6th Grade Math Textbook, Progress

(Marvins-Underground-K-12) #1

Compare Fractions


6-10


Compare: ^1114  ^1134 

To compare fractions with
like denominators,
compare the numerators.
The fraction with the greater
numerator is greater.

You can also use a number
line to compare.

Compare: ^78  ^34 

To compare fractions with
unlike denominators:


  • Find the least common
    denominator (LCD) of the
    fractions.

  • Use the LCD to rename the
    fractions as equivalent
    fractions with the same
    denominator.

  • Compare the numerators.


You can also use a number line
to compare fractions with unlike
denominators.

So ^78 ^34 .

?

?

0 1

0
14

5
14

11
14

14
14

13
14

11  13 ^1114 ^1134 

Remember: Values increase as you move right on a number line.
Values decrease as you move left.

The least common denominator (LCD) of
two or more fractions is the least common
multiple (LCM) of their denominators.

0
8

0
4

2
4

3
4

4
4

4
8

6
8

7
8

8
8

^78  Multiples of 8: 8 , 16, ...

^34  Multiples of 4: 4, 8 , 12, 16, ...

The LCD of ^78 and ^34 is 8.

^34 ? 8  ^34 ^22 ^68 


7 6, so ^78 ^34 .

LCM

1.1

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