It is a three step process to subtract fractions.

Rename with common denominators
Subtract whole numbers and numerators
Simplify (if needed)

The problem	$$5\frac{5}{6}\,-\,2\frac{2}{9}\,=$$
Rename with common denominators	$$5\frac{15}{18}\,-\,2\frac{4}{18}\,=$$
Subtract	$$3\frac{11}{18}$$
Simplify	not needed this time

Here is another example.

The problem	$$5\frac{2}{3}\,-\,2\frac{1}{6}\,=$$
Rename with common denominators	[show answer] $$5\frac{4}{6}\,-\,2\frac{1}{6}\,=$$
Subtract	[show answer] $$3\frac{3}{6}$$
Simplify	[show answer] $$3\frac{1}{2}$$

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Duane Habecker, Created with GeoGebra

View subtracting fractions with the area model.

For more practice with fractions, please try this Fraction Calculator.