Flvs.net
  • Flvs.net
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.
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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anonymous
  • anonymous
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
Flvs.net
  • Flvs.net
\[\frac{1}{8} * \frac{3}{2}\ gal._{water} = x\]
Flvs.net
  • Flvs.net
This?

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anonymous
  • anonymous
yup
Flvs.net
  • Flvs.net
What is X?
Flvs.net
  • Flvs.net
What does it equal?
anonymous
  • anonymous
just use the equation and solve yourself
Flvs.net
  • Flvs.net
Well what's the answer?
DanJS
  • DanJS
\[\frac{ 1~bin }{ 1 } * \frac{ 1/ 8 ~gal }{ 2/3~bin } = ~~~gal\]
Flvs.net
  • Flvs.net
I meant
Flvs.net
  • Flvs.net
How do I solve that @DanJS
DanJS
  • DanJS
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
Flvs.net
  • Flvs.net
so I do 1/8 * 2/3?
DanJS
  • DanJS
when dividing a fraction by a fraction, you can flip the bottom one over and multiply it to the top
Flvs.net
  • Flvs.net
Isn't it "keep Change Flip?"
DanJS
  • DanJS
\[\frac{ 1 }{ 8 }*\frac{ 3 }{ 2 }\]
Flvs.net
  • Flvs.net
\[\frac{ 1 }{ 8 } * \frac{ 3 }{ 2 } = \frac{ 3 }{ 16 }\] Is that correct?
DanJS
  • DanJS
yep, 3/16 gal per full bin
Flvs.net
  • Flvs.net
Thank you!

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