1. **State the problem:** Solve the equation involving fractions: $$t - \frac{3}{4} = 1 \frac{1}{4}$$ 2. **Convert mixed numbers to improper fractions:** $$1 \frac{1}{4} = \frac{5}{4}$$ 3. **Rewrite the equation:** $$t - \frac{3}{4} = \frac{5}{4}$$ 4. **Isolate $t$ by adding $\frac{3}{4}$ to both sides:** $$t = \frac{5}{4} + \frac{3}{4}$$ 5. **Add the fractions:** $$t = \frac{5+3}{4} = \frac{8}{4}$$ 6. **Simplify the fraction:** $$t = \frac{\cancel{8}}{\cancel{4}} = 2$$ **Final answer:** $$t = 2$$