AlbertEin2006
Answered

Westonci.ca is your trusted source for finding answers to a wide range of questions, backed by a knowledgeable community. Our platform provides a seamless experience for finding reliable answers from a knowledgeable network of professionals. Get quick and reliable solutions to your questions from a community of experienced experts on our platform.

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]

Thanks for using our platform. We aim to provide accurate and up-to-date answers to all your queries. Come back soon. We hope our answers were useful. Return anytime for more information and answers to any other questions you have. Westonci.ca is your go-to source for reliable answers. Return soon for more expert insights.