Math, asked by vanshnagpal1006, 1 year ago

Express 0.377777...... in the form of p/q where p and q are integers and q not = 0

Answers

Answered by simran9999915
11
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Answered by sourasghotekar123
0

Answer:

The p/q form of 0.3777... is 17/45.

Step-by-step explanation:

As per the question,

We need to express 0.3777.. in p/q form, where q is not equal to 0.

So, lets assume that:

x = 0.3777..

So, 10x =3.777...           ......(i)

And 100x = 37.777...    .......(ii)

Now,

From (i) and (ii), we get :

100x-10x=37.77....-3.7777\\\\90x=34\\\\x=\frac{34}{90}=\frac{17}{45}

Here, p/q form of 0.3777... is 17/45, where denominator is not equal to zero.

Hence.

The p/q form of 0.3777... is 17/45.

#SPJ3

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