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Adding and Subtracting Fractions with like Denominators You know that the bottom number of a fraction tells how may parts each whole is divided into. In this picture each circle is divided into 4 parts so the bottom number for this fractions is 4.   4 We use or shade 5 parts so the top number of this fraction is 5.  The picture shows the fraction  5  .   4 In a fraction the bottom number has a special name.  The bottom number in a fraction is called the denominator.  The denominator or the bottom number in a fraction tells how many parts each whole is divided into.
What are the denominators in these fractions? ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],1 2 4 6 7 8 7 5 2 3
[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],You have learned to add fractions using pictures. + = + = + =
[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],+ = 4
[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],= 5 - = -
Let’s try another problem. ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],- = 2 - =
Here’s a new problem. ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],+ = + =
Your Turn ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],= = = = = + + - - - Check your work 6 5 7 3 4 6 7 4 5 4
[object Object],[object Object],[object Object],[object Object],= -
Some of these problems can be worked the way they are written but some cannot. Look at the denominators to decide, then write the numbers of the problems that can be worked the way they are written.  ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],- - - + + + = = = = = =
Check your work.  You can work problems 3 and 5 the way they are written. Remember, if you can’t copy the denominator of the fraction you are adding or subtracting you cannot work the problem the way it is written.  ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],- - - + + + = = = = = = 6 2 1 2 8 5 2 5
Look at these new problems. Write the numbers of the problems that can be worked the way they are written.  ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],- - - + + + = = = = = =
Check your work.   You can work problems 1, 4, and 6.  Now on your paper work the problems that can be worked the way they are written.  ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],1 .  6  5  1 8  8  8 4 .  2  1  1 3  3  3 6 .  4  3  7  6  6  6 - - + = = = = = = + - -
[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],+ + = = Let’s try one more.
[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],- =
Think about the picture of this problem when you work it.  ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],- = 1  1 3  3 - =
You have learned to work problems this way. ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],+ - + - = =
Your Turn ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Check your work.  Problems 3 and 5 cannot be worked the way they are written. Work problems 1, 2, and 4. ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],7 8 5 4 3 3

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Adding and subtracting fractions with like denominators

  • 1. Adding and Subtracting Fractions with like Denominators You know that the bottom number of a fraction tells how may parts each whole is divided into. In this picture each circle is divided into 4 parts so the bottom number for this fractions is 4. 4 We use or shade 5 parts so the top number of this fraction is 5. The picture shows the fraction 5 . 4 In a fraction the bottom number has a special name. The bottom number in a fraction is called the denominator. The denominator or the bottom number in a fraction tells how many parts each whole is divided into.
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