Verified Answer :

Since both fractions have the same denominator, we can subtract them.  We only need to subtract the numerators, or the top numbers.  7-4=3.  We now have the fraction \(1 \frac{3}{9}\)But 3 is a multiple of 9.  We can divide both 3 and 9 by three. 3÷3=1.  9÷3=3.  We just reduced the fraction.  \(1 \frac{1}{3}\)That would be the fraction in simplest form.

This is how I solve mines. It might be different from how others solve it.

\(\frac{(1)(7)}{9} - \frac{4}{9} \\ \\ \frac{7}{9} - \frac{4}{9} = \frac{1}{3}\)