Question

Express 4.39_74(_is symbol of bar under 74) into p/q form

Answer 1

Heya !!!


4.3974 ( bar on 74)


Let X = 4.3974


Then X = 4.397474---------(1)


Multiply equation (1) by 100 we get,

100X = 439.7474-----------(2)



Again,

Multiply equation (2) by 10000 we get,

10000X = 43974.7474--------(3)



Subtract equation (2) from equation (3) we get,



10000X = 43974.7474
100X. = 439.7474
_______________

9900X = 43535 [ bar cancel]

X = 43535/9900 => 8707/1980


Hence,


4.3974 ( bar on 74) is in the form of 8707/1980 which is in the form of P/Q.



HOPE IT WILL HELP YOU...... :-)

Answer 2

Heya !!!

Here is your answer.

Given :

4.39747474....

We have to represent it in the form of p/q.

Let x = 4.39747474....
Multiply by 10...
10x = 43.97474...
Repeat until you get same digits after the decimals....

100x = 439.74747......(i)
1000x = 4397.47474.....
10000x = 43974.747474..... (ii)

If we subtract (i) from (ii), we would be able cancel repeating block.

So, Subtracting (i) from (ii),

10000x = 43974.747474.....
100x = 439.747474..........
----------------------------------------
9900x = 43535

x = 43535/9900 = 8707/1980

Hope It Helps