Post on 22-Dec-2014
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Fractions and DecimalsBy: T.J. Riggs
Fraction DefinitionAn expression that indicates the quotient of two quantities such as 1/3.
Parts of a FractionNumerator- The number on top of the fraction
Denominator- The number on the bottom of the Fraction
Fraction Examples1/3
2/5
6/7
10/11
Fraction Illustrations
Fraction Illustrations
Adding or Subtracting FractionsTo add or subtract two fractions together you must first find a common denominator.
Example: 1/2 + 1/6 1/2 = 3/6 so, 3/6+ 1/6= 4/6 or 2/3 in simplest form
Adding Fractions
Subtracting Fractions
Now You Try¼ + 1/8 = 3/8
Great Job!
Multiplying FractionsSimplify the fractions if not in lowest
terms. Multiply the numerators of the fractions
to get the new numerator. Multiply the denominators of the fractions
to get the new denominator. Simplify the resulting fraction if possible.
Example:
Now You Try
¾ X 6/7 =18/28 0r
9/14Your
Getting Good!!
Decimal DefinitionA fraction with an unwritten denominator of 10 or some power of ten, indicated by a decimal point
Decimal Examples.1
.25
.125
.87
Adding and Subtracting DecimalsTo add or subtract decimals you must line up the decimals
Your Turn5.8 + 4.98+ 76.321=
87.101Outstanding!!!
!!!!
Multiplying DecimalsMultiply the numbers just as if they were whole
numbers. Line up the numbers on the right - do not align
the decimal points. Starting on the right, multiply each digit in the top
number by each digit in the bottom number, just as with whole numbers.
Add the products. 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
Example
Now You Try6.8 X 6.3 =
42.84Fantastic!!!
Relationship Between Decimals and FractionsBoth represent a part of a whole 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.
A decimal is based on the number in terms of tenths, hundredths, thousandths, etc.
Converting Fractions to DecimalsDivide 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 "box" and attach as many zeros as necessary to handle the division. If the quotient does not come out evenly, follow any rounding instructions.
Example
Now You Try
¾=.75
Nice work!
Converting Decimals To Fractions 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!)
Example
Your Turn!!!!!!!!!!!!!
.25 =25/100 = ¼
Your So Smart!
Fractions and Decimals Onlinehttp://jamit.com.au/fraction-games.htm
http://www.homeschoolmath.net/online/fractions.php
http://www.sheppardsoftware.com/math.htm
http://www.learn-with-math-games.com/online-fraction-games.html
Resourceswww.math.com/school/subject1/lessons/S1U4L4
GL.htmlwww.mccc.edu/~kelld/CompFDP.htmwww.thefreedictionary.com/fractionwww.images.google.comwww.yourdictionary.com/decimal