1. Fractions, Decimals, and Percents
50%
Fractions, Decimals, and Percents
.25
1/4
3/4
.50
25%
.75
75%
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2. When converting fractions to decimals think about money.
¼ of a dollar is spelled 1 QUARTER of a dollar
A quarter IS ¼ of a dollar.
It takes 4 quarters to make a dollar.
So .25 is 25 cents.
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3. So what do you think the percentage of .25 cents (or a quarter)
There are 100 cents in a dollar.
100 cents is 100% of a dollar.
So what do you think the percentage of .25 cents
(or a quarter)
is to a dollar?
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4. All numbers behind decimal points are the same in percentages.
You’re right if you said .25
(or a quarter)
is 25 percent of a dollar!
All numbers behind decimal points are the same in percentages.
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5. 50 is 50 cents, and 50% of a dollar
.50 is 50 cents, and 50% of a dollar. .75 is 75 cents, and 75% of a dollar. .32 is 32 cents, and 32% of a dollar.
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6. So what do you think the percentage of .25 cents (or a quarter)
There are 100 cents in a dollar.
100 cents is 100% of a dollar.
So what do you think the percentage of .25 cents
(or a quarter)
Is to a dollar?
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7. Changing Fractions to Decimals
To change fractions to decimals all you do is divide the numerator BY the denominator. For example … ½ = 2 1 = 0.5 Where 1 is the numerator and 2 is the denominator.
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8. What is ½ of a dollar. You just did the problem in the previous slide
What is ½ of a dollar? You just did the problem in the previous slide. ½ of a dollar is HALF of a dollar, or 2 into 1. The answer was .50, or 50 cents. or 50 %
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9. ¾ of a dollar is 3 divided BY 4. 4 3 =0. 75. 75 is ¾ of a dollar
¾ of a dollar is 3 divided BY = is ¾ of a dollar. .75 is 75 cents. .75 is 75%
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10. You can also multiply. 25 by 3 to get the same answer
You can also multiply .25 by 3 to get the same answer! 25 cents is a QUARTER or a dollar .75 is 3 QUARTERS of a dollar.
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11. You can convert ANY fraction to a decimal by dividing the numerator BY the denominator.
Here are some more examples: 3/5 = 5 3 = 0.6 Where 3 is the numerator and 5 is the denominator. 2/9 = 9 2 = Where 2 is the numerator and 9 is the
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12. Did you notice how the answer kept going on and on in 2/9 being turned into a decimal?
2/9 = 9 2 = When that happens, round up or down, depending on the answer in the thousandth’s place In this case, the number in the thousandth’s place is a 2. When a number is LESS than 5, it is rounded down. So .222 will be simplified to .22.
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13. What happens when the number in the thousandth’s place is 5 or greater?
5/8 = 8 5 5/8 = .625 Look at the number in the thousandth’s place. It is 5 or greater When a number is 5 or greater you round up to the next number. So .625 is rounded to .63.
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14. Now You Try It! Convert the following fractions into decimals:
2/3 =
a) .30
b) .67
c) .15
d).33
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15. 3/8 =
a) .27
b) 2.7
c) 3.8
d).38
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16. 4/5=
a) .13
b) .12
c) .80
d).20
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17. =1/7
a) .01
b) .14
c) .70
d) .02
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18. =5/8
a) .16
b) .27
c) .63
d) .71
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19. Converting Fractions to Decimals
To change fractions to decimals all you do is divide the numerator by the denominator,
An example is ½ = 1÷2 = 0.5
Where 1 is the numerator and 2 is the denominator.
More examples are:
3/5 = 3÷5 = 0.6
2/9 = 2÷9 = 0.222
Now try to convert the following fractions into decimals:
1) 2/3
2) 3/8
3) 4/5
4) 1/7
5) 5/8
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20. Converting Fractions to Decimals/Answer Key
To change fractions to decimals all you do is divide the numerator by the denominator,
An example is ½ = 1÷2 = 0.5
Where 1 is the numerator and 2 is the denominator.
More examples are:
3/5 = 3÷5 = 0.6
2/9 = 2÷9 = 0.222
Now try to convert the following fractions into decimals:
1) 2/3 = .67, or 67 percent
2) 3/8 = .38, or 38 percent
3) 4/5= .80, o4 80 percent
4) 1/7= ..14, or 14 percent
5) 5/8 =.63, or 63 percent
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21. Covert the following fractions to decimals
1) ¾ 6) 7/12
2) 1/ ) 5/8
3) 5/ ) 4/9
4) 2/ ) 3/7
5) 9/ ) 7/8
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22. Covert the following fractions to decimals/Answer Key
1) ¾ = .75, or 75% 6) 7/12 = ..58, or 58%
2) 1/8=.13 or 13% 7) 5/8=.63, or 63%
3) 5/7= .71, or 71% 8) 4/9=.44, or 44%
4) 2/5=.40, or 40% 9) 3/7=..43, or 43%
5) 9/16=.56, or 56% 10) 7/8= .88, or 88%
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