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Name: _________________________________________ Date: _________________

Lesson 6-5: Fractions, Decimals, and Percents

|To Convert a Percent to a Fraction: |To Convert a Fraction to a Percent: |

|Write the percent as a number over 100 and simplify the fraction. |Method 1: Set up a Method 2: Make the fraction |

|Examples: |proportion. a decimal and convert to a |

|1) [pic] 2) [pic] |percent. |

|3) [pic] |Example: Example: |

|4) 4.25% = [pic] |[pic] [pic] |

|To Convert a Decimal to a Percent: |To Convert a Percent to a Decimal: |

|Move the decimal point to the right two places. |Move the decimal point to the left two places. |

|Examples: |Examples: |

|1) 0.85 = 85% 2) 4.5 = 450% |1) 48% = 0.48 2) 1.2% = 0.012 |

|3) 0.09 = 9% 4) 12.6 = 1,260% |3) 0.5% = 0.005 4) 134% = 1.34 |

[pic]

1) 12% 2) 5% 3) 17%

4) 72% 5) 150% 6) 2%

7) 825% 8) 0.6% 9) 1.8%

Decimal: Fraction:

[pic] [pic]

0.006

[pic]

[pic]

[pic]

[pic]

Extra Practice:

Express each percent as a fraction or mixed number in simplest form and as a decimal.

19) 55% 20) 21% 21) [pic] 22) 30%

Hint: Write as 5.5%.

23) 85% 24) 28.2% 25) 0.25% 26) 130%

[pic]

27) 0.65 28) 3.45 29). 0.01 30) 0.772

31) [pic] 32) [pic] 33) [pic] 34) [pic]

Fill in the following table:

Round to the nearest tenth, if necessary.

|Fraction |Decimal |Percent |

|[pic] | | |

| | |45% |

| |1.2 | |

| | |0.8% |

|[pic] | | |

| |0.65 | |

|[pic] | | |

| | |130% |

| |0.009 | |

Lesson 6-5 Word Problems

35) In an online survey, one-fifth of teenagers 36) At a restaurant, [pic]customers prefer fish

said that their favorite way of communicating sandwiches, 14% prefer rib sandwiches, and 0.12

with friends is by e-mail, 21% preferred using prefer chicken sandwiches. Which of these

their cell phones, and 0.15 favored instant messaging. groups is the largest?

which of these groups is the largest?

37) The pie chart below represents the percent of students in Mrs. Smith’s class who prefer certain types of

films. Use the pie chart to answer the following questions.

a. Which type(s) of film is preferred by [pic]of students?

b. Which type(s) of film is preferred by [pic]of students?

38) 60% of the rectangle below is shaded. What is the area of the shaded region? Explain how you know.

[pic]

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Multiply numerator and denominator by 10 to get rid of the decimal!

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