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Fractions, Decimals, and Percents

Objective:

1.Students will be able to convert fractions to percents orally and in writing.
2.Students will be able to convert decimals to fractions orally and in writing.
3.Students will be able to convert percents to fractions orally and in writing.

Procedure:

1.Review what a fraction, decimal, and percent is.
2.Use the whiteboard to show the following examples to help the students with
the various concepts.

•Converting Fractions to Percents
•Change the denominator in the fraction so it is 100, whenever possible
•Multiply numerator and denominator by the same number to keep the
ratio the same when changing the denominator.

•Examples:
•85/100 = 85%
•64/100 = 64%
•4/50 = multiply numerator and denominator by 2 = 8/100 = 8%
•2/4 = multiply numerator and denominator by 25 = 50/100 = 50%
•3/5 = multiply numerator and denominator by 20 = 60/100 = 60%
•9/10 = multiply numerator and denominator by 10 = 90/100 = 90%
•7/7 = numerator and denominator are the same = 1 = 100%

•Converting Percents to Fractions
•Change percent into a fraction with 100 as the denominator
•Always reduce the fraction when possible
•Examples:
•25% = 25/100 = divide numerator and denominator by 25 = ¾
•13% = 13/100 = 13 is prime and 100 is not divisible by 13; you
cannot reduce fraction any farther
•20% = 20/100 = divide numerator and denominator by 20 = 1/5
•54% = 54/100 = divide numerator and denominator by 2 = 27/100

•Converting Decimals to Fractions
•Decimal place value tells you whether to make your fraction over 10,
100, 1000, etc. (use the LAST place value of the decimal except if it is
a zero)
•Always reduce the fraction when possible
•Examples:
•.2 = decimal in the tens place, so fraction is over 10 = 2/10 which
reduces to 1/5
•.32 = decimal is in the hundreds place, so fraction is over 10 =
32/100 which reduces to 8/25
•.15 = decimal is in the hundreds place, so the fraction is over 100 =
15/100 which reduces to 3/20
•.7 = decimal is in the tens place, so the fraction is over 10 = 7/10
and it does not reduce
•.06 = decimal is in the hundreds place, so the fraction is over 100 =
6/100 which reduces to 3/50

3.Ask the students if they have any questions about the concepts and answer them
for the students.
4.Allow the students to work on their assignment for the rest of the class period.
Their assignment is page 163 problems 13-38. Whatever the students do not
complete in class becomes homework; this is due the next class day.

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