Question
Write –6.175 as a mixed number.
Answers
GPT-4o mini
To convert \(-6.175\) into a mixed number, follow these steps:
1. **Identify the whole number part**: The whole number part of \(-6.175\) is \(-6\).
2. **Convert the decimal part**: The decimal part is \(0.175\). To convert \(0.175\) into a fraction:
- \(0.175\) can be expressed as \(\frac{175}{1000}\) (since there are three digits after the decimal point).
- To simplify \(\frac{175}{1000}\), find the greatest common divisor (GCD) of 175 and 1000. The GCD is 25.
- Divide both the numerator and denominator by 25:
\[
\frac{175 \div 25}{1000 \div 25} = \frac{7}{40}
\]
3. **Combine the results**: Now we can express \(-6.175\) as a mixed number:
\[
-6.175 = -6 \frac{7}{40}
\]
Thus, \(-6.175\) as a mixed number is \(-6 \frac{7}{40}\).
1. **Identify the whole number part**: The whole number part of \(-6.175\) is \(-6\).
2. **Convert the decimal part**: The decimal part is \(0.175\). To convert \(0.175\) into a fraction:
- \(0.175\) can be expressed as \(\frac{175}{1000}\) (since there are three digits after the decimal point).
- To simplify \(\frac{175}{1000}\), find the greatest common divisor (GCD) of 175 and 1000. The GCD is 25.
- Divide both the numerator and denominator by 25:
\[
\frac{175 \div 25}{1000 \div 25} = \frac{7}{40}
\]
3. **Combine the results**: Now we can express \(-6.175\) as a mixed number:
\[
-6.175 = -6 \frac{7}{40}
\]
Thus, \(-6.175\) as a mixed number is \(-6 \frac{7}{40}\).