
#ë A)ï1 ──ê B)ï1 ──ê C)ï1 ──ê D)ïå
êë17êê20êê20
ü
êêêêë 135êè7
#êêêï135%è=è───è=è1 ──
êêêêë 100êï20
Ç B
8
êêê Change 140% to a mixed number.
êë4êê 2êê 3
#ë A)ï1 ─êïB)ï1 ─êïC)ï1 ─êïD)ïå
êë9êê 5êê 5
ü
êêêêë 140êï2
#êêêï140%è=è───è=è1 ─
êêêêë 100êï5
Ç B
# 9êêë ┌ë1ï┐
#êêê Change │ 233 ─ %│ to a mixed number.
#êêêê └ë3ï┘
êë2êê 1êê 2
#ë A)ï5 ─êïB)ï2 ─êïC)ï7 ─êïD)ïå
êë3êê 3êê 3
ü
#êêêêê ╧╚╚
êë1êï233 1/3ê 3ê 700ê7êï1
#ê 233 ─ %è=è───────è=è───è=è───è=è─è=è2 ─
êë3êè 100êï100ê300ê3êï3
Ç B
# 10êêë┌ë2ï┐
#êêê Change │ 166 ─ %│ to a mixed number.
#êêêê └ë3ï┘
êë1êê 3êê 2
#ë A)ï1 ─êïB)ï2 ─êïC)ï1 ─êïD)ïå
êë3êê 5êê 3
ü
#êêêêê ═╚╚
êë2êï166 2/3ê 3ê 500ê5êï2
#ê 166 ─ %è=è───────è=è───è=è───è=è─è=è1 ─
êë3êè 100êï100ê300ê3êï3
Ç C
11
êêê Change 12% to Decimal Form.
ë A)ï.12êïB)ï1.2êïC)ï120.ê D)ïå
ü
êêêê 12%è=è.12
Ç A
12
êêê Change 35% to Decimal Form.
ë A)ï3.5êïB)ï350.ê C)ï.35êïD)ïå
ü
êêêê 35%è=è.35
Ç C
13
êêê Change 59% to Decimal Form.
ë A)ï5900ê B)ï5.9êïC)ï.59êïD)ïå
ü
êêêê 59%è=è.59
Ç C
14
êêê Change 5% to Decimal Form.
ë A)ï.05êïB)ï.5êèC)ï50êèD)ïå
ü
êêêêï5%è=è.05
Ç A
15
êêê Change 125% to Decimal Form.
ë A)ï1.25êïB)ï12.5ê C)ï1250ê D)ïå
ü
êêêê125%è=è1.25
Ç A
16
êêê Change 247% to Decimal Form.
ë A)ï.247êïB)ï2.47ê C)ï24.7ê D)ïå
ü
êêêê247%è=è2.47
Ç B
17
êêê Change 19.6% to Decimal Form.
ë A)ï1.96êïB)ï.196ê C)ï196êïD)ïå
ü
êêêë 19.6%è=è.196
Ç B
18
êêê Change 5.3% to Decimal Form.
ë A)ï.53êèB)ï5.30ê C)ï.053ê D)ïå
ü
êêêê5.3%è=è.053
Ç C
19
êêê Change .46% to Decimal Form.
ë A)ï.0046ê B)ï.460ê C)ï.046ê D)ïå
ü
êêêê.46%è=è.0046
Ç A
20êêê 1
#êêê Changeï4 ─ %ïto Decimal Form.
êêêêè 2
ë A)ï.045êïB)ï.450ê C)ï.0045êD)ïå
ü
êêê1
#êêë4 ─ %è=è4.5%è=è.045
êêê2
Ç A