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Answer:

The percentages are 267% and 400% respectively.

Step-by-step explanation:

To find the answers of these, you need to divide the second number by the first. This will give you the percentage.

2/3 ÷ 1/4 = 8/3 = 2.67 = 267%

You can do the same for the second one.

2/3 ÷ 1/6 = 12/3 = 4 = 400%

The percentage value of 1/4 is 37.5% and the percentage value of 1/6 is 25% and this can be determined by using the unitary method.

Given :

Numbers - 1/4 and 2/3 ; 1/6 and 2/3

The unitary method can be used to determine the percent of 1/4 is 2/3 and 1/6 is 2/3. In this method, single unit is determined and then the necessary unit.

If 2/3 is the 100% value then the percentage value of 1/4 will be:

[tex]=\dfrac{\dfrac{1}{4}}{\dfrac{2}{3}}\times 100[/tex]

[tex]=\dfrac{3}{8}\times 100[/tex]

= 37.5%

Now, if 2/3 is the 100% value then the percentage value of 1/6 will be:

[tex]=\dfrac{\dfrac{1}{6}}{\dfrac{2}{3}}\times 100[/tex]

[tex]=\dfrac{3}{12}\times 100[/tex]

= 25%

Therefore, the percentage value of 1/4 is 37.5% and the percentage value of 1/6 is 25%.

For more information, refer to the link given below:

https://brainly.com/question/16807456

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