Fractions * Decimals * Percents

1. Fractions * Decimals * Percents The student will learn how to convert various fractions, decimals and percentages

2. Converting fraction to decimal • To convert fraction to decimal you divide the numerator by the denominator 3 5 3 5 .6 5 3.0 3 0 .6

3. Converting fraction to decimal .33 1/3 1 .33 3 3 1.0 9 10 or 9 1 .333

4. Converting decimals to fractions Write a fraction, using the decimal number as the numerator and a power of 10 (10,100,1000 etc.) corresponding to the place value of the last digit of the decimal # as the denominator Example 1 : .25 as a fraction 25 is the numerator In .25 the last digit is in the hundredths place, therefore 100 is the denominator 25 ÷ 25 = 1 100 ÷ 25 = 4 1/4

5. Converting decimals to fractions • Example 2: 4.375 set aside the 4 and convert the .375 into a fraction 375 is the numerator. In the decimal # .375, 5 is the last digit & is in the thousandths place, therefore 1000 is the denominator. The greatest divisor common to both numerator & denominator is 125. 375 ÷ 125 = 3 The reduced fraction is 3/8 1000 ÷ 125 = 8 Annex the 4 for 4 3/8

6. Percents to fraction to decimal % means hundredths – 100’s % - sign for percent Every % may be written a decimal or fraction Example : 1% or .01 or 1/100

7. Percents to fraction to decimal When you change a % to decimal,you move the decimal 2 places LEFT ( drop the % sign)

8. Percents to fraction to decimal When you change a decimal to a %, you move the decimal 2 places RIGHT & add the % sign

9. Percent of a number • Change percent to a decimal # • % means hundredth • Multiply number by the decimal # 75% of $45.00 75% is 75/100 or .75 45 x.75 225 315 33.75 $33.75

10. Percent of a number 60% of $1,450.00 60% = .60 1450.00 60 870.0000 $870.00