1. Exercise Rename as an equivalent fraction with a denominator of 100.
1725
68 100

2. Exercise Rename as an equivalent fraction with a denominator of 100.
3 4
75 100

3. Exercise Rename as an equivalent fraction with a denominator of 100.
7 20
35 100

4. Exercise
Write the fraction as a decimal.
13 25
0.52

5. Exercise
Write the fraction as a decimal.
3 5
0.6

6. Percent
A percent is a ratio of a number to one hundred. The symbol for percent is %.

7. 75 100 =
3 x 25 4 x 25 =
3 4 =
75%

8. Converting a Percent to a Fraction
Express the percent as a fraction with the number over 100.
Reduce the fraction to lowest terms.

9. Example 1 Express 88% as a fraction in lowest terms. 88 100 =
22 x 4 25 x 4 =
22 25 =
88%

10. Example 2 1 2 Express 37 % as a fraction in lowest terms. 37.5 100 =
37 %
1 2
= 37.5 %
37.5 x x 10 =
375 1,000 =
375 ÷ ÷ 125 =
3 8 =

11. Example 3 1 3 Express 13 % as a fraction in lowest terms. 13 100 = 1 3 =
1 3
13 %
1 3
÷ 100
1 3 = 2 5
40 3 = x
2 15 =

12. Example
1750
Write 34% as a fraction.

13. Example
1 3
Write % as a fraction.
2275

14. Converting a Percent to a Decimal
Replace the percent sign with ÷ 100 (per hundred).
Move the decimal point two places to the left to divide by 100.

15. Example 4
Express 8% as a decimal. 8%
= 8 ÷ 100
= 0.08

16. Example 5 1 4 Express 32 % as a decimal. 32 % 1 4 = 32.25%
32 %
1 4
= 32.25%
= ÷ 100 =

17. Example
1 2
Write % as a decimal.
0.175

18. Example
2 3
Write 8 % as a decimal.
0.086

19. Example
4 5
Write % as a decimal.
0.008

20. Converting a Decimal to a Percent
Multiply by 1 in the form 100%.
Move the decimal point two places to the right. Affix the percent symbol.

21. Example 6
Express 2.4 as a percent.
2.4
= 2.4(100%)
= 240%

22. Example
Write 0.19 as a percent.
19%

23. Example
Write 2.3 as a percent.
230%

24. If the denominator of a fraction is 100, you can use the percent symbol instead of dividing by 100.

25. 43 100
= 43%

26. 4 5

27. Example 7 3 20 Express as a percent. 3 20 3 x 5 20 x 5 = 15 100 =
= 15%

28. Example 8
7 8
Express as a percent.

29. Example 8
0.875
6 4 60 56 40
0.875
= 87.5%

30. Example 9
5 2
Express as a percent.
2.5 4 10
2.5
= 250%

31. Example 10 5 12 Express as a percent. 12 5.00 0.41 4.8 20 12 8 0.41
0.41
4.8 20 12 8
0.41
8 12
= 0.41
2 3
= %
2 3

32. Example 11
5 8
Use a proportion to express as a percent.

33. Example
3 4
Write as a percent.
75%

34. Example
5 2
Write as a percent.
250%

35. Example
5 9
Write as a percent.
55 %
5 9
= 55.5%