Question
Write –96.14 as a mixed number.
Answers
GPT-4o mini
To convert \(-96.14\) into a mixed number, follow these steps:
1. **Separate the integer part and the decimal part.** The integer part is \(-96\).
2. **Convert the decimal part into a fraction.** The decimal \(0.14\) can be expressed as the fraction \(\frac{14}{100}\).
3. **Simplify the fraction.** The fraction \(\frac{14}{100}\) can be simplified by dividing both the numerator and the denominator by 2:
\[
\frac{14 \div 2}{100 \div 2} = \frac{7}{50}
\]
4. **Combine the integer part and the fraction.** Since the entire number is negative, we write:
\[
-96 \frac{7}{50}
\]
Thus, \(-96.14\) as a mixed number is:
\[
-96 \frac{7}{50}
\]
1. **Separate the integer part and the decimal part.** The integer part is \(-96\).
2. **Convert the decimal part into a fraction.** The decimal \(0.14\) can be expressed as the fraction \(\frac{14}{100}\).
3. **Simplify the fraction.** The fraction \(\frac{14}{100}\) can be simplified by dividing both the numerator and the denominator by 2:
\[
\frac{14 \div 2}{100 \div 2} = \frac{7}{50}
\]
4. **Combine the integer part and the fraction.** Since the entire number is negative, we write:
\[
-96 \frac{7}{50}
\]
Thus, \(-96.14\) as a mixed number is:
\[
-96 \frac{7}{50}
\]