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Flvs.net

  • one year ago

Medal and Fan Sara left a bin outside in her garden to collect rainwater. She notices that 1/8 gallon of water fills 2/3 of the bin. Write and solve an equation to find the amount of water that will fill the entire bin. Show your work. Explain your answer in words.

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  1. anonymous
    • one year ago
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    So, One-eighth gallon of water will fill two-thirds of the bin. We want the sentence: "x gallons of water will fill three-thirds of the bin." What we do is multiply two-thirds by its reciprocal (three-halves) and make sure we do it on both sides. \frac{1}{8} = \frac{2}{3} x \frac{3}{2} * \frac{1}{8} = x \frac{3}{16}\ gal. = x So your equation would look like this: \frac{1}{8} * \frac{3}{2}\ gal._{water} = x

  2. Flvs.net
    • one year ago
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    \[\frac{1}{8} * \frac{3}{2}\ gal._{water} = x\]

  3. Flvs.net
    • one year ago
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    This?

  4. anonymous
    • one year ago
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    yup

  5. Flvs.net
    • one year ago
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    What is X?

  6. Flvs.net
    • one year ago
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    What does it equal?

  7. anonymous
    • one year ago
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    just use the equation and solve yourself

  8. Flvs.net
    • one year ago
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    Well what's the answer?

  9. DanJS
    • one year ago
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    \[\frac{ 1~bin }{ 1 } * \frac{ 1/ 8 ~gal }{ 2/3~bin } = ~~~gal\]

  10. Flvs.net
    • one year ago
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    I meant

  11. Flvs.net
    • one year ago
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    How do I solve that @DanJS

  12. DanJS
    • one year ago
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    you wanted gallons in 1 bin, so start with 1 bin, multiply that by the given ratio of 1/8 gallon to 2/3 bin... notice it is set up so that the units for bin will cancel... just take care of the numbers

  13. Flvs.net
    • one year ago
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    so I do 1/8 * 2/3?

  14. DanJS
    • one year ago
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    when dividing a fraction by a fraction, you can flip the bottom one over and multiply it to the top

  15. Flvs.net
    • one year ago
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    Isn't it "keep Change Flip?"

  16. DanJS
    • one year ago
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    \[\frac{ 1 }{ 8 }*\frac{ 3 }{ 2 }\]

  17. Flvs.net
    • one year ago
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    \[\frac{ 1 }{ 8 } * \frac{ 3 }{ 2 } = \frac{ 3 }{ 16 }\] Is that correct?

  18. DanJS
    • one year ago
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    yep, 3/16 gal per full bin

  19. Flvs.net
    • one year ago
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    Thank you!

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