Question

express 3.123567 p/q form where p and q are integers and q is not equal to 0​

Answer 1

x= 3,123,563.88/ 999999

Step-by-step explanation:

let

x= 3.123567

since there are 6 digits after decimal, we multiply 1000000 on both the sides,

therefore,

1000000x=3123567

therefore,

subtracting x on both the sides,

therefore,

999999x=3,123,563.88

therefore,

x= 3,123,563.88/ 999999

I hope it helps!!

Answer 2

3.123567 is  $\frac{1546}{495}$ in p/q form.

Given:

A rational number 3.123567.

To Find:

Express 3.123567 in p/q form where p and q are integers and q is not equal to 0​.

Solution:

Given, the expression  3.123567

Let  3.123567 = x  ⟹(i).

Multiplying (i) by 10,

⟹ 31.23567 = 10x  ⟹(ii).

Multiplying (i) by 1000,

⟹ 3123.567 = 1000x  ⟹(iii).

Then, (iii)−(ii)

⟹ 1000x−10x= 3123.567 - 31.23567

⟹ 990x = 3092

x = $\frac{3092}{990}$

x = $\frac{1546}{495}$

Hence, 3.123567 is  $\frac{1546}{495}$ in p/q form.

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