Convert the decimal expansion 0. to a fraction

Step-by-step explanation:

The given decimal expansion : 0.291666......, where 6 is repeating.

Let            (1)

First we multiply 10 on the both sides, we get

            (2)

Now, subtract (1) from (2), we get

Simplify it to the lowest fraction, we get

x > 1.3

step by step:

8.5−0.9x> 9.8−1.9x

step 1: simplify both sides of the inequality.

−0.9x+8.5> −1.9x+9.8

step 2: add 1.9x to both sides.

−0.9x+8.5+1.9x> −1.9x+9.8+1.9x

1x+8.5> 9.8

step 3: subtract 8.5 from both sides.

1x+8.5−8.5> 9.8−8.5

1x> 1.3

step 4: divide both sides by 1.

1x/1 > 1.3/1