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Q3)

1) Reduce to simplest form:

48/60

Solution: Now in step to reduce the term to lowest or simplest form. For that we have to find HCF of 48 and 60

2 | 48

2  |  24 

 2  |  12

 2  |  6

 3  |  3 

      |  1 

Here factors are 2 x 2 x 2 x 2 x 3

 

2  | 60

 2 |  30 

 3 |   15

 5 |  5 

     |   1 

 

Here factors are 2 x 2 x 3 x 5

HCF = 2 x 2 x 3 = 12

Now divide numerator by 12 and denominator by 12 we get

(48/12) /  (60/12) = 4 / 5 This is the answer with lowest or simplest form of fraction 48/60

 

2. 84/98

Solution: Now in step to reduce the term to lowest or simplest form. For that we have to find HCF of 84 and 98

2 | 84

2  |  42

 3  | 21

 7  |  7

     |  1 

    

Here factors are 2 x 2 x 3 x 7

 

2  | 98

 7 |  49 

 7 |   7

Here factors are 2 x 7 x 7

HCF = 2 x 7 = 14

 

Now divide numerator by 14 and denominator by 14 we get

(84/14) /  (98/14) = 6 / 7 This is the answer with lowest or simplest form of fraction 84/98