Numbers

4-24 Problem Solving

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The least common multiple of two numbers can help you find the the least common denominator of two fractions.  For example:

Multiples of 4 are: 4, 8, 12, 16, 20

Multiples of 5 are: 5, 10 15, 20, 25

The least common multiple of 4 and 5 is 20.

Therefore the least common denominator of 1/4 and 3/5 is 20.

 

Complete the following.  Fill in the multiplesThen name the least common denominator of each pair of fractions.

1/2 -  2, , 6, , , , , 16, 18

2/3 -  3, 6, , , , , 21

The least common denominator of 1/2 and 2/3 is .

 

5/6 -   6, , , , 30, 36, 42, 48, ,

7/10 - 10, , , , , 60

The least common denominator of 5/6 and 7/10 is .

 

3/4 - 4, 8, , , , , 28

1/5 - 5, , , , 25, ,

The least common denominator of 3/4 and 1/5 is .

 

1/5 - , , 15, 20, , ,

1/2 - , 4, 6, , ,

The least common denominator of 1/5 and 1/2 is .

 

1/4 - 4, , , 16, 20

5/12 - 12, 24,

The least common denominator of 1/4 and 5/12 is .

 

3/8 - , , 24, 32, ,

7/10 - 10, , , ,

The least common denominator of 3/8 and 7/10 is .

 

1/8 - 8, 16, , , , 48, 54

5/6 - , 12, 18, , , , ,

The least common denominator of 1/8 and 5/6 is .

 

2/5 - 5, 10, , , , , , ,

3/4 - , 8, , 16, 20,

The least common denominator of 2/5 and 3/4 is .

 

 

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