Question

Evan, Claire, Jaya and Tim are running a 3 km relay race. Evan ran 7/8 of a km,

Claire ran 11/12 of a km, and Jaya ran 3/4 of a km.

What fraction of a km does Tim need to run to finish the race?
[3]​

Answer 1

11/24

Explanation:

7/8 + 11/12 + 3/4 + x = 3 km

7*3/8*3 = 21 / 24

11*2 / 12 * 2 = 22 /24

3*6 / 4*6 = 18/24

21/24 + 22/24 + 18/24 + x = 3

61 / 24 + x = 3

x = 72/24 - 61/24

x = 11 / 24

Tim has to run 11/24 of the race