Question
What is the decimal representation of the fraction 47/125?
Answers
GPT-4o mini
To convert the fraction \( \frac{47}{125} \) to its decimal representation, you can perform the division of 47 by 125.
1. **Divide 47 by 125:**
- 125 goes into 47 zero times. So we start with 0.
- We can add a decimal point and a zero to 47, making it 470.
2. **Now, divide 470 by 125:**
- 125 goes into 470 three times (3 × 125 = 375).
- Subtract 375 from 470 to get 95.
3. **Bring down another zero, making it 950:**
- 125 goes into 950 seven times (7 × 125 = 875).
- Subtract 875 from 950 to get 75.
4. **Bring down another zero, making it 750:**
- 125 goes into 750 six times (6 × 125 = 750).
- Subtract 750 from 750 to get 0.
After performing these steps, we find:
\[
\frac{47}{125} = 0.376
\]
Thus, the decimal representation of \( \frac{47}{125} \) is \( 0.376 \).
1. **Divide 47 by 125:**
- 125 goes into 47 zero times. So we start with 0.
- We can add a decimal point and a zero to 47, making it 470.
2. **Now, divide 470 by 125:**
- 125 goes into 470 three times (3 × 125 = 375).
- Subtract 375 from 470 to get 95.
3. **Bring down another zero, making it 950:**
- 125 goes into 950 seven times (7 × 125 = 875).
- Subtract 875 from 950 to get 75.
4. **Bring down another zero, making it 750:**
- 125 goes into 750 six times (6 × 125 = 750).
- Subtract 750 from 750 to get 0.
After performing these steps, we find:
\[
\frac{47}{125} = 0.376
\]
Thus, the decimal representation of \( \frac{47}{125} \) is \( 0.376 \).