Question

convert 3.5 into rational number but there was also baar upon 5

Answer 1

Heya !!!

3.5 ( bar on 5 )

Let X = 3.5

Then X = 3.55 -------(1)

Multiply equation (1) by 10 we get,

10X = 35.55 ---------(2)

Subtract equation (1) from equation (2) we get,

10X = 35.55

X = 3.55
----------------

9X = 32 [ Bar cancelled ]

X = 32/9 [ P/Q form ]

Hence,

3.5 ( bar on 5 ) = 32/9

★ HOPE IT WILL HELP YOU ★

Answer 2

Let 'x' be 3.5(bar on 5).

Since the number of repeating decimals is 1,we should multiply x and it's value with 10.

10*x=3.5(bar on 5)*10.
10x=35.5(bar on 5).

Now we should SUBTRACT x and it's value from 10x and it's value.

10x-x=35.5(bar on 5)-3.5(bar on 5).
9x=32 (bar gets cancelled)
x=32/9.

Therefore,3.5(bar on 5) in the form of p/q where p and q are integers and q is not equal to 0 is 32/9.