Mathematics
Express the following recurring decimals as vulgar fractions :
(i)
(ii)
Rational Irrational Nos
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Answer
(i) Let x = = 1.3454545 …
So multiplying both sides of (i) by 10
we get,
10x = 13.4545…
Again multiply by 100 on both sides ,
1000x =1345.4545…..
Subtracting (ii) from (iii), we get
1000x - 10x = 1345.4545… - 13.4545…
990x = 1332
x = =
which is in the form of , q ≠ 0
(ii) Let x = = 2.357357…
So multiplying both sides of (i) by 1000,
we get,
1000x = 2357.357357…
Subtracting (i) from (ii), we get
1000x - x = 2357.357357… - 2.357357…
999x = 2355
x =
which is in the form of , q ≠ 0.
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