In a given training week, a swimmer completes 3/7 mile on day one, 1/2 mile on day two, and 2/3 mile on day three. How many total miles does the athlete swim in the given week?
a) 6/13
b) 6/42
c) 67/42
d) 7 miles
I'll be glad to check your answer.
151/140 miles
6/13
To find the total miles the swimmer swims in the given week, you need to add up the distances swum on each day.
On day one, the swimmer swims 3/7 mile.
On day two, the swimmer swims 1/2 mile.
On day three, the swimmer swims 2/3 mile.
To add these fractions, you need to have a common denominator. In this case, the common denominator is 42.
Converting the fractions to have a denominator of 42:
Day one: (3/7) * (6/6) = 18/42 mile
Day two: (1/2) * (21/21) = 21/42 mile
Day three: (2/3) * (14/14) = 28/42 mile
Now you can add these fractions together:
18/42 + 21/42 + 28/42
Adding the numerators and keeping the denominator common:
67/42 mile
So, the athlete swims a total of 67/42 mile in the given week.
Therefore, the correct answer is c) 67/42.