Question

3. Convert recurring decimal into vulgar fraction (i) 0:3 with bar bracket plz help chapter decimal
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Answer 1

Step-by-step explanation:

First write the decimal form by removing the bar from the top and put it equal to n (any variable).

(ii) Then write the repeating digits at least twice.

(iii) Now find the number of digits having bars on their heads.

● If the repeating decimal has 1 place repetition, then multiply both sides by 10.

● If the repeating decimal has 2 place repetitions, then multiply both sides by 100.

● If the repeating decimal has 3 place repetitions, then multiply both sides by 1000 and so on

Let n = 0.4

n = 0.444 ----------- (i)

Since, one digit is repeated after the decimal point, so we multiply both sides by 10.

Therefore, 10n = 4.44 ----------- (ii)

Subtracting (i) from (ii) we get;

10n - n = 4.44 - 0.44

9n = 4

n = 4/9 [dividing both the sides of the equation by 9]

Therefore, the vulgar fraction = 4/9