jan gas tank is nearly empty at 1/12 full, she does not have enough gas to fill the tank but she has enough gas to reach 2/3 fill how much gas does she need to add to fill the fraction of a tank
First 1/12 & 2/3 lcm and you have to subtract from it them you will get the answer
I hope you understood
1/3
To calculate the amount of gas Jan needs to add to fill the tank, let's determine the fraction of the tank that is already full.
Given that the tank is nearly empty at 1/12 full, this means there are 11/12 of the tank still empty.
Since Jan has enough gas to reach 2/3 full, this means she needs to fill 2/3 - 1/12 = 22/36 - 3/36 = 19/36 of the tank.
Therefore, Jan needs to add 19/36 of the tank's capacity in gas to fill it completely.
To find out how much gas Jan needs to add to fill the tank from 1/12 full to its full capacity, we'll need to calculate the difference between the two fractions.
First, let's determine the fraction of the tank that is empty. The given information states that the tank is 1/12 full. Therefore, the fraction of the tank that is empty is:
1 - 1/12 = 12/12 - 1/12 = 11/12
Next, let's determine the fraction of the tank that needs to be filled. The given information states that Jan has enough gas to reach 2/3 full. Therefore, the fraction of the tank that still needs to be filled is:
2/3 - 1/12 = 8/12 - 1/12 = 7/12
To fill the fraction of the tank that is empty, Jan needs to add the fraction of the tank that still needs to be filled, which is 7/12.
Therefore, Jan needs to add 7/12 of a tank of gas to reach a full tank.