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Real Life Fractions. http://www.ed.gov/pubs/EarlyMath/8.jpg. When do we use fractions?. Cooking Measurement Telling time Money. What is a fraction?. Fractions show part of something. Such as pieces of a pizza, part of an hour, half a pound, a quarter of an dollar.

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Real life fractions

Real Life Fractions

http://www.ed.gov/pubs/EarlyMath/8.jpg


When do we use fractions
When do we use fractions?

  • Cooking

  • Measurement

  • Telling time

  • Money


What is a fraction
What is a fraction?

  • Fractions show part of something. Such as pieces of a pizza, part of an hour, half a pound, a quarter of an dollar.

  • The top of the fraction is the numerator. It tells the pieces.

  • The bottom of the fraction is the denominator. It tells how many make up a whole.


What the fraction looks like
What the fraction looks like.

Numerator 1 Part

Denominator 2 Whole/All parts


Equivalent fractions
Equivalent Fractions

Sometimes we can write a fraction more than one way. If we have 4 out of 6 slices of cake left we can write our fraction two ways, because 4/6 = 2/3.

4/6 is shaded and also

2/3 is shaded.

http://www.mathleague.com/help/fractions/fractions.htm#whatisafraction


Equivalent fractions1
Equivalent Fractions

Look to see if the numerator and denominator have a like factor. If they do, we can simplify the fraction. Examples: 3 and 9 have like factors, so 3/9 = 1/3.


Adding fractions
Adding Fractions

When we combine units the denominators need to bee the same. Meaning, when we add fractions, we have to have like denominators.

2 +3 = 53+ 6= 9

7 7 7 11 11 11


Common denominators
Common Denominators

  • If you are not given like denominators, you have to find the least common denominator.

  • Take your denominators, and factor them out.

  • Then, match up any common denominators. Pull one factor for each match. For example 2x2=4 and 2x3=6, so pull out one 2 since there is a 2 in each.


Common denominators1
Common Denominators

  • Next, account for the numbers not matched up. So for 4 and 6, we would account for the 2 and 3 that did not match up.

  • We would multiply all the numbers together. Meaning the 2 and 3, with the number we took out earlier, which was a 2.

  • So from 2 x 2 =4 and 2 x 3 = 6, our denominator would be 2x2x3=12.


Find the common denominator when given these two fractions
Find the common denominator when given these two fractions.

  • 1+ 2= ?

    3 9 ?

    Remember your denominators are 3 and 9.


If you put 9 you are right
If you put 9 you are right!

3 x 1 = 3 and 3 x 3= 9

One 3 matches up, so take it out. The rest does not, so take the remaining 3 and 1 out.

3 x 3 x 1 = 9


How to change into equivalent fractions
How to change into equivalent fractions.

Once you have found your common denominator, you need to find the equivalent fractions.

1 = 3 Because we need 9 as our denominator,

3 9 we multiply 3 x 3 to get 9. What ever we multiply the denominator by, we do the same to the numerator.



If you said 9 you are correct
If you said 9 you are correct!

3 = 9

4 12

Because 4 x 3 = 12, you have to

multiply the top by 3 also.

3 x 3 = 9



Exactly
Exactly!

3+ 2= 5

9 9 9

Try this one next:

2 + 1 =

3 5

Remember you need to find like denominators.


Did you get
Did you get:

2 + 1 = 13

3 5 15

Why? Your denominator has to be 15, because 3 and 5 have no like factors, so multiply 3 x 5 = 15.

10 + 3= 13

15 15 15


Congratulations
Congratulations!

You are on your way to mastering fractions.


Works cited
Works Cited

Picture on Page 1

  • http://www.ed.gov/pubs/EarlyMath/8.jpg

    Picture on Page 5

  • http://www.mathleague.com/help/fractions/fractions.htm#whatisafraction

    All other pictures clip art.


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