gena,freddie,and hank went running.gena ran 1/3 mile,freddie ran 4/7 mile,and hank ran 2/5 mile.who ran the farthest?

Change the fractions to decimals or to fractions with a common denominator.

To find out who ran the farthest among Gena, Freddie, and Hank, we'll compare the distances they ran.

Let's calculate each runner's distance one by one:

Gena ran 1/3 mile.
Freddie ran 4/7 mile.
Hank ran 2/5 mile.

To compare these fractions, we need to ensure they have a common denominator. The least common multiple (LCM) of 3, 7, and 5 is 105.

Now, let's convert the fractions to have a denominator of 105:

Gena's distance = (1/3) × (35/35) = 35/105
Freddie's distance = (4/7) × (15/15) = 60/105
Hank's distance = (2/5) × (21/21) = 42/105

Now, we can compare the distances. Gena ran 35/105 mile, Freddie ran 60/105 mile, and Hank ran 42/105 mile.

Comparing these fractions, we can see that Freddie ran the farthest, with a distance of 60/105 mile.

Therefore, Freddie ran the farthest among the three runners.