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# Fractions And Decimals

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### Fractions And Decimals

1. 1. Fractions and Decimals<br />By: T.J. Riggs<br />
2. 2. Fraction Definition<br />An expression that indicates the quotient of two quantities such as 1/3.<br />
3. 3. Parts of a Fraction<br />Numerator- The number on top of the fraction<br />Denominator- The number on the bottom of the Fraction<br />
4. 4. Fraction Examples<br />1/3<br />2/5<br />6/7<br />10/11<br />
5. 5. Fraction Illustrations<br />
6. 6. Fraction Illustrations<br />
7. 7. Adding or Subtracting Fractions<br />To add or subtract two fractions together you must first find a common denominator. <br />Example: 1/2 + 1/6<br /> 1/2 = 3/6 <br />so, 3/6+ 1/6= 4/6 or 2/3 in simplest form<br />
8. 8. Adding Fractions<br />
9. 9. Subtracting Fractions<br />
10. 10. Now You Try<br />¼ + 1/8 =<br />3/8<br />Great Job!<br />
11. 11. Multiplying Fractions<br />Simplify the fractions if not in lowest terms. <br />Multiply the numerators of the fractions to get the new numerator. <br />Multiply the denominators of the fractions to get the new denominator. <br />Simplify the resulting fraction if possible.<br />Example: <br />
12. 12. Now You Try<br />¾ X 6/7 =<br />18/28 0r 9/14<br />Your Getting Good!!<br />
13. 13. Decimal Definition<br />A fraction with an unwritten denominator of 10 or some power of ten, indicated by a decimal point<br />
14. 14. Decimal Examples<br />.1<br />.25<br />.125<br />.87<br />
15. 15. Adding and Subtracting Decimals<br />To add or subtract decimals you must line up the decimals <br />
16. 16. Your Turn<br />5.8 + 4.98+ 76.321=<br />87.101<br />Outstanding!!!!!!!<br />
17. 17. Multiplying Decimals<br />Multiply the numbers just as if they were whole numbers. <br />Line up the numbers on the right - do not align the decimal points. <br />Starting on the right, multiply each digit in the top number by each digit in the bottom number, just as with whole numbers. <br />Add the products. <br />Place the decimal point in the answer by starting at the right and moving a number of places equal to the sum of the decimal places in both numbers multiplied<br />
18. 18. Example<br />
19. 19. Now You Try<br />6.8 X 6.3 =<br />42.84<br />Fantastic!!!<br />
20. 20. Relationship Between Decimals and Fractions<br />Both represent a part of a whole<br />A fraction is based on the number into which the whole is divided(the denominator).  The numerator (the top) is the PART, the denominator (the bottom) is the WHOLE.<br />A decimal is based on the number in terms of tenths, hundredths, thousandths, etc.<br />
21. 21. Converting Fractions to Decimals<br />Divide the denominator (the bottom of the fraction) into the numerator (the top of the fraction). Place a decimal point after the number inside the division &quot;box&quot; and attach as many zeros as necessary to handle the division.  If the quotient does not come out evenly, follow any rounding instructions.<br />
22. 22. Example<br />
23. 23. Now You Try<br />¾=<br />.75<br />Nice work!<br />
24. 24. Converting Decimals To Fractions<br /> Count the decimal places of the decimal starting from the decimal point. If there is one decimal place, place the number over 10 and reduce. If there are two decimal places, place the number over 100 and reduce. If there are three decimal places, place the number over 1000 and reduce.  Etc.  (This is really just using your knowledge of place value to name the denominator!)<br />
25. 25. Example<br />
26. 26. Your Turn!!!!!!!!!!!!!<br />.25 =<br />25/100 = ¼<br />Your So Smart!<br />
27. 27. Fractions and Decimals Online<br />http://jamit.com.au/fraction-games.htm<br />http://www.homeschoolmath.net/online/fractions.php<br />http://www.sheppardsoftware.com/math.htm<br />http://www.learn-with-math-games.com/online-fraction-games.html<br />
28. 28. Resources<br />www.math.com/school/subject1/lessons/S1U4L4GL.html<br />www.mccc.edu/~kelld/CompFDP.htm<br />www.thefreedictionary.com/fraction<br />www.images.google.com<br />www.yourdictionary.com/decimal<br />