fractions and decimals

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