Fraction Simplification Eb2D86
1. **State the problem:** Simplify the expression $$\frac{7}{2} + \frac{3}{4} - \frac{2}{2}$$.
2. **Find a common denominator:** The denominators are 2 and 4. The least common denominator (LCD) is 4.
3. **Rewrite each fraction with denominator 4:**
$$\frac{7}{2} = \frac{7 \times 2}{2 \times 2} = \frac{14}{4}$$
$$\frac{3}{4} = \frac{3}{4}$$
$$\frac{2}{2} = \frac{2 \times 2}{2 \times 2} = \frac{4}{4}$$
4. **Perform the addition and subtraction:**
$$\frac{14}{4} + \frac{3}{4} - \frac{4}{4} = \frac{14 + 3 - 4}{4} = \frac{13}{4}$$
5. **Final answer:** $$\frac{13}{4}$$ or as a mixed number $$3 \frac{1}{4}$$.
---
1. **State the problem:** Simplify the expression $$\frac{5}{3} - \frac{7}{3} - \frac{3}{3}$$.
2. **Since all denominators are the same (3), combine the numerators:**
$$\frac{5 - 7 - 3}{3} = \frac{-5}{3}$$
3. **Final answer:** $$-\frac{5}{3}$$ or as a mixed number $$-1 \frac{2}{3}$$.