Decimals as Vulgar Fractions with Solution/ Question

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Solve .6x + .25 - 1/9x = 1.8** - .75x - 1/3.

Expressing decimals as vulgar fractions: a vulgar fraction is a simple or common fraction.

2/3x + 1/4x - 1/9x = 1 8/9** - 3/4x - 1/3

Clearing fractions:

24x + 9 - 4x = 68 - 27x - 12

Combining:

24x - 4x + 27x = 68 - 12 - 9

47x = 47

x = 1

** A question: How did they get the 1 8/9 from 1.8 ?

I get: 1.8 = 1 8/10 = 18/10 = 9/5.