Question

The p/q form of the number 1.3 2 bar (only 2 bar)

Answer 1

Answer :

119/90

Solution :

Here ,

We need to convert the given decimal is 1.3222.... in the form of p/q , q ≠ 0 .

Let the given decimal be X .

Thus ,

X = 1.3222.... -------(1)

Now ,

Multiplying both sides of the eq-(1) by 10 ,

We get ;

=> 10 × X = 10 × 1.3222....

=> 10X = 13.222.... ---------(2)

Now ,

Multiplying both sides of the eq-(2) by 10 ,

We get ;

=> 10 × 10X = 10 × 13.222....

=> 100X = 132.222.... ------(3)

Now ,

Subtracting eq-(2) from (3) , we get ;

=> 100X - 10X = 132.222.... – 13.222....

=> 90X = 119

=> X = 119/90

=> 1.3222.... = 119/90 { °•° X = 1.3222.... }

Hence ,

Required answer is 119/90 .