2. Unit 2 Percentages
Percents

4. Convert 46% to a decimal 46 ÷ 100 = 0.46 46% = 0.46
To convert a percent to a decimal:
Divide the percent by 100
OR move the decimal point two places to the left to represent division by 100
We divide by 100 because a decimal represents the fractional part of a whole, and a whole percent is 100.
Convert 46% to a decimal
46 ÷ 100 = 0.46
46% = 0.46

5. To convert a fraction to a decimal:
Convert 3∕8 to a decimal.
3/8 = 8 √3.000‾
-24 60
-56 40
-40
To convert a fraction to a decimal:
Rewrite the fraction as a division problem and solve.

8. To convert a percent to a fractions: Write the percent over 100.
If the percent is not a whole number, multiply both the numerator and denominator by 10 for every number after the decimal.
Simplify
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9. Convert 25.4% to a fraction.
25.4 ∙ 10 = 254
∙ ,000
254 = 127
1,000 = 500

10. To convert a decimal to a fraction:
Write the decimal as a whole number over it’s place value.
For example: if the decimal
goes to the hundredths
place, write it as a fraction
over If it goes to the
thousandths place, write it
as a fraction over 1,000.
Simplify

11. Convert 0.36 to a fraction.
0.36 = thirty six hundredths
36 = 9
100 = 25

13. To convert a decimal to a percent:
Multiply the decimal by 100
OR move the decimal point two places to the right to represent multiplication by 100
We multiply by 100 because a decimal represents the fractional part of a whole, and a whole percent is 100.

14. Convert 0.35 to a percent.
0.35 ∙100 = 35%
0.35 = 35%

15. To convert a fraction to a percent:
Convert the fraction to a decimal through division and then follow the steps on the left
OR set up a proportion with the given fraction and the fraction x
100
Solve for X.

16. Convert 5 to a percent. 8
5 = = 62.5% 8
5 = x
100
100 ∙ 5 ∕ 8 = 62.5