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Worksheet on Standard form of a Rational Number

Practice the questions given in the worksheet on standard form of a rational number. We know, a rational number a/b is said to be in standard form if a and b are integers having no common divisor other than 1 and b is positive.

For examples: Convert the rational number 33/-44 in standard form.

33/-44 = 33 × (-1)/(-44) × (-1) = -33/44

The greatest common divisor of 33 and 44 is 11.

Now, dividing the numerator and denominator of 33/-44 by 11, we get

Thus, -33/44 = (-33) ÷ 11/44 ÷ 11 = -3/4

Therefore, the standard form of -33/44 is -3/4.

The questions are based on expressing a given rational number in the standard form.

1. Write each of the following rational numbers in the standard form:

(i) 3/15

(ii) -12/44

(iii) 299/-161

(iv) -63/-210

2. Convert the following rational numbers in the standard form:

(i) 39/-91

(ii) -20/-36

(iii) 68/-119

(iv) -195/275

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

Answers:

1. (i) 1/5

(ii) -3/11

(iii) -13/7

(iv) 3/10

2. (i) -3/7

(ii) 5/9

(iii) -4/7

(iv) -39/55

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Worksheet on Equivalent Rational Numbers