Find answers to your most challenging questions with the help of IDNLearn.com's experts. Discover comprehensive answers to your questions from our community of knowledgeable experts.
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.
We greatly appreciate every question and answer you provide. Keep engaging and finding the best solutions. This community is the perfect place to learn and grow together. Find the answers you need at IDNLearn.com. Thanks for stopping by, and come back soon for more valuable insights.
