Question

Write each of the following in the form of p/q in the simplest form and write the prime factors of q in each case.

a) 0.234234234

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Answer 1

Answer:

let x= 0.234234234...... (1)

multiply 100 both sides in equation 1

100x = 234.234234234........ (2)

equation 2-1

100x-x = 234.234234234...... - 0.234234234......

99x= 234.00

x= 234/99

Step-by-step explanation:

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Answer 2

Step-by-step explanation:

Let x=0.234(bar over 234 after decimal pt since it is non terminsting repeating) ..... 1

since there are 3 digits after decimal so, 1000x=234.234(again bar over 234 after decimal point).... 2

subtract 1from 2

1000x=234.234(bar over 234 after decimal pt)

- 1x=0.234(bar over 234 after decimal pt)

=234/999

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