Victor jogged 8 3/7 km on Monday and 7 4/6km on Tuesday. What is the difference between these two distances

Answer 1

Hi S.E.

What is the "DIFFERENCE" in math means to subtract 8 3/7 - 7 4/6

To add or subtract with fractions, a common denominator is needed.

To get a single, common denominator, need to change each of these out of a "mixed number" and into a singe, useful fraction.

So 8 3/7 = 8*7 +3 = 59/7

and

7 4/6 = 7 2/3 = 7*3 +2 = 23/3

So now the problem becomes 59/7 - 23/3

The common denominator here is 7*3 = 21, so multiply the first fraction by (3/3) to get a denom of 21. And multiply the second fraction by (7/7) to get a denom of 21

59(3)/7(3) =177/21

23(7)/(3(7) = 161/21

Now you have a common denominator, so concentrate on the top (numerator).

(177 - 161)/21 = 16/21

The difference between these two distances is 16/21 km. (approx 0.7619 km)