Answer:
157 / 110
Step-by-step explanation:
1.42727........
1000x = 1427.2727.......
10x = 14.2727....... ( - )
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990x = 1413
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x = 1413 / 990
x = 157 / 110
Therefore,
1.42727........ in fraction is 157 / 110.
Answer:
[tex]\frac{157}{110}[/tex]
Step-by-step explanation:
We require 2 equations with the recurring digits placed after the decimal point.
let x = 1.4272727.. ( multiply both sides by 10 and 1000 )
10x = 14.2727.... (1)
1000x = 1427.2727.... (2)
Subtract (1) from (2) thus eliminating the recurring decimal
990x = 1413 ( divide both sides by 990 )
x = [tex]\frac{1413}{990}[/tex] = [tex]\frac{157}{110}[/tex]