Question

show that 0.3333 can be expressed in the form of p / q where p and q are integers​

Answer 1

Answer:

1/3

Step-by-step explanation:

Let x = 0.33333 (cont) (Equation 1)

Multiplying by 10 on both sides, we get

10x = 3.3333 (cont) (Equation 2)

Subtracting Equation 1 by Equation 2, we get

10x - x = 3.3333 (cont) - 0.3333 (cont)

=> 9x = 3

=> x = 3/9 = 1/3

=> 0.3333 (cont) = 1/3

Answer 2

Step-by-step explanation:

Let

0.333 = x -eq1

so, 10x = 10*0.333

= 3.333

10x = 3+0.333

10x = 3+x (by eq1)

10x - x = 3

9x = 3

x = 3/9

x= 1/3

so,

0.333=1/3