Name________________________ Period_____



Notes: Converting Fractions, Decimals, Percents

Name Period

To convert from a percent to a decimal: Divide by 100 and remove the % sign

[pic]

Practice: convert each percent to a decimal

1. 90% 2.) 35% 3.) 9% 4.) 115.9% 5.) 0.3%

To convert from a decimal to a percent: Multiply by 100 and add a % sign

[pic]

Practice: convert each decimal to a percent

6.) 0.128 7.) 0.007 8.) 0.06 9.) 0.82 10.) 5.64

To convert from a fraction to a decimal: Divide the numerator by the denominator

|To convert a fraction to a decimal, divide the numerator by the denominator. |

|Examples |

|[pic] [pic] [pic] [pic] [pic] [pic] [pic] [pic] 0.4 |

|[pic] [pic] [pic] [pic] [pic] [pic] [pic] [pic] [pic] [pic] [pic] |

|[pic] [pic] [pic] [pic] [pic] [pic] [pic] [pic] 2.4 |

Practice: convert each fractions to a decimal

11.) [pic] 12.) [pic] 13.) [pic] 14.) [pic] 15.) [pic]

To convert from a decimal to a fraction:

|Converting a terminating decimal into a fraction |

| If there is a whole number, just re-write it. |

|Determine the place value of the last digit behind your decimal point. Remember, all numbers to the right of the decimal point |

|are fractions with denominators 10, 100, 1,000, 10,000, 100,000, etc. |

|Write the place value of the last digit to the right of the decimal as the denominator of your fraction. |

|Write all the digits to the right of the decimal point as the numerator of your fraction. |

|Simplify if necessary. |

|Examples |

|[pic] |[pic] |

|One is the last digit to the right of the decimal point and is |Six is a whole number, so we can just re-write it. Two is the |

|in the hundredths place. It cannot be simplified. |last digit to the right of the decimal point and is the tenths |

| |place. Simplify the fraction. |

Practice: convert each decimal to a fraction in simplest form

16.) 0.003 17.) 4.45 18.) 6.84 19.) 9.452 20.) 0.9

To convert from a fraction to a percentage: Divide the top number by the bottom number, then multiply the result by 100, and add the % sign.

[pic]

Practice: convert each fraction to a percentage

21.) [pic] 22.) [pic] 23.) [pic] 24.) [pic] 25.) [pic]

To convert from a percentage to a fraction: A percent is a number out of 100, so place the percent over 100 and simplify.

| | |

|Change 62% into a fraction |Change 30% into a fraction |Change 15% into a fraction |

|[pic] |[pic] |[pic] |

Practice: convert each percent to a fraction in simplest form

26.) 90% 27.) 45% 28.) 225% 29.) 0.7% 30.) 6%

Converting Fractions, Decimals, Percents Practice

Name Period

1: On a math test, Mary got 7 questions right out of 8. Find her grade as a fraction, decimal and percent.

|Fraction |Decimal |Percent |

| | | |

2: Roby made 4 out of 15 shots in his basketball game. What fraction, decimal and percent of shots did he make?

|Fraction |Decimal |Percent |

| | | |

3: In Virginia, 1 person out of every 40 speaks an Asian language at home. What fraction, decimal and percentage of the population of Virginia speaks an Asian language at home?

|Fraction |Decimal |Percent |

| | | |

4: Approximately 26 out of 125 people surveyed keep a hairbrush in their car. What fraction, decimal and percentage of people surveyed do not keep a hairbrush in their car?

|Fraction |Decimal |Percent |

| | | |

5: Two-thirds of Kodiak Island’s 2 million acres has been set aside as a wildlife preserve for the Kodiak brown bear. What fraction, decimal and percentage of the island is a preserve?

|Fraction |Decimal |Percent |

| | | |

6: Before bears hibernate, their need for Calories increases 300%. Write 300% as a fraction and decimal.

|Fraction |Decimal |

| | |

7: A photographer developed from 35mm film is 428% larger than the negative. Express this percent as a fraction and decimal.

|Fraction |Decimal |

| | |

8: In 2000, about 0.3% of the population in the United States was Japanese. Write this percent as a fraction and decimal.

|Fraction |Decimal |

| | |

Write each of the following percents as a fraction and decimal.

9. 96% 10. 110% 11. 78.3%

12. 0.45% 13. 2.9% 14. 13.72%

15. 0.01% 16. 0.004% 17. 1%

Write each of the following decimals as fractions and percents.

18. 0.36 19. 0.56 20. 0.679

21. 1.9 22. 0.043 23. 5.08

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