Question

2.13bar solve in p\q form

Answer 1

Answer:

Step-by-step explanation:

2.13=2.1313----

Multiply by 10 both side

100x=100×2.1313----

100x=213.1313----

100x=213.1313----

– X=2.1313----

____________

99x=211

99x=211

X=211/99

Answer 2

$\displaystyle \bf{ 2. \overline{13} = \frac{211}{99} }$

Which is of the form p/q where p , q are integers and q ≠ 0

Given :

The number $\displaystyle \sf{ 2. \overline{13} }$

To find :

To express in the form p/q where p , q are integers and q ≠ 0

Solution :

Step 1 of 2 :

Write down the given number

The given number is $\displaystyle \sf{ 2. \overline{13} }$

Step 2 of 2 :

Express in the form p/q where p , q are integers and q ≠ 0

$\displaystyle \sf{ Let \: \: x = 2. \overline{13} }$

Then x = 2.13131313... - - - - - - - (1)

Multiplying both sides by 100 we get

100x = 213.13131313... - - - - - - (2)

Equation 2 - Equation 1 gives

99x = 211

$\displaystyle \sf{ \implies x = \frac{211}{99} }$

$\displaystyle \sf{ \therefore \: \: 2. \overline{13} = \frac{211}{99}}$

Which is of the form p/q where p , q are integers and q ≠ 0

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