Question

Express the reccuring decimal 1.345454545........in p/q form

Answer 1

Given,
1.34545454545...
×=1.3454545454545..... eq1
multiplying eq1 with 100 and as well as 10 we get,
100x=1345.454545... eq2
10×=13.454545454... eq3
therefore,
subtracting eq2 and eq3
100x=1345.4545....
10x=13.45454545...
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90x=1332
x=1332/90