Express the numbers `2(1)/(10), 6(17)/(100)` and `18(29)/(1000)` as decimals.

Answer

To express the numbers \(2\frac{1}{10}\), \(6\frac{17}{100}\), and \(18\frac{29}{1000}\) as decimals, we will follow these steps:

### Step 1: Convert \(2\frac{1}{10}\) to Decimal
1. **Multiply the whole number by the denominator**:
\[ 2 \times 10 = 20 \]
2. **Add the numerator**:
\[ 20 + 1 = 21 \]
3. **Divide by the denominator**:
\[ \frac{21}{10} = 2.1 \]

### Step 2: Convert \(6\frac{17}{100}\) to Decimal
1. **Multiply the whole number by the denominator**:
\[ 6 \times 100 = 600 \]
2. **Add the numerator**:
\[ 600 + 17 = 617 \]
3. **Divide by the denominator**:
\[ \frac{617}{100} = 6.17 \]

### Step 3: Convert \(18\frac{29}{1000}\) to Decimal
1. **Multiply the whole number by the denominator**:
\[ 18 \times 1000 = 18000 \]
2. **Add the numerator**:
\[ 18000 + 29 = 18029 \]
3. **Divide by the denominator**:
\[ \frac{18029}{1000} = 18.029 \]

### Final Answers
- \(2\frac{1}{10} = 2.1\)
- \(6\frac{17}{100} = 6.17\)
- \(18\frac{29}{1000} = 18.029\)

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