Represent 2.57 ( bar on 7) in the form of p/q where Q is un equal to 0.
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2.57 ( bar on 7) in the form of p/q where Q ≠ 0 is 161/45
We can represent 2.57 ( bar on 7) in the form of p/q where Q is un equal to 0 as follows:
let x= 2.577777777777......
we have, 10x = 25.7777777777.......
we have, 100x = 257.7777777777.........
and let's subtract 10x from 100x
⇒ 100x - 10x = 257.7777777777......... - 25.7777777777.......
⇒ 90x = 232
⇒ x = 232/ 90
⇒ x = 161/45
Therefore, 2.57 ( bar on 7) in the form of p/q where Q ≠ 0 is 161/45
a number that can be represented in the form of p/q where q ≠ 0, is called a rational number.
so, 2.57 ( bar on 7) is a rational number that can be represented in the form of p/q where q ≠ 0 is equal to 161/45
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