Question

Express 3.423 bar on 23 in the form of p/q wherr p and q are integers nd q is not equal to 0

Answer 1

The ans is 3389/990
Solution -
Let the number be x
.: x=3.4232323..
Multiple it by 10
.:10x=34.2323...-1eq
Now multiple it again by 100
1000x=3423.2323..-2eq
Subtract 2 eq and 1 eq
We will get 990x=3389
.: x= 3389/990


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Answer 2

Let us assume that 3.4232323... as x
By multiplying by 10
$10x = 34.23233...$
equation 1

By multiplying by 100
$1000x = 3423.232323...$
equation 2

By subtracting equation 2 and 1,
$\: \: 1000x = 3423.232323...$
$- \: \: 10x = 34.232323...$


= 990x= 3389
x=3389/990