Question
Show full working convert 3/8 to decimal
Answers
GPT-4o mini
To convert the fraction \( \frac{3}{8} \) to a decimal, you can divide the numerator by the denominator.
1. **Divide 3 by 8**:
\[
3 \div 8
\]
2. **Setup the division**: Since 3 is less than 8, we can add decimal points and zeros to perform the division. We can write this as \( 3.000 \) (adding three zeros).
3. **Perform the division**:
- 8 goes into 30 a total of 3 times (because \( 8 \times 3 = 24 \)).
- Subtract \( 24 \) from \( 30 \) to get \( 6 \).
- Bring down the next 0 (from the 3.000) to make it \( 60 \).
- 8 goes into 60 a total of 7 times (because \( 8 \times 7 = 56 \)).
- Subtract \( 56 \) from \( 60 \) to get \( 4 \).
- Bring down the next 0 to make it \( 40 \).
- 8 goes into 40 a total of 5 times (because \( 8 \times 5 = 40 \)).
- Subtract \( 40 \) from \( 40 \) to get \( 0 \).
4. **Write the decimal**:
- From the division, we collected the digits: \( 0.375 \).
Thus, the decimal form of \( \frac{3}{8} \) is \( 0.375 \).
1. **Divide 3 by 8**:
\[
3 \div 8
\]
2. **Setup the division**: Since 3 is less than 8, we can add decimal points and zeros to perform the division. We can write this as \( 3.000 \) (adding three zeros).
3. **Perform the division**:
- 8 goes into 30 a total of 3 times (because \( 8 \times 3 = 24 \)).
- Subtract \( 24 \) from \( 30 \) to get \( 6 \).
- Bring down the next 0 (from the 3.000) to make it \( 60 \).
- 8 goes into 60 a total of 7 times (because \( 8 \times 7 = 56 \)).
- Subtract \( 56 \) from \( 60 \) to get \( 4 \).
- Bring down the next 0 to make it \( 40 \).
- 8 goes into 40 a total of 5 times (because \( 8 \times 5 = 40 \)).
- Subtract \( 40 \) from \( 40 \) to get \( 0 \).
4. **Write the decimal**:
- From the division, we collected the digits: \( 0.375 \).
Thus, the decimal form of \( \frac{3}{8} \) is \( 0.375 \).