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Karen collects 6/7 qt rainwater. She uses 1/2 of the water to clean her bicycle and uses the remaining water equally for 3 houseplants. What volume of water does she use for each houseplant?

Verified Answer :

rangerdanger57

Half of 6/7 is 3/7. To divide a fraction simply multiply across. So with 6/7 divided by 1/2  you would multiply the 6 by the one and the 7 by the 2 and you get 6/14 which reduced is 3/7. With this problem the rest is easy because you have 3/7 and three plants so each plant gets 1/7qt

Answer:

Karen uses 5/42 of volume of water for each houseplant.

Step-by-step explanation:

Givens:

  • Karen collects \(\frac{6}{7}\) of rainwater.
  • She uses \(\frac{1}{2}\) of the water to clean her bicycle.

After she uses water to clean the bicycle, the remaining would be the difference between

\(\frac{6}{7}-\frac{1}{2}=\frac{12-7}{14}=\frac{5}{14}\)

So, after she cleans her bicycle, the remaining of water would be 5/14.

Now, if she uses this remaining water for 3 houseplants, we just have to divide by 3:

\(\frac{5}{14} \div 3=\frac{5}{14} \times \frac{1}{3}=\frac{5}{42\alpha }\)

Therefore, Karen uses 5/42 of volume of water for each houseplant.