AlbertEin2006
Answered

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Please help
1. Express the following recurring decimal as fractions in their simplest forms
(i) 1.42727............

Sagot :

Answer:

157 / 110

Step-by-step explanation:

1.42727........

1000x = 1427.2727.......

10x = 14.2727....... ( - )

___________________

990x = 1413

___________________

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]

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