Fraction Operations 2E4355
1. **Problem 12:** Add $1 + \frac{1}{4}$.
- Convert 1 to a fraction with denominator 4: $\frac{4}{4}$.
- Add: $\frac{4}{4} + \frac{1}{4} = \frac{5}{4}$.
- Final answer: $\frac{5}{4}$ or $1 \frac{1}{4}$.
2. **Problem 13:** Add $\frac{1}{5} + \frac{3}{5}$.
- Same denominator, add numerators: $\frac{1+3}{5} = \frac{4}{5}$.
- Final answer: $\frac{4}{5}$.
3. **Problem 14:** Subtract $\frac{9}{9} - \frac{8}{9}$.
- Same denominator, subtract numerators: $\frac{9-8}{9} = \frac{1}{9}$.
- Final answer: $\frac{1}{9}$.
4. **Problem 15:** Subtract $\frac{9}{10} - \frac{4}{10}$.
- Same denominator, subtract numerators: $\frac{9-4}{10} = \frac{5}{10}$.
- Simplify $\frac{5}{10} = \frac{1}{2}$.
- Final answer: $\frac{1}{2}$.
5. **Problem 16:** How many $\frac{5}{8}$ inch books fit on a 20 inch shelf?
- Use division: $\text{number of books} = \frac{20}{\frac{5}{8}}$.
- Dividing by a fraction is multiplying by its reciprocal: $20 \times \frac{8}{5} = \frac{20 \times 8}{5} = \frac{160}{5} = 32$.
- Final answer: 32 books fit on the shelf.
6. **Problem 17:** Which is greater, 5% of 90 or 90% of 5?
- Calculate 5% of 90: $0.05 \times 90 = 4.5$.
- Calculate 90% of 5: $0.9 \times 5 = 4.5$.
- Both are equal.
- Final answer: They are equal, both equal to 4.5.