Worksheet on Lowest form of a Rational Number

Practice the questions given in the worksheet on lowest form of a rational number. We know, every rational number can be put in the lowest form if its numerator and denominator have common factor except 1.

1. Convert each of the following rational numbers in its lowest form:

(i) -12/30

(ii) -14/49

(iii) 24/-64

(iv) -36/-63

2. Determine whether the following rational numbers are in the lowest form or not: 
(i) -76/-48        

(ii) 79/65              

(iii) 32/102             

(iv) -17/37

3. Express each of the following rational numbers to the lowest form: 

(i) 7/70               

(ii) -36/180           

(iii) 132/-428        

(iv) -32/-56

4. Fill in the blanks:

(i) -5/6 = …./30 = …./42              

(ii) -4/-9 = …./18 = 12/….

(iii) 6/-13 = -12/…. = 24/….          

(iv) -6/…. = 3/11 = .…/-55

Answers for the worksheet on lowest form of a rational number are given below to check the exact answers of the above questions on converting a rational number to its simplest form.

Answers:

1. (i) -2/5

(ii) -2/7

(iii) -3/8

(iv) 4/7

2. (i) and (iii) are not in the lowest form,

(ii) and (iv) are in the lowest form              

3. (i) 7/10            

(ii) -1/5        

(iii) 33/-107     

(iv) 4/7

4. (i) -25 and -35          

(ii) 8 and 27            

(iii) 26 and -52  

(iv) -22 and -15

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