Answer :
To solve the problem of comparing the time that Max spends running to the time that Angela spends running, we can use the information given:
- Max spends 1 hour running.
- Angela spends 1.5 hours running.
First, let's clarify the given options, since we aim to compare Max's running time to Angela's running time.
### Step-by-Step Solution
1. Identify the times spent running:
- Max's running time: 1 hour
- Angela's running time: 1.5 hours
2. Write the times as fractions or decimal values:
- Max: 1 (which is 1.0 in decimal form)
- Angela: 1.5 (which is [tex]\( \frac{3}{2} \)[/tex] in fraction form)
3. Calculate the ratio:
The ratio comparing Max's running time to Angela's running time is calculated by dividing Max's time by Angela's time:
[tex]\[ \text{Ratio} = \frac{\text{Max's time}}{\text{Angela's time}} = \frac{1}{1.5} \][/tex]
4. Simplify the ratio:
To simplify [tex]\(\frac{1}{1.5}\)[/tex], divide both the numerator and the denominator by 1.5:
[tex]\[ \frac{1}{1.5} = \frac{1 \div 1.5}{1.5 \div 1.5} = \frac{1}{1.5} = \frac{1}{1 \frac{1}{2}} = \frac{2}{3} \][/tex]
Thus, the simplified ratio of the time Max spends running to the time Angela spends running is [tex]\(\frac{2}{3}\)[/tex].
### Conclusion:
The correct ratio comparing the time Max spends running to the time Angela spends running is:
[tex]\[ \boxed{\frac{2}{3}} \][/tex]
- Max spends 1 hour running.
- Angela spends 1.5 hours running.
First, let's clarify the given options, since we aim to compare Max's running time to Angela's running time.
### Step-by-Step Solution
1. Identify the times spent running:
- Max's running time: 1 hour
- Angela's running time: 1.5 hours
2. Write the times as fractions or decimal values:
- Max: 1 (which is 1.0 in decimal form)
- Angela: 1.5 (which is [tex]\( \frac{3}{2} \)[/tex] in fraction form)
3. Calculate the ratio:
The ratio comparing Max's running time to Angela's running time is calculated by dividing Max's time by Angela's time:
[tex]\[ \text{Ratio} = \frac{\text{Max's time}}{\text{Angela's time}} = \frac{1}{1.5} \][/tex]
4. Simplify the ratio:
To simplify [tex]\(\frac{1}{1.5}\)[/tex], divide both the numerator and the denominator by 1.5:
[tex]\[ \frac{1}{1.5} = \frac{1 \div 1.5}{1.5 \div 1.5} = \frac{1}{1.5} = \frac{1}{1 \frac{1}{2}} = \frac{2}{3} \][/tex]
Thus, the simplified ratio of the time Max spends running to the time Angela spends running is [tex]\(\frac{2}{3}\)[/tex].
### Conclusion:
The correct ratio comparing the time Max spends running to the time Angela spends running is:
[tex]\[ \boxed{\frac{2}{3}} \][/tex]