Dividing Decimals worksheet with 12 problems for math practice.

Problem: Dividing Decimals

The task is to solve each division problem involving decimals. Here are the steps and solutions for each problem:

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#### 1. \( 1 \div 1.69 \)

- Step 1: Since the divisor is already a whole number (1), we can directly divide.
- Step 2: Perform the division: \( 1 \div 1.69 \).
- Result: \( 1 \div 1.69 \approx 0.5917 \).

Answer: \( \boxed{0.5917} \)

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#### 2. \( 1 \div 17.75 \)

- Step 1: The divisor is 1, so we directly divide.
- Step 2: Perform the division: \( 1 \div 17.75 \).
- Result: \( 1 \div 17.75 \approx 0.0563 \).

Answer: \( \boxed{0.0563} \)

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#### 3. \( 0.4 \div 10.69 \)

- Step 1: To simplify, multiply both the dividend and divisor by 100 to eliminate the decimal in the divisor.
- New problem: \( 40 \div 1069 \).
- Step 2: Perform the division: \( 40 \div 1069 \).
- Result: \( 40 \div 1069 \approx 0.0374 \).

Answer: \( \boxed{0.0374} \)

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#### 4. \( 0.2 \div 12.1 \)

- Step 1: Multiply both the dividend and divisor by 10 to eliminate the decimal in the divisor.
- New problem: \( 2 \div 121 \).
- Step 2: Perform the division: \( 2 \div 121 \).
- Result: \( 2 \div 121 \approx 0.0165 \).

Answer: \( \boxed{0.0165} \)

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#### 5. \( 0.5 \div 18.16 \)

- Step 1: Multiply both the dividend and divisor by 100 to eliminate the decimal in the divisor.
- New problem: \( 50 \div 1816 \).
- Step 2: Perform the division: \( 50 \div 1816 \).
- Result: \( 50 \div 1816 \approx 0.0275 \).

Answer: \( \boxed{0.0275} \)

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#### 6. \( 0.1 \div 2.19 \)

- Step 1: Multiply both the dividend and divisor by 10 to eliminate the decimal in the divisor.
- New problem: \( 1 \div 21.9 \).
- Step 2: Perform the division: \( 1 \div 21.9 \).
- Result: \( 1 \div 21.9 \approx 0.0457 \).

Answer: \( \boxed{0.0457} \)

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#### 7. \( 0.1 \div 0.32 \)

- Step 1: Multiply both the dividend and divisor by 100 to eliminate the decimals.
- New problem: \( 10 \div 32 \).
- Step 2: Perform the division: \( 10 \div 32 \).
- Result: \( 10 \div 32 = 0.3125 \).

Answer: \( \boxed{0.3125} \)

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#### 8. \( 0.6 \div 8.4 \)

- Step 1: Multiply both the dividend and divisor by 10 to eliminate the decimal in the divisor.
- New problem: \( 6 \div 84 \).
- Step 2: Perform the division: \( 6 \div 84 \).
- Result: \( 6 \div 84 \approx 0.0714 \).

Answer: \( \boxed{0.0714} \)

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#### 9. \( 0.6 \div 5.7 \)

- Step 1: Multiply both the dividend and divisor by 10 to eliminate the decimal in the divisor.
- New problem: \( 6 \div 57 \).
- Step 2: Perform the division: \( 6 \div 57 \).
- Result: \( 6 \div 57 \approx 0.1053 \).

Answer: \( \boxed{0.1053} \)

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#### 10. \( 1.7 \div 11.9 \)

- Step 1: Multiply both the dividend and divisor by 10 to eliminate the decimals.
- New problem: \( 17 \div 119 \).
- Step 2: Perform the division: \( 17 \div 119 \).
- Result: \( 17 \div 119 \approx 0.1429 \).

Answer: \( \boxed{0.1429} \)

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#### 11. \( 0.4 \div 3.1 \)

- Step 1: Multiply both the dividend and divisor by 10 to eliminate the decimal in the divisor.
- New problem: \( 4 \div 31 \).
- Step 2: Perform the division: \( 4 \div 31 \).
- Result: \( 4 \div 31 \approx 0.1290 \).

Answer: \( \boxed{0.1290} \)

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#### 12. \( 0.6 \div 4.26 \)

- Step 1: Multiply both the dividend and divisor by 100 to eliminate the decimal in the divisor.
- New problem: \( 60 \div 426 \).
- Step 2: Perform the division: \( 60 \div 426 \).
- Result: \( 60 \div 426 \approx 0.1409 \).

Answer: \( \boxed{0.1409} \)

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Final Answers:

1. \( \boxed{0.5917} \)
2. \( \boxed{0.0563} \)
3. \( \boxed{0.0374} \)
4. \( \boxed{0.0165} \)
5. \( \boxed{0.0275} \)
6. \( \boxed{0.0457} \)
7. \( \boxed{0.3125} \)
8. \( \boxed{0.0714} \)
9. \( \boxed{0.1053} \)
10. \( \boxed{0.1429} \)
11. \( \boxed{0.1290} \)
12. \( \boxed{0.1409} \)