Question

Express 0.328 (bar on 28) in the form of p/q where p & q are integers and q is not equal to zero

Answer 1

Answer:

Let it be x

Step-by-step explanation:

X=0.32828.... -1

Multiply it by 100

100x=32.82828... -2

Subtract 1 from 2

100x= 32.82828....

10x= 0.32828..

= 99x= 32.5

X=325/990

X=65/198

Where p=65 and q=198

Hope this helps u :)

Answer 2

The required form is  $0.3\bar{28}=\frac{325}{99}$

Step-by-step explanation:

Given : Expression $0.3\bar{28}$

To find : Express expression in the form of p/q where p & q are integers and q is not equal to zero?

Solution :

Let $x=0.3282828...$ ....(1)

Multiply both side by 100,

$100x=32.82828...$ .....(2)

Subtract (1) and (2),

$100x-x=(32.82828...)-(0.3282828...)$

$99x=32.5$

$x=\frac{32.5}{99}$

$x=\frac{325}{99}$

Therefore, the required form is  $0.3\bar{28}=\frac{325}{99}$

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