Question
Write –45.46 as a mixed number.
Answers
GPT-4o mini
To convert \(-45.46\) into a mixed number, you can follow these steps:
1. **Identify the whole number**: The whole number part of \(-45.46\) is \(-45\).
2. **Convert the decimal part into a fraction**: The decimal part is \(0.46\). To convert \(0.46\) into a fraction:
- Write \(0.46\) as \(46/100\).
- Simplify the fraction \(46/100\) by finding the greatest common divisor (GCD) of 46 and 100, which is 2.
- Dividing both the numerator and the denominator by 2 gives:
\[
\frac{46 \div 2}{100 \div 2} = \frac{23}{50}
\]
3. **Combine the whole number and the fraction**: Therefore, \(-45.46\) can be expressed as:
\[
-45 \frac{23}{50}
\]
So, \(-45.46\) as a mixed number is \(-45 \frac{23}{50}\).
1. **Identify the whole number**: The whole number part of \(-45.46\) is \(-45\).
2. **Convert the decimal part into a fraction**: The decimal part is \(0.46\). To convert \(0.46\) into a fraction:
- Write \(0.46\) as \(46/100\).
- Simplify the fraction \(46/100\) by finding the greatest common divisor (GCD) of 46 and 100, which is 2.
- Dividing both the numerator and the denominator by 2 gives:
\[
\frac{46 \div 2}{100 \div 2} = \frac{23}{50}
\]
3. **Combine the whole number and the fraction**: Therefore, \(-45.46\) can be expressed as:
\[
-45 \frac{23}{50}
\]
So, \(-45.46\) as a mixed number is \(-45 \frac{23}{50}\).