Question

express 2.113(13 is bar) in the p÷q form

Answer 1

Answer:

Step-by-step explanation:

Let x = 2.1131313.....---(1)

Multiply by 10

10x = 21.13131313.....----(2)

Multiply by 1000

1000x = 2113.1313....----(3)

Now,

Subtract eq. (3)-(2)

We get,

990x = 2092

x = 2092/990

x = 1046/990

Answer 2

The number 2.11313... in p/q form is 2092/990.

Given,

A number 2.113131313...

To Find,

The number in the form of p/q.

Solution,

Let us assume that x = 2.11313131...------(i)

Now, multiply this equation with 10

10x = 21.1313131...---------(ii)

Now, multiply equation (i) by 1000

1000x = 2113.13131...-----(iii)

Now, we will subtract equation (iii)-(ii)

1000x-10x = 2113.13131...-(21.13131...)

990x = 2092

x = 2092/990

Hence, the number 2.11313... in p/q form is 2092/990.

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