Answer:
Step-by-step explanation:
Let's denote the length of each lap around the track as L (in miles). Steve ran 2 laps, so the total distance is 2L .
According to the given information, the total distance Steve ran is [tex]9\frac{2}{3}[/tex] miles. Therefore, we can set up the equation:
2L = [tex]9\frac{2}{3}[/tex]
Now, let's solve for L:
L = [tex]\frac{9 \frac{2}{3}}{2}[/tex]
To simplify this, first, convert the mixed number to an improper fraction:
L = [tex]\frac{29}{3} \div 2[/tex]
When you divide by 2, you can multiply the numerator (29) by the reciprocal of the denominator (2):
L = [tex]\frac{29}{3} \times \frac{1}{2}[/tex]
L = [tex]\frac{29 \times 1}{3 \times 2}[/tex]
L = [tex]\frac{29}{6}[/tex]
So, each lap around the track is [tex]\frac{29}{6}[/tex] miles.
