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Fractions, Decimals, Percents. Changing fractions to decimals Divide the top (numerator) by the bottom (denominator)! Copyright © 2000 by Monica Yuskaitis.

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Presentation on theme: "Fractions, Decimals, Percents. Changing fractions to decimals Divide the top (numerator) by the bottom (denominator)! Copyright © 2000 by Monica Yuskaitis."— Presentation transcript:

1 Fractions, Decimals, Percents

2 Changing fractions to decimals Divide the top (numerator) by the bottom (denominator)! Copyright © 2000 by Monica Yuskaitis

3 Expressas a decimal.

4 Expressas a decimal.

5 Convertto a decimal..

6 . Convertto a decimal.

7 Changing Decimals to Percents Copyright © 2000 by Monica Yuskaitis

8 Express 0.375 as a percent Move decimal point 2 places to the right and add the % sign. Convert 2.867 to a percent

9 Convert decimals to percents Make sure there are at least two digits at the decimal points; add zero where needed (this does not change the value of the number).

10 Changing Percents to Decimals Copyright © 2000 by Monica Yuskaitis

11 Express 56.25 % as a decimal Move decimal point 2 places to the LEFT and remove the % sign.

12 Express the percents as decimals

13 Worksheet Copyright © 2000 by Monica Yuskaitis

14 How to Change Fractions to Percents Step 1 - Divide the denominator into the numerator. 3 4

15 Copyright © 2000 by Monica Yuskaitis How to Change Fractions to Percents Step 2 – Place a decimal in your quotient exactly above the decimal. 3 4 Putting the decimal in the right spot is important. 4)4) 3.00.

16 Copyright © 2000 by Monica Yuskaitis How to Change Fractions to Percents Step 3 – Divide exactly like you would with long division. 3 4 Great job! 4)4) 3.00. 7 2 8 20 5 20

17 Copyright © 2000 by Monica Yuskaitis How to Change Fractions to Percents Step 4 – Move the decimal 2 places to the right and change the decimal to a percent sign. 3 4 Now wasn’t that easy!. 75% =

18 Copyright © 2000 by Monica Yuskaitis You try: Change this fraction to a percent 1 5 The first step is to divide the denominator into the numerator. 5)5) 1

19 Copyright © 2000 by Monica Yuskaitis Change this fraction to a percent 1 5 The second step is to add a decimal & 2 zeros after the dividend. 5)5) 1.00

20 Copyright © 2000 by Monica Yuskaitis Change this fraction to a percent 1 5 The third step is to place the decimal in the quotient directly above the decimal. 5)5) 1.00.

21 Copyright © 2000 by Monica Yuskaitis Change this fraction to a percent 1 5 The fourth step is to divide using long division. 5)5) 1.00.2 10 00 0 00 0

22 Copyright © 2000 by Monica Yuskaitis Change this fraction to a percent 1 5 The fifth step is to move the decimal point 2 places to the right and change it to a percent sign. 5)5) 1.00. 2 10 00 0 00 0 %

23 Express fractions as percents by long division

24 Changing decimals to fractions Find the place value of the last number. That is the denominator! Copyright © 2000 by Monica Yuskaitis

25 Convert decimal to base 10 fraction; simplify

26

27 Changing a percent to a fraction Percents are always over 100!!

28 Express percents to fractions by dividing by 100

29

30 Decention Game http://www.mathplayground.com/Decention/ Decention.html Copyright © 2000 by Monica Yuskaitis

31 Worksheet

32 Matching Game http://www.bbc.co.uk/skillswise/numbers/frac tiondecimalpercentage/comparing/comparin gall3/game.shtml

33 Jeopardy game http://www.math-play.com/Fractions- Decimals-Percents-Jeopardy/fractions- decimals-percents-jeopardy.html http://www.math-play.com/Fractions- Decimals-Percents-Jeopardy/fractions- decimals-percents-jeopardy.html

34 Large and small percents Change to fractions (remember percents are always over 100!). Change to decimals (move decimal 2 places to the left). 1. 0.4% 2. 175% 3. 1/6%

35 Change to fractions (remember percents are always over 100!). Change to decimals. 4. 254% 5. 0.05% 6. 5/8%

36 8-4 Study Guide

37 Review for test! You will need to know how to convert between fractions, decimals, and percents: including large and small percents! Copyright © 2000 by Monica Yuskaitis


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