Question

change 5.2
reccuring decimals to a vulgar fractions
​

Answer 1

Answer:

5/9

Step-by-step explanation:

Let n = 5.2

n = 5.222 ----------- (i)

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

Therefore, 10n = 5.22 ----------- (ii)

Subtracting (i) from (ii) we get;

10n - n = 5.22 - 0.22

9n = 5

n = 5/9 [dividing both the sides of the equation by 9]

Therefore, the vulgar fraction = 5/9

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