the coaches made the players run sprints down the football field to get in shape. the running backs had to run down the field 6 3/4 times. the linemen had to run down the field 6 5/8 times. Which group ran more?
6 5/8 = 6 10/16
6 3/4 = 6 12/16
To determine which group ran more, we need to compare the distances covered by each group.
First, let's convert the distances to a common denominator by finding the least common multiple (LCM) of the denominators.
The denominators are 4 and 8. The LCM of 4 and 8 is 8.
Now, let's convert the fractions to have a denominator of 8:
6 3/4 = 6 * 2/2 + 3/4 = 12/8 + 3/8 = 15/8
6 5/8 = 6 * 1/1 + 5/8 = 6/8 + 5/8 = 11/8
So, the running backs ran 15/8 times down the field, and the linemen ran 11/8 times down the field.
To compare the fractions, we can find a common denominator (which we already did above) and then compare the numerators.
Since 15/8 is greater than 11/8, the running backs ran a greater distance than the linemen.