SUBMIT ANSWER 12. [-/1 Points] DETAILS MY NOTES CURRENMEDMATH11 2.S.022. Divide the fraction. Express your answer to the nearest tenth. A calculator may be used. $$ \frac{280}{1,000}= $$ $$ \qquad $$ SUBMIT ANSWER 13. [-/1 Points] DETAILS MY NOTES CURRENMEDMATH11 2.S.023. Divide the fraction. Express your answer to the nearest tenth. A calculator may be used. $$ \frac{0.4}{0.09}= $$ $$ \square $$

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UpStudy AI · Accepted Answer

Calculate the value by following steps:
- step0: Calculate:
  $$\frac{280}{1000}$$
- step1: Reduce the fraction:
  $$\frac{7}{25}$$
Calculate or simplify the expression $$ 0.4/0.09 $$.
Calculate the value by following steps:
- step0: Calculate:
  $$\frac{0.4}{0.09}$$
- step1: Convert the expressions:
  $$\frac{\frac{2}{5}}{\frac{9}{100}}$$
- step2: Multiply by the reciprocal:
  $$\frac{2}{5}\times \frac{100}{9}$$
- step3: Reduce the numbers:
  $$2\times \frac{20}{9}$$
- step4: Multiply:
  $$\frac{2\times 20}{9}$$
- step5: Multiply:
  $$\frac{40}{9}$$
Let's solve each of the problems step by step.

### Problem 12: Divide the fraction $$\frac{280}{1000}$$

1. **Perform the division**:
   $$
   \frac{280}{1000} = 0.28
   $$

2. **Express the answer to the nearest tenth**:
   - The decimal $$0.28$$ rounded to the nearest tenth is $$0.3$$.

### Problem 13: Divide the fraction $$\frac{0.4}{0.09}$$

1. **Perform the division**:
   $$
   \frac{0.4}{0.09} \approx 4.4444\ldots
   $$

2. **Express the answer to the nearest tenth**:
   - The decimal $$4.4444\ldots$$ rounded to the nearest tenth is $$4.4$$.

### Final Answers:
- For Problem 12: $$0.3$$
- For Problem 13: $$4.4$$
- Problem 12: 0.3 - Problem 13: 4.4

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