`(34)/(1000)` is equal to

Options

A. `0.34`
B. `0.034`
C. `0.0034`
D. `3.004`

Answer

To solve the problem of converting the fraction \( \frac{34}{1000} \) into a decimal, we can follow these steps:

### Step-by-Step Solution:

1. **Understand the Fraction**: The fraction \( \frac{34}{1000} \) means 34 divided by 1000.

2. **Perform the Division**: To convert the fraction to a decimal, we need to divide 34 by 1000.

\[ 34 \div 1000 \]

3. **Setting Up the Division**: When dividing, we can think of 34 as 34.000 (adding decimal places for clarity).

4. **Divide**: Now, we perform the division:

- 1000 goes into 34 zero times. So, we write 0 before the decimal point.
- We then look at 340 (the next two digits after the decimal).
- 1000 goes into 340 zero times again.
- Next, we look at 3400.
- 1000 goes into 3400 three times (because \( 1000 \times 3 = 3000 \)).
- Subtract 3000 from 3400, which leaves us with 400.
- Bring down the next zero to make it 4000.
- 1000 goes into 4000 four times (because \( 1000 \times 4 = 4000 \)).
- Subtract 4000 from 4000, which leaves us with 0.

5. **Final Result**: Putting it all together, we have:

\[ 34 \div 1000 = 0.034 \]

Thus, \( \frac{34}{1000} \) is equal to **0.034**.