Question

What percent of 1/4 is 2/3 and what percent of 1/6 is 2/3 ?

Answer 1

To determine what percentage 2/3 is of 1/4, calculate (2/3) / (1/4) * 100, resulting in 266.67%. To find the percentage 2/3 is of 1/6, calculate (2/3) / (1/6) * 100, resulting in 400%.

Step-by-step explanation:

Understanding Percentages of Fractions

When finding the percent of a fraction, you are essentially calculating what part of 100 the fraction represents. To find what percent 2/3 is of 1/4, you need to set up a proportion such that 2/3 is to 1/4 as x is to 100.

To solve this, you divide 2/3 by 1/4 and then multiply by 100:

Percent = (2/3) / (1/4) * 100

Percent = (2/3) * (4/1) * 100

Percent = 8/3 * 100

Percent = 800/3

Percent = 266.67%

Similarly, to find what percent 2/3 is of 1/6, you can use the same approach by dividing 2/3 by 1/6 and then multiplying by 100.

Percent = (2/3) / (1/6) * 100

Percent = (2/3) * (6/1) * 100

Percent = 12/3 * 100

Percent = 400%

Therefore, 2/3 is 266.67% of 1/4, and 400% of 1/6.

Answer 2

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%