Question

the value of 1.999in the form of p÷q where p and q are integers and q is not equal to 0 is​

Answer 1

Question:

The value of $\sf { 1. \overline{9} }$ in $\sf {\frac{p}{q}}$, where p and q are integers and q ≠ 0 is?

Solution:

Let:-

$\sf {1. \overline{9} = x}$ ____(1)

Multiply (1) by 10:-

$\sf { 19. \overline{9} = 10x}$ _____(2)

(2) - (1):-

$\sf{ 19. \overline{9} - 1.\overline{9} = 10x -x}$

→ 18 = 9x

→ x = 2

Thus:-

$\boxed {\sf { \frac{p}{q} \: form \: of \: 1.\overline{9} \: is \: 2}}$

Answer 2

Answer:

Step-by-step explanation:

1.999

=1999/1000

p=1999, q=1000