Fractions, SM-Bank 039

Three friends are running as a team in a fun run.

Thanh hopes to finish `3/7` of the run, Jamieson is confident he can complete `1/2` of the run and Jules will complete the rest.

What fraction of the fun run does Jules complete? (2 marks)

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`1/14`

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`text(Jules)`

`= 1-(3/7 + 1/2)\ \ text(LCD)\= 14`

`= (1xx14)/(1 xx 14)-((3xx2)/(7 xx 2) + (1 xx 7)/(2 xx 7))`

`= 14/14-(6/14 + 7/14)`

`= 14/14-13/14 = 1/14`

`:.\ text(Jules completes)\ 1/14\ text(of the race)`