Question

Four adventures find a buried treasure on a deserted island.sally convinces Tina and Meg to accept 1/6 of the treasure each and Tracey to accept 5/12 of the treasure. How much is left for sally

Answer 1

1/4 of the treasure is left for Sally.

Explanation:

According to the information given, Tina and Meg each receive 1/6 of the treasure, and Tracey receives 5/12 of the treasure. To calculate how much is left for Sally, we can subtract the given fractions from one (since one represents the whole treasure):

`\textsf{Amount for Sally}=1-(1)/(6)-(1)/(6)-(5)/(12)`

Begin by rewriting each fraction so that it has the same denominator:

`\begin{aligned}\textsf{Amount for Sally}&=1-(1* 2)/(6* 2)-(1* 2)/(6* 2)-(5)/(12)\\\\&=1-(2)/(12)-(2)/(12)-(5)/(12)\end{aligned}`

Now, rewrite 1 as a fraction with denominator 12:

`=(12)/(12)-(2)/(12)-(2)/(12)-(5)/(12)`

As all the fractions now have the same denominator, we can simply subtract the numerators:

`\begin{aligned}&=(12-2-2-5)/(12)\\\\&=(3)/(12)\end{aligned}`

Finally, we can reduce the fraction to its simplest form by dividing the numerator and denominator by the greatest common factor of 3:

`\begin{aligned}&=(3/ 3)/(12/ 3)\\\\&=(1)/(4)\end{aligned}`

So, the portion of treasure left for Sally is 1/4 of the treasure .