Question

Express 14.5 bar on p/q form

Answer 1

Answer:

14.5 bar p/q form is 29⁄50

145/10=145÷5/10÷5

145/10=29⁄50

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Answer 2

$14.\overline5$ can be expressed in p/q form as $\frac{131}{9}$

Step-by-step Explanation:

Given:

A recurring decimal, $14.\overline5$

To be found:

To express the given number in its p/q form

Solution:

We know that, $14.\overline5=14.555555...$

So, let $x=14.555555...$   -----------(1)

Multiplying (1) by 10 on both sides, we get

$10x=145.555555...$   -----------(2)

Now, subtracting (1) from (2), we get

$10x-x=(145.555555...) -(14.555555...)\\\implies 9x=131$

Simplifying, we get

$x=\frac{131}{9}$

Therefore, the number 14.5 bar, denoted as $14.\overline5$ can be expressed in p/q form as 131/9.

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