Divide:
(i) 16.46/20
(ii) 403.8/ 30
(iii) 19.2/80
(iv) 156.8 /200
(v) 12.8/500
(vi) 18.08/ 400

Answer

Let's solve each division step by step:

### (i) Divide 16.46 by 20

1. **Remove the decimal from 16.46**: Multiply both the numerator and denominator by 10 to eliminate the decimal.
\[ \frac{16.46 \times 10}{20 \times 10} = \frac{164.6}{200} \]

2. **Simplify the fraction**: We can write 20 as \(2 \times 10\).
\[ \frac{164.6}{2 \times 10} = \frac{164.6}{2} \div 10 \]

3. **Divide 164.6 by 2**:
\[ 164.6 \div 2 = 82.3 \]

4. **Now divide by 10**:
\[ 82.3 \div 10 = 8.23 \]

**Final Answer**: \(8.23\)

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### (ii) Divide 403.8 by 30

1. **Remove the decimal from 403.8**: Multiply both the numerator and denominator by 10.
\[ \frac{403.8 \times 10}{30 \times 10} = \frac{4038}{300} \]

2. **Simplify the fraction**: We can write 30 as \(3 \times 10\).
\[ \frac{4038}{3 \times 10} = \frac{4038}{3} \div 10 \]

3. **Divide 4038 by 3**:
\[ 4038 \div 3 = 1346 \]

4. **Now divide by 10**:
\[ 1346 \div 10 = 134.6 \]

**Final Answer**: \(134.6\)

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### (iii) Divide 19.2 by 80

1. **Remove the decimal from 19.2**: Multiply both the numerator and denominator by 10.
\[ \frac{19.2 \times 10}{80 \times 10} = \frac{192}{800} \]

2. **Simplify the fraction**: We can write 80 as \(8 \times 10\).
\[ \frac{192}{8 \times 10} = \frac{192}{8} \div 10 \]

3. **Divide 192 by 8**:
\[ 192 \div 8 = 24 \]

4. **Now divide by 10**:
\[ 24 \div 10 = 2.4 \]

**Final Answer**: \(2.4\)

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### (iv) Divide 156.8 by 200

1. **Remove the decimal from 156.8**: Multiply both the numerator and denominator by 10.
\[ \frac{156.8 \times 10}{200 \times 10} = \frac{1568}{2000} \]

2. **Simplify the fraction**: We can write 200 as \(2 \times 100\).
\[ \frac{1568}{2 \times 100} = \frac{1568}{2} \div 100 \]

3. **Divide 1568 by 2**:
\[ 1568 \div 2 = 784 \]

4. **Now divide by 100**:
\[ 784 \div 100 = 7.84 \]

**Final Answer**: \(7.84\)

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### (v) Divide 12.8 by 500

1. **Remove the decimal from 12.8**: Multiply both the numerator and denominator by 10.
\[ \frac{12.8 \times 10}{500 \times 10} = \frac{128}{5000} \]

2. **Simplify the fraction**: We can write 500 as \(5 \times 100\).
\[ \frac{128}{5 \times 100} = \frac{128}{5} \div 100 \]

3. **Divide 128 by 5**:
\[ 128 \div 5 = 25.6 \]

4. **Now divide by 100**:
\[ 25.6 \div 100 = 0.256 \]

**Final Answer**: \(0.256\)

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### (vi) Divide 18.08 by 400

1. **Remove the decimal from 18.08**: Multiply both the numerator and denominator by 100.
\[ \frac{18.08 \times 100}{400 \times 100} = \frac{1808}{40000} \]

2. **Simplify the fraction**: We can write 400 as \(4 \times 100\).
\[ \frac{1808}{4 \times 100} = \frac{1808}{4} \div 100 \]

3. **Divide 1808 by 4**:
\[ 1808 \div 4 = 452 \]

4. **Now divide by 100**:
\[ 452 \div 100 = 4.52 \]

**Final Answer**: \(4.52\)

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