Question

express 2.015 bar on 15 in the form of p/q where p and q are integers and q is not equal to 0​

Answer 1

Hey there!

Convert 2.01505015 into p/q form,

The periodicity is 3

Let us take the number as ' x '

Now, let us multiply the number ' x ' with 1000 because the periodicity is 3

x = 2.015015 ------------------------- ( 1 )

Multiply by 1000 on both sides

1000x = 2015.015015 ---------------------- ( 2 )

Let's subtract equation 1 from equation 2

1000x = 2015.015

x = 2.015

999x = 2013

x = 2013 / 999

The p/q form is 2013 / 999

Hope my answer help!

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