Question

expresss the recurring decimal 3.17 in p/q form

Answer 1

Please refer to the above attachment for full solution .

$3.17 \: recurring \: = \frac{314}{99}$

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Answer 2

Hey there!

3.171717 is in an irrataional form, we will have to convert it into rational to get it into p/q form.

3.171717 has the recurring decimal in 2 points.

So, let us take this number as x

Then, lets multiply the number with 100 as it has two decimal recurring points.

Then,

x = 3.1717
100x = 317.17

100x = 317.17
x = 3.1717

Let's subtract both the equations.

99x = 314

x = 314 / 99

p/q form of 3.1717171717 is 314/99

Hope my answer helps!