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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?

Respuesta :

Answer:

8/9

Step-by-step explanation:

The proportion of the treasure which Johnny got [tex]= \dfrac{1}{3}[/tex]

The proportion of the treasure which  Elizabeth got [tex]=\dfrac{5}{9}[/tex]

Together, the proportion of the treasure which they got

[tex]= \dfrac{1}{3}+\dfrac{5}{9}[/tex]

Take the LCM of the denominators

LCM of 3 and 9 is 9.

Therefore:

[tex]\dfrac{1}{3}+\dfrac{5}{9} \\\\=\dfrac{3+5}{9}\\\\=\dfrac{8}{9}[/tex]

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

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