Mark is training for a mini triathlon. He rode his bike 3/4 mile, ran 5/6 mile, and swam 10/12 mile each day for 7 days . What combined distance did Mark exercise during the week?

Respuesta :

we know that
each day
rode his bike -------> 3/4 mile------> 9/12 miles  (multiply by 3 both members)
ran --------------------> 5/6 mile-----> 10/12 miles (multiply by 2 both members)
swam ----------------------> 10/12 mile

[
combined distance each day]=(9/12)+(10/12)+(10/12)----> 29/12 miles
[combined distance each week]=7*29/12--------> 203/12 miles

the answer is
203/12 miles

The combined distance for the whole week is (203/12) miles = 16.92 miles.

What distance did Mark exercise during the week?

First, we know that each day Mark does:

  • bikes 3/4 miles
  • runs 5/6 miles
  • swims 10/12 miles.

Then the total distance for each day is:

(3/4 + 5/6 + 10/12) miles

We need to use a common denominator, we will use 12, then we multiply and divide the first fraction by 3 and the second fraction by 2.

(9/12 + 10/12 + 10/12) miles = (29/12) miles.

That is in a single day, and a week has 7 days, then for the whole week the distance is:

d = 7*(29/12) mi = (203/12) miles.

If you want to learn more about fractions, you can read:

https://brainly.com/question/11562149

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