Get the answers you need at Westonci.ca, where our expert community is always ready to help with accurate information. Experience the convenience of getting accurate answers to your questions from a dedicated community of professionals. Get quick and reliable solutions to your questions from a community of experienced experts on our platform.
Sagot :
Meg used 15 gallons. First you find the lowest common denominator to add 11 1/2 and 6 4/5, which is 10. What you do to the bottom you have to do to the top. You multiply 2 and 5, which gives you 10. 1 times 5 is 5... 11 5/10. 2 times 5 is 10, 4 times 2 is 8... 6 8/10. Add 11 5/10 and 6 8/10 and it gives you 18 3/10. To find out how much she used subtract the total amount she bought and how much she returned home with. The fractions cancel out since 3/10 minus 3/10 equals 0. You're just left with 18 minus 3, which is 15.
Answer:
Hence, the amount of gas she used on the trip is:
15 gallons.
Step-by-step explanation:
Meg started her trip with 11 1/2 gallons of gas in her car's tank.
i.e. we can represent the mixed fraction 11 1/2 in fraction as:
[tex]11\frac{1}{2}=\dfrac{23}{2}gallons[/tex]
She bought an additional 6 4/5 gallons on her trip.
i.e. we can represent the mixed fraction 6 4/5 in fraction as:
[tex]6\frac{4}{5}=\dfrac{34}{5}gallons[/tex]
Hence, the amount of gas filled in tank:
[tex]=\dfrac{23}{2}+\dfrac{34}{5}\\\\=\dfrac{23\times 5+34\times 2}{10}\\\\=\dfrac{115+68}{10}\\\\=\dfrac{183}{10}gallons[/tex]
now after coming back home the amount of gas left in the car tank is:
3 3/10 gallons ; which could be represented in fraction as:
[tex]3\frac{3}{10}=\dfrac{33}{10}[/tex]
Amount of gas used in the trip is:
=Amount of gas filled-gas remaining
[tex]=\dfrac{183}{10}-\dfrac{33}{10}\\\\=\dfrac{183-33}{10}\\\\=\dfrac{150}{10}\\\\=15gallons[/tex]
Hence, the amount of gas she used on the trip is:
15 gallons.
Thank you for visiting our platform. We hope you found the answers you were looking for. Come back anytime you need more information. We hope you found this helpful. Feel free to come back anytime for more accurate answers and updated information. Get the answers you need at Westonci.ca. Stay informed by returning for our latest expert advice.
