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Writing Fractions, Decimals, and Percents
A percent is a part-to-whole ratio where the whole is 100. The symbol for percent is %.
In the model, 47 of the 100 squares are shaded. You can write the shaded part of the
model as a fraction, a decimal, or a percent.
47
Fraction: forty-seven out of one hundred, or —
100
Decimal: forty-seven hundredths, or 0.47
Percent: forty-seven percent, or 47%
Example 1 Write the percent or decimal as a fraction.
86
43
a. 86% = — = —
100 50
125 5
1
b. 125% = — = —, or 1—
100 4
4
2
1
c. 0.2 = — = —
10 5
Example 2 Write the percent or fraction as a decimal.
⋅
⋅
3
b. — = 3 ÷ 8 = 0.375
8
a. 19% = 19. = 0.19
3
3 5
15
c. — = — = — = 0.15
20 20 5 100
Example 3 Write the decimal or fraction as a percent.
a. 0.34 = 0.34 = 34%
⋅
⋅
3 3 50 150
c. — = — = — = 150%
2 2 50 100
b. 0.915 = 0.915 = 91.5%
Practice
Check your answers at BigIdeasMath.com.
Write the percent or decimal as a fraction.
7
10
1
5. 0.125 —
8
24
9. 96% —
25
2
25
1. 0.7 —
2. 0.08 —
6. 0.744
10. 1%
93
125
—
1
100
—
Write the percent or fraction as a decimal.
3
4
13. —
31
20
17. —
5
8
14. — 0.625
0.75
101
200
18. —
1.55
21. 65% 0.65
22. 100%
0.505
1
79
100
1
7. 25% —
4
1
11. 225% 9
—, or 2—
4
4
3. 0.79 —
11
50
15. —
3
1—
4
19
8. 38% —
50
12. 0.5% 1
—
200
4.
1.75
17
0.68
25
0.22
16.
—
19. 10% 0.1
20.
27% 0.27
23. 0.8%
24.
350%
28.
1.4 140%
0.008
3.5
Write the decimal or fraction as a percent.
25. 0.35 35%
26. 0.91 91%
27. 0.5 50%
29. 0.02 2%
30. 0.006
31. —
7
8
33. —
87.5%
0.6%
12%
32.
—
17
85%
20
11
2
550%
36.
—
1
16
35. —
5
6
—
—
38. Which is greater, 11.1% or 0.1? 0.1
34. — 6.25%
5
6
3
25
37. Which is greater, — or 83%? —
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23 57.5%
40
Topic 2.5