Express the following decimal expression into rational numbers

3.17

x=3.17

10x=31.7------>1

100x=317.7---->2

Below this I couldn't understand

2-1====>100x-10x=317.7-31.7

90x=286

;. x=286/90=143/45

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Solution

Dear student,
Let
x=3.17

10x=31.7------> equation no (1)

100x=317.7---->equation no (2)

Now

equation (1) - equation (2)

That is

100x-10x=317.7-31.7

90x=286

x=286/90
=143/45

I hope you understood

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