Fractions
We are given the distance traveled by a sloth as d=1/3 meters and the time it took of t=1/10 minute.
The speed can be calculated as
![v=(d)/(t)](https://img.qammunity.org/2023/formulas/mathematics/college/7bvf02ex7prlyl84jiizv8vikm7s8zddn1.png)
Substituting values:
![v=((1)/(3))/((1)/(10))](https://img.qammunity.org/2023/formulas/mathematics/college/ypiql15tx0dctnuaojlzwyte339p2ziu0w.png)
To divide the fractions, we multiply by the reciprocal of the denominator:
![v=(1)/(3)\cdot(10)/(1)=(10)/(3)](https://img.qammunity.org/2023/formulas/mathematics/college/8lyk4c7bfmc71db44r5wzpau7k2qroltum.png)
Since the distance was given in meters and the time was given in minutes, the speed is calculated in m/min.
The sloth's running speed is 10/3 m/min