Question

Johnny and Elizabeth were playing a video game and trying to get all of the treasure. Johnny got \dfrac{1}{3} 3 1 ​ start fraction, 1, divided by, 3, end fraction of the treasure. Elizabeth got \dfrac{5}{9} 9 5 ​ start fraction, 5, divided by, 9, end fraction of the treasure. Together, Johnny and Elizabeth got what fraction of the treasure?

Answer 1

8/9

Explanation:

The proportion of the treasure which Johnny got
`= (1)/(3)`

The proportion of the treasure which Elizabeth got
`=(5)/(9)`

Together, the proportion of the treasure which they got

`= (1)/(3)+(5)/(9)`

Take the LCM of the denominators

LCM of 3 and 9 is 9.

Therefore:

`(1)/(3)+(5)/(9) \\\\=(3+5)/(9)\\\\=(8)/(9)`

Together, Johnny and Elizabeth got 8/9 of the treasure.