To analyze and compare the distances the students walked and convert Ali's distance into a mixed number, follow these steps:
1. List the distances walked:
- Ali: [tex]\( 3.75 \)[/tex] miles
- Hayley: [tex]\( 3 \)[/tex] miles
- Juan: [tex]\( 3.25 \)[/tex] miles
- Yuna: [tex]\( 3.4 \)[/tex] miles
- Zee: [tex]\( 3.6 \)[/tex] miles
2. Convert Ali's distance into a mixed number:
- A mixed number consists of an integer part and a fractional part.
- For Ali, the distance [tex]\( 3.75 \)[/tex] miles consists of:
- The integer part: [tex]\( 3 \)[/tex]
- The fractional part: [tex]\( 0.75 \)[/tex]
3. Convert the fractional part to a fraction:
- The fractional part [tex]\( 0.75 \)[/tex] is the same as [tex]\( \frac{3}{4} \)[/tex].
4. Combine the integer part and the fractional part:
- Therefore, [tex]\( 3.75 \)[/tex] miles as a mixed number is [tex]\( 3 \frac{3}{4} \)[/tex].
So, the distance Ali walked, shown on the number line and written as a mixed number, is [tex]\( 3 \frac{3}{4} \)[/tex] miles.
Overall comparison:
- The distances each student walked are all fairly close, with a range from 3 miles to 3.75 miles.
- Ali walked the farthest distance with [tex]\( 3.75 \)[/tex] miles, followed by Zee with [tex]\( 3.6 \)[/tex] miles. Hayley walked the shortest distance with [tex]\( 3 \)[/tex] miles.
