Question

Express 4.32 (bar on 2) in the form p/q

Answer 1

HEYA ...

HERE IS YOUR ANSWER....

HERE x = 4.3222222...... --------1]

= 10x = 43.2---------------2]

now 2] - 1]

10x = 43.222...
-x = 4.3222...

= 9x = 38.9

== x = 38.9 /9
or u can write

= x = 389/90


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Answer 2

The number $\bf 4.3 \bar 2$ can be expressed as $\bf \red{\frac{389}{90} }$.

Given:

• $4.3 \bar 2$

To find:

• Express the number in p/q form.

Solution:

Step 1:

Let the number is x.

So,

$x = 4.32222....$

multiply x by 10 and 100.

$10x = 43.22222... \: \: \: \: eq1$

and

$100x = 432.2222... \: \: \: eq2$

Step 2:

Subtract eq2 and eq1.

$100x - 10x = 432.2222... -4 3.2222...$

or

$90x = 389.000...$

or

$90x = 389$

or

$\bf x = \frac{389}{90}$

Thus,

The number $\bf 4.3 \bar 2$ can be expressed as $\bf \frac{389}{90}$.

Learn more:

1) Express in the form of p/q

12.53bar +0.23bar

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2) Express 1.233333..... in p/qform where p and q are co-primes.

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