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Lecture Comments (1)

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Post by Michael Trow on September 24, 2012

57/100 is obviously 57 per cent you don't need to further complicate it by dividng 57 by a hundred. 1 percentile is 1/100 so you do not need to do any further calculations

Fractions, Decimals, and Percents

  • You can write a percent in different forms, such as a ratio, a fraction, and a decimal.
  • The word “of” signals multiplication, and the number that follows “of” is the denominator or divisor.
  • To convert a fraction to a decimal, divide the numerator by the denominator.
  • To convert a decimal to a fraction, place the digits over their corresponding place value, then simplify if necessary. For example: 0.3 = 3/10, 0.03 = 3/100, 0.003 = 3/1000.
  • To convert a decimal to a percent, move the decimal to the right two places.

Fractions, Decimals, and Percents

Write 58% as a fraction.
  • 58% = [58/100] =
[29/50]
Write 90% as a fraction
  • 90% = [90/100] =
[9/10]
Write 75% as a fraction
  • 75% = [75/100] =
[3/4]
Write [4/25] as a percent.
  • [(4 ×4)/(25 ×4)] =
  • [16/100] =
16%
Write [7/20] as a percent.
  • [(7 ×5)/(20 ×5)] =
  • [35/100] =
35%
Write 0.4 as a percent.
  • 0.4 ×100% =
40%
Write 0.09 as a percent.
  • 0.09 ×100% =
9%
Write 30% as a decimal and a fraction.
  • As a decimal: 30% ÷ 100% =
  • 0.3
  • As a fraction: 30% = [30/100] =
[3/10]
Write [6/15] as a decimal and a percent.
  • As a decimal: 15|  6.0   =
  • 0.4
  • As a percent: 0.4 ×100% =
40%
Write 43% as a fraction and a decimal.
  • As a fraction: 43% = [43/100]
  • As a decimal: 43% ÷100% =
0.43
A group of adults were surveyed for their relationship status. 20 were single, 7 were in an open relationship, and 28 were in a closed relationship.
a) How many adults were surveyed?
  • a) 20 + 7 + 28 =
55 adults
A group of adults were surveyed for their relationship status. 20 were single, 7 were in an open relationship, and 28 were in a closed relationship.
b) What fraction of adults were single?
  • b)[20 single/55 total] =
[4/11]
A group of adults were surveyed for their relationship status. 20 were single, 7 were in an open relationship, and 28 were in a closed relationship.
c) What decimal, to the nearest hundredth, of adults were in an open relationship?
  • c)[7 open/55 total] =
  • 55|  7.000   =
0.13
A group of adults were surveyed for their relationship status. 20 were single, 7 were in an open relationship, and 28 were in a closed relationship.
What percent, to the nearest ones place, of adults were in a closed relationship?
  • d)[28 closed/55 total] =
  • 55|  28.00   =
  • 0.51 ×100% =
51%

*These practice questions are only helpful when you work on them offline on a piece of paper and then use the solution steps function to check your answer.

Answer

Fractions, Decimals, and Percents

Lecture Slides are screen-captured images of important points in the lecture. Students can download and print out these lecture slide images to do practice problems as well as take notes while watching the lecture.

  • Intro 0:00
  • What You'll Learn and Why 0:06
    • Topics Overview
  • Vocabulary 0:24
    • Percent
  • Compare a Fraction to a Decimal to a Percent 0:35
    • Example: 31 out of 100
  • Write a Percent as a Fraction 1:11
    • Example: Write 47% as a Fraction
    • Example: Write 25% as a Fraction
  • Write a Fraction as a Percent 2:38
    • Example: Write 2/10 as a Percent
    • Example: Write 57/100 as a Percent
    • Example: Write 3/25 as a Percent
  • Write a Decimal as a Percent 4:48
    • Example: Write 0.85 as a Percent
    • Example: Write 0.3 as a Percent
    • Example: Write 0.04 as a Percent
  • Extra Example 1: Write Percent as Decimal and Fraction 5:34
  • Extra Example 2: Write Fraction as Decimal and Percent 6:47
  • Extra Example 3: Write Percent as Fraction and Decimal 7:41
  • Extra Example 4: Fraction, Percent, and Decimal of Students 8:36