6) Three brothers want to buy a video game. The first has ⅓ of the price of this video game, the second has ⅙ and the third 5/12 Do they have enough money to buy this video game together?
To determine if they have enough money to buy the video game together, we need to find the total amount that each brother has, and then add them together.
The first brother has 1/3 of the price.
The second brother has 1/6 of the price.
The third brother has 5/12 of the price.
To add fractions with different denominators, we need to find a common denominator. In this case, the common denominator is 12.
Converting the fractions to have a denominator of 12:
The first brother has (1/3) * (4/4) = 4/12.
The second brother has (1/6) * (2/2) = 2/12.
The third brother has 5/12.
Adding them together:
4/12 + 2/12 + 5/12 = 11/12.
The combined amount they have is 11/12 of the price. Since the total amount is less than the full price, they do not have enough money to buy the video game together.