Download D. Decimal to percent E. Fraction to Percent

Math 7
Unit 3 Worksheet
Name:
A. Percent to Decimal and Fractions
Express the following percents as decimals and fractions. Express the fractions with a
denominator of 100, then reduced to simplest form if possible.
Percent
Decimal
Fraction
Example
24%
0.24
24/100 = 6/25
1.
62%
0.62
62/100=31/50
2.
12%
0.12
12/100=3/25
3.
8%
0.08
8/100=2/25
4.
80%
0.8
80/100=4/5
5.
44%
0.44
44/100=11/25
B. Fractions with Denominator of 100
Write each fraction as an equivalent fraction with a denominator of 100.
Example
1/4
25/100
1.
2/10
20/100
2.
4/50
8/100
3.
5/20
25/100
4.
17/50
34/100
5.
12/25
48/100
6.
2/5
40/100
7.
3/5
60/100
8.
3/4
75/100
C. Fill in the blank with < ,>, or = to make each of the following true. Show the
strategy used to determine.
1. 0.3 _<__
33%
2. 3/5 _=__
60%
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3. 21% _<__ 2.1
Math 7
Unit 3 Worksheet
D. Decimal to percent
E. Fraction to Percent
Write each decimal as a percent:
Example
0.04
4%
Write each fraction as a percent:
Example
15/100
15%
1.
0.77
77%
1.
58/100
58%
2.
0.15
15%
2.
9/100
9%
3.
0.893
89.3%
3.
7/20
35%
4.
0.06
6%
4.
3/10
30%
F. Fractions, Decimals and Percentages
Complete the following tables
1
Fraction
4/25
Decimal
0.16
Percentage
16%
2
2/16
0.125
12.5%
3
2/15
0.133
13.3%
4
1/11
0.091
9.1%
5
29/40
0.725
72.5%
6
8/15
0.533
53.3%
7
3/6
0.5
50%
8
¼
0.25
25%
9
1/5
0.2
20%
10
1/6
0.167
16.7%
11
10/20
0.5
50%
12
3/7
0.429
42.9%
13
60/100
0.6
60%
14
10/16
0.625
62.5%
15
5/6
0.833
83.3%
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Math 7
Unit 3 Worksheet
Reduce all fractions to simplest form.
Percent
16 92%
Decimal
0.92
Fraction
92/100 = 23/25
17
71%
0.71
71/100
18
32%
0.32
8/25
19
12%
0.12
12/100=3/25
20
66%
0.66
33/50
21
31%
0.31
31/100
22
64%
0.64
64/100=16/25
23
36%
0.36
9/25
24
98%
0.98
49/50
25
72%
0.72
72/100=18/25
26
50%
0.5
½
27
44%
0.44
44/100=11/25
28
75%
0.75
¾
29
91%
0.91
91/100
30
23%
0.23
23/100
G. Solve for the following percents of numbers. Don’t use a calculator and show
all your calculations.
1. 10% of 14
14 x 0.1 = 1.4
3. 13% of 89
89 x 0.13 = 11.57
2. 19% of 98
98 x 0.19 = 18.62
4. 14% of 68
68 x 0.14 = 9.52
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Math 7
Unit 3 Worksheet
H. Solve the word problems below involving percent. Don’t use a calculator and
show all your calculations.
1. Carrie’s bought her snowboard for $425.00. If she sold it for 80% of the original price, how
much did she sell it for?
0.8 x 425 = $340.00
2. Mike got 90% of the questions correct on the test. If there were 80 questions, how many did he
get right?
0.90 x 80 = 72
3. Leslie had 48 comic books but sold 25% of them. How many did she sell?
0.25 x 48 = 12
4. Erika and Nick want to buy a Nintendo Wii. The regular price is $299.99 but the Wii is 25%
off. Erika starts by calculating 25% of $299.99 whereas Nick calculates 75% of $299.99
a) Show how Erika uses her calculation to find the sale price
b) How does Nick find the sale price?
c) Do both methods result in the same sale price? Explain your answer.
a) .25 x 299.99 = 74.9975 = 75.00 off. Price = $299.99 – 75 = 224.99
b) .75 x 299.99=224.99
c) Yes – nick’s way is faster if trying to find the new price
Answers: A. 1) .62 31/50 3) 0.08 2/25 5) 0.44 11/25 B. 1) 20/100 3) 25/100 5) 48/100 7) 60/100 C. 1) < 3) < D. 1)
77% 3) 89.3% E. 1) 58% 3) 35% F. 1) 16% 3) 13.3% 5) 72.5% 7) 50% 9) 20% 11) 50% 13) 60% 15) 83.3% 17) 71%
71/100 19) 12% 3/25 21) 31% 0.31 23) 36% 0.36 25) 0.72 18/25 27) 11/25 29) 0.91 91/100 G. 1) 1.4 3) 11.57 H. 1) $340.00
3) 12
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