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2 years ago

Express 3.222......in p/q form

Mathematics

1 answer:

beks73 [17]2 years ago

6 0

Answer:

3.22222...... = $\frac{29}{9}$

Step-by-step explanation:

In this question we have to convert the number given in recurrent decimals into fraction.

Recurrent decimal number is 3.22222.......

Let x = 3.2222......... -------(1)

Multiply this expression by 10.

10x = 32.2222........... -------(2)

Now subtract the expression (1) from (2),

10x = 32.22222.....

9x = 29

x = $\frac{29}{9}$

Therefore, recurrent decimal number can be written as $\frac{29}{9}$ which is in the form of $\frac{p}{q}$ .

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Express 3.222......in p/q form​

Express 3.222......in p/q form