4.4 Changing a Percent to a Fraction or a Decimal 1 Objective
A. Writing Percents as fractions. A percent has an understood
denominator of 100. When converting from a percent, get rid of the
percent symbol (%). Since its meaning is to divide by 100, when
converting to fractions, divide by 100 by placing a 100 in its
denominator. Procedure: To convert a percent to a fraction Step
1:Rewrite the percent as a fraction with the percent in the
numerator and 100 in the denominator. Step 2:Reduce the fraction to
lowest terms. Example 1. Convert the following percents to
fractions. a. 7%b. 48%c. 125% Solution: Answers: Your Turn Problem
#1 Convert the following percents to fractions. a.4% b.24%
c.225%
Slide 2
4.4 Changing a Percent to a Fraction or a Decimal 2 Example 2.
Convert the following percents to fractions. Solution: Answers:
Procedure: Converting a percent to a fraction if the percent is a
mixed number Step 1:Rewrite mixed number as an improper fraction.
Instead of dividing by 100, multiply by the reciprocal, 1/100. Step
2:Reduce and Multiply. Your Turn Problem #2 Convert the following
percents to fractions.
Slide 3
4.4 Changing a Percent to a Fraction or a Decimal 3 Example 3.
Convert the following percents to fractions. Solution: Answers:
Procedure: Converting a percent to a fraction if the percent has a
decimal Step 1:Rewrite the decimal as a fraction or mixed number.
Step 2:Write the mixed number as an improper fraction and multiply
by 1/100. Step 2:Reduce and Multiply. Your Turn Problem #3 Convert
the following percents to fractions.
Slide 4
4.4 Changing a Percent to a Fraction or a Decimal 4 Objective
B. Writing percents as decimals. Converting a Percent to a Decimal
Hint: When you remove the percent symbol (%), you must divide by
100. Divide by 100 by using the shortcut of moving the decimal
point two places to the left. If no decimal point appears, insert
one to the right of the last digit; then move it two places to the
left. Procedure: To convert a percent to a decimal Step 1:Rewrite
without percent symbol. Move the decimal point two places to the
left. Insert leading zeros if necessary. Example 4. Convert the
following percents to decimals. Answers: Your Turn Problem #4
Convert the following percents to decimals.
Slide 5
4.4 Changing a Percent to a Fraction or a Decimal 5 Converting
a Percent that Contains a Fraction to a Decimal If the percent
contains a fraction, i.e. 7%, we need to convert the fractional
part to a decimal. Since = 0.75, 7%=7.75%. Then we can convert the
percent to a decimal by moving the decimal point two places to the
left and dropping the percent symbol. Example 5. Convert the
following percents to decimals. Answers: Your Turn Problem #5
Convert the following percents to decimals. Answers: The End B.R.
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