Discover the answers you need at Westonci.ca, a dynamic Q&A platform where knowledge is shared freely by a community of experts. Experience the ease of finding quick and accurate answers to your questions from professionals on our platform. Get quick and reliable solutions to your questions from a community of experienced experts on our platform.
Sagot :
To determine how much gas Jan added to her tank, we start with the initial and final amounts of gas in the tank.
1. Initial amount of gas: [tex]\(\frac{1}{12}\)[/tex] of the tank
2. Final amount of gas: [tex]\(\frac{2}{3}\)[/tex] of the tank
We need to find the difference between the final amount and the initial amount to determine how much gas Jan added. This difference can be calculated as follows:
[tex]\[ \text{Gas added} = \text{Final amount} - \text{Initial amount} \][/tex]
Let’s plug in the given values:
[tex]\[ \text{Gas added} = \frac{2}{3} - \frac{1}{12} \][/tex]
To perform this subtraction, we need to have a common denominator. The least common denominator (LCD) of 3 and 12 is 12. We will convert [tex]\(\frac{2}{3}\)[/tex] to a fraction with a denominator of 12:
[tex]\[ \frac{2}{3} = \frac{2 \times 4}{3 \times 4} = \frac{8}{12} \][/tex]
Now we can directly subtract [tex]\(\frac{1}{12}\)[/tex] from [tex]\(\frac{8}{12}\)[/tex]:
[tex]\[ \frac{8}{12} - \frac{1}{12} = \frac{8 - 1}{12} = \frac{7}{12} \][/tex]
Therefore, the amount of gas Jan added to her tank is:
[tex]\[ \frac{7}{12} \][/tex]
So, the correct answer is [tex]\(\frac{7}{12}\)[/tex].
1. Initial amount of gas: [tex]\(\frac{1}{12}\)[/tex] of the tank
2. Final amount of gas: [tex]\(\frac{2}{3}\)[/tex] of the tank
We need to find the difference between the final amount and the initial amount to determine how much gas Jan added. This difference can be calculated as follows:
[tex]\[ \text{Gas added} = \text{Final amount} - \text{Initial amount} \][/tex]
Let’s plug in the given values:
[tex]\[ \text{Gas added} = \frac{2}{3} - \frac{1}{12} \][/tex]
To perform this subtraction, we need to have a common denominator. The least common denominator (LCD) of 3 and 12 is 12. We will convert [tex]\(\frac{2}{3}\)[/tex] to a fraction with a denominator of 12:
[tex]\[ \frac{2}{3} = \frac{2 \times 4}{3 \times 4} = \frac{8}{12} \][/tex]
Now we can directly subtract [tex]\(\frac{1}{12}\)[/tex] from [tex]\(\frac{8}{12}\)[/tex]:
[tex]\[ \frac{8}{12} - \frac{1}{12} = \frac{8 - 1}{12} = \frac{7}{12} \][/tex]
Therefore, the amount of gas Jan added to her tank is:
[tex]\[ \frac{7}{12} \][/tex]
So, the correct answer is [tex]\(\frac{7}{12}\)[/tex].
Thank you for choosing our platform. We're dedicated to providing the best answers for all your questions. Visit us again. We hope this was helpful. Please come back whenever you need more information or answers to your queries. Stay curious and keep coming back to Westonci.ca for answers to all your burning questions.