express each of the following rational number as a non- terminatary reccuring decimal (a) 7/3 (b) -5/7
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9th
Maths
Number Systems
Real Numbers and their Decimal Expansion
If 0.2 41 is expressed as a...
MATHS
If 0.241 is expressed as a rational number in reduced form, then the sum of the values of the numerator and denominator is
ANSWER
Let x be 0.24141...
=>10x=2.4141...(i)
=>10x×100=241.4141..
=>1000x=239+2.4141
=>1000x=239+10x (from i)
=>1000x−10x=239
=>x=990239
Therefore, the sum of the numerator and denominator is
239+990=1229
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