[tex] \frac{t}{8} [/tex] - [tex] \frac{3}{4} [/tex] = [tex] \frac{9}{16} [/tex] Multiply both sides by 8 to get t out of the fraction
t - [tex] \frac{3 x 8}{4} [/tex] = [tex] \frac{9 x 8}{16} [/tex] Simplify the numerators
t - [tex] \frac{24}{4} [/tex] = [tex] \frac{72}{16} [/tex] Divide the fractions
t - 6 = 4 [tex] \frac{1}{2} [/tex] Add 6 to both sides
t = 10 [tex] \frac{1}{2} [/tex]