show that repeating decimal 1.27 is a rational number.
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1.27= 127/100
rational number means p/q where p not = 0 where p and q are integer
rational number means p/q where p not = 0 where p and q are integer
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x=1.272727.............(1)
multiply both sides by 100
100x=100*1.2727.......
100x=127.2727.....
100x=126+1.272727......
100x=126+x [from (1)]
100x-x=126
99x=126
x=126/99=42/33
=14/11
Hope it helps
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