[tex]- \frac{2}{9} = a + \frac{7}{6} [/tex]
Take 7/6 to the other side
[tex]- \frac{2}{9} - \frac{7}{6} = a[/tex]
Make both fractions have the same denominator
[tex]a = - \frac{2 \times 2}{9 \times 2} - \frac{7 \times 3}{6 \times 3} [/tex]
Simplify
[tex]a = - \frac{25}{18} [/tex]
The second question.
[tex]a + \frac{7}{6} = \frac{3}{4} [/tex]
Bring 7/6 to the other side
[tex]a = \frac{3}{4} - \frac{7}{6} [/tex]
Make both fractions have similar denominators.
[tex]a = \frac{3 \times 3}{4 \times 4} - \frac{7 \times 2}{6 \times 2} [/tex]
Simplify
[tex]a = - \frac{5}{12} [/tex]
