Question

Kyle ran 2/3 mi on Monday,1 1/6 mi on Tuesday, and 7/12 mi on Wednesday.

How many total miles did Kyle run?

Express the answer in simplest form.

Answer 1

`(2)/(3)+1 (1)/(6)+ (7)/(12) \\ \\ (2)/(3)+ 1 (1)/(6)= (2)/(3)+ (1*6+1)/(6)= (7)/(6)+ (2)/(3)= (2*2)/(3*2)= (4)/(6)+ (7)/(6)= (11)/(6)=1 (5)/(6) \\ \\ (7)/(12)+1 (5)/(6)= (11*2)/(6*2)= (22)/(12) + (7)/(12) = (29)/(12)=2 (5)/(12)`

Answer 2

you would change the denominators to the least common multiple, in this case, 12. then you would change the fractions to 8/12, 14/12, and 7/12. you would add those, and get 29/12. divide 29 by 12, and get 2. add the rest to get 2 5/12.