## nuccioreggie one year ago Nancy left a bin outside in her garden to collect rainwater. She notices that 1 over 2 gallon of water fills 2 over 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.

1. nuccioreggie

2. nuccioreggie

@Michele_Laino

3. Michele_Laino

we have to compute this: $\frac{1}{2} \times \frac{3}{2} = ...?$

4. nuccioreggie

I think this is the answer but im not sure(1/2) / (2/3) = x / (3/3) --- 1/2 gal to 2/3 bin = x gal to 3/3 bin) cross multiply (2/3)(x) = (1/2)(3/3) 2/3x = 3/3 x = (3/3) / (2/3) x = 3/3 * 3/2 x = 9/6 = 1 1/2 the amount of water that would fill the entire bin is : 1 1/2 gallons or 1.5 gallons

5. Michele_Laino

in order to fill completely a bin, we need 3/2 times 1/2 gallon

6. Z4K4R1Y4

if 1/2 a gallon fills 2/3 of the bin. 1/4 will fill 1/3. therefor 3/4 gallons will fill the whole bin. Is that right?

7. nuccioreggie

Ok can u right the answer out for me explaining plea ese

8. Z4K4R1Y4

if we know how much is needed to fill 2/3. all we need to work out is how much is needed for the last 1/3. do you understand?

9. Z4K4R1Y4

now, half of 2/3 is 1/3. it takes 1/2 a gallon to fill 2/3 so half of that (1/4) will fill 1/3.

10. nuccioreggie

11. Z4K4R1Y4

so if 1/2 a gallon fills 2/3 and 1/4 gallon fills 1/3 of the bin, the full bin will need 1/2 + 1/4 gallons of water which = 3/4 gallons.

12. nuccioreggie

Thank you is he correct @Michele_Laino

13. Michele_Laino

thank you! @nuccioreggie @Z4K4R1Y4

14. Z4K4R1Y4

you're welcome.