Represent 0.98333333… in a rational form. After obtaining the rational form, flip the numerator and denominator. Is it still a recurring fraction? [4 MARKS]

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Solution

Concept : 2 Marks
Calculation : 2 Marks

Let $x = 0.98 ¯ 3$

$100 x = 98. ¯ 3$

$1000 x = 983. ¯ 3$

$H e n c e 900 x = 885$

$x = \frac{885}{900}$

$x = \frac{59}{60}$

After fliping the numerator and denominator, the fraction becomes $x = \frac{59}{60}$ Since the denominator is not a multiple of 2 or 5, hence it is recurring.

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Question 98

Solve the following:

If numerator is 2 less than denominator of a rational number and when 1 is substracted from numerator and denominator both, the rational number in its simplest form is $\frac{1}{2}$ . What is the rational number?

Q. The denominator of a rational number is greater than its numerator by

6

. If the numerator is increased by

5

and the denominator is decreased by

3

, the number obtained is

\frac{5}{4}

. Find the rational number.

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Represent 0.98333333… in a rational form. After obtaining the rational form, flip the numerator and denominator. Is it still a recurring fraction? [4 MARKS]

Concept : 2 Marks Calculation : 2 Marks Let x=0.98¯3 100x=98.¯3 1000x=983.¯3 Hence 900x=885 x=885900 x=5960 After fliping the numerator and denominator, the fraction becomes x=5960 Since the denominator is not a multiple of 2 or 5, hence it is recurring.