14. $$ 4 \frac{9}{100}-5 \frac{11}{100} $$ 17. $$ 3 \frac{1}{4}+1 \frac{1}{2} $$ 20. $$ 2 \frac{1}{3}-1 \frac{1}{2} $$

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Calculate the value by following steps:
- step0: Calculate:
  $$4+\frac{9}{100}-\left(5+\frac{11}{100}\right)$$
- step1: Add the numbers:
  $$4+\frac{9}{100}-\frac{511}{100}$$
- step2: Reduce fractions to a common denominator:
  $$\frac{4\times 100}{100}+\frac{9}{100}-\frac{511}{100}$$
- step3: Transform the expression:
  $$\frac{4\times 100+9-511}{100}$$
- step4: Multiply the numbers:
  $$\frac{400+9-511}{100}$$
- step5: Calculate:
  $$\frac{-102}{100}$$
- step6: Reduce the fraction:
  $$\frac{-51}{50}$$
- step7: Rewrite the fraction:
  $$-\frac{51}{50}$$
Calculate or simplify the expression $$ 3 + 1/4 + (1 + 1/2) $$.
Calculate the value by following steps:
- step0: Calculate:
  $$3+\frac{1}{4}+\left(1+\frac{1}{2}\right)$$
- step1: Add the numbers:
  $$3+\frac{1}{4}+\frac{3}{2}$$
- step2: Reduce fractions to a common denominator:
  $$\frac{3\times 4}{4}+\frac{1}{4}+\frac{3\times 2}{2\times 2}$$
- step3: Multiply the numbers:
  $$\frac{3\times 4}{4}+\frac{1}{4}+\frac{3\times 2}{4}$$
- step4: Transform the expression:
  $$\frac{3\times 4+1+3\times 2}{4}$$
- step5: Multiply the numbers:
  $$\frac{12+1+3\times 2}{4}$$
- step6: Multiply the numbers:
  $$\frac{12+1+6}{4}$$
- step7: Add the numbers:
  $$\frac{19}{4}$$
Calculate or simplify the expression $$ 2 + 1/3 - (1 + 1/2) $$.
Calculate the value by following steps:
- step0: Calculate:
  $$2+\frac{1}{3}-\left(1+\frac{1}{2}\right)$$
- step1: Add the numbers:
  $$2+\frac{1}{3}-\frac{3}{2}$$
- step2: Reduce fractions to a common denominator:
  $$\frac{2\times 3\times 2}{3\times 2}+\frac{2}{3\times 2}-\frac{3\times 3}{2\times 3}$$
- step3: Multiply the numbers:
  $$\frac{2\times 3\times 2}{6}+\frac{2}{3\times 2}-\frac{3\times 3}{2\times 3}$$
- step4: Multiply the numbers:
  $$\frac{2\times 3\times 2}{6}+\frac{2}{6}-\frac{3\times 3}{2\times 3}$$
- step5: Multiply the numbers:
  $$\frac{2\times 3\times 2}{6}+\frac{2}{6}-\frac{3\times 3}{6}$$
- step6: Transform the expression:
  $$\frac{2\times 3\times 2+2-3\times 3}{6}$$
- step7: Multiply the terms:
  $$\frac{12+2-3\times 3}{6}$$
- step8: Multiply the numbers:
  $$\frac{12+2-9}{6}$$
- step9: Calculate:
  $$\frac{5}{6}$$
Let's solve each of the problems step by step.

### Problem 14: $$ 4 \frac{9}{100} - 5 \frac{11}{100} $$

1. Convert the mixed numbers to improper fractions:
   - $$ 4 \frac{9}{100} = \frac{400 + 9}{100} = \frac{409}{100} $$
   - $$ 5 \frac{11}{100} = \frac{500 + 11}{100} = \frac{511}{100} $$

2. Now, perform the subtraction:
   $$
   \frac{409}{100} - \frac{511}{100} = \frac{409 - 511}{100} = \frac{-102}{100} = -\frac{51}{50} = -1 \frac{1}{50}
   $$

### Problem 17: $$ 3 \frac{1}{4} + 1 \frac{1}{2} $$

1. Convert the mixed numbers to improper fractions:
   - $$ 3 \frac{1}{4} = \frac{12 + 1}{4} = \frac{13}{4} $$
   - $$ 1 \frac{1}{2} = \frac{2 + 1}{2} = \frac{3}{2} = \frac{3 \cdot 2}{2 \cdot 2} = \frac{6}{4} $$

2. Now, perform the addition:
   $$
   \frac{13}{4} + \frac{6}{4} = \frac{13 + 6}{4} = \frac{19}{4} = 4 \frac{3}{4}
   $$

### Problem 20: $$ 2 \frac{1}{3} - 1 \frac{1}{2} $$

1. Convert the mixed numbers to improper fractions:
   - $$ 2 \frac{1}{3} = \frac{6 + 1}{3} = \frac{7}{3} $$
   - $$ 1 \frac{1}{2} = \frac{2 + 1}{2} = \frac{3}{2} = \frac{3 \cdot 3}{2 \cdot 3} = \frac{9}{6} = \frac{9 \cdot 2}{6 \cdot 2} = \frac{18}{6} $$

2. Now, perform the subtraction:
   $$
   \frac{7}{3} - \frac{3}{2} = \frac{14}{6} - \frac{9}{6} = \frac{14 - 9}{6} = \frac{5}{6}
   $$

### Final Answers:
- **14:** $$ -1 \frac{1}{50} $$
- **17:** $$ 4 \frac{3}{4} $$
- **20:** $$ \frac{5}{6} $$
- **14:** $$ -1 \frac{1}{50} $$ - **17:** $$ 4 \frac{3}{4} $$ - **20:** $$ \frac{5}{6} $$

14. \( 4 \frac{9}{100}-5 \frac{11}{100} \) 17. \( 3 \frac{1}{4}+1 \frac{1}{2} \) 20. \( 2 \frac{1}{3}-1 \frac{1}{2} \)

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