Question

express 2.78 in p/q form from bar on 78​

Answer 1

Step-by-step explanation:

Given :-

Number = 2.78 ,bar on 78

To find:-

Express the given number into p/q form?

Solution:-

Given decimal number = 2.78, bar on 78

Let X = 2.787878... -----------(1)

Since ,the periodicity is 2

Multiply (1) with 100 then

=>100×X = 2.787878...×100

=>100X = 278.787878...----------(2)

On Subtracting (1) from (2) then

(2)-(1)

100X = 278.787878...

X = 2.787878...

(-)

_________________

99X = 276.000000...

__________________

=> 99X = 276

=>X = 276/99

=>X = (3×92)/(3×33)

=>X = 92/33

2.78 bar on 78 = 92/33

Answer :-

The p/q form of the given problem is 92/33

Answer 2

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