If numerator is 2 less than the denominator of a rational number and when 1 is subtracted from numerator and denominator both, the rational number in its simplest form is 1/2. What is the rotational number

Solution:

If numerator is 2 less than the denominator of a rational number and when 1 is subtracted from numerator and denominator both, the rational number in its simplest form is 1/2.

We have to find the rational number.

Let the denominator of the rational number be x.

Numerator = x - 2

According to the question,

[(x - 2) - 1]/(x - 1) = 1/2

On cross multiplication,

2[(x - 2) - 1] = 1(x - 1)

2(x - 2) - 2(1) = x - 1

2x - 4 - 2 = x - 1

2x - 6 = x - 1

By transposing,

2x - x = -1 + 6

x = 5

Now, x - 2 = 5 - 2 = 3

Therefore, the rational number is 3/5

✦ Try This: If numerator is 3 less than the denominator of a rational number and when 2 is subtracted from numerator and denominator both, the rational number in its simplest form is 1/3. What is the rotational number

☛ Also Check: NCERT Solutions for Class 8 Maths Chapter 2

NCERT Exemplar Class 8 Maths Chapter 4 Problem 98

If numerator is 2 less than the denominator of a rational number and when 1 is subtracted from numerator and denominator both, the rational number in its simplest form is 1/2. What is the rotational number

Summary:

If numerator is 2 less than the denominator of a rational number and when 1 is subtracted from numerator and denominator both, the rational number in its simplest form is ½. The rational number is 3/5

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