which of the following has the greatest value?

5/8
65%
52%
4/7
27%
79%
7/8

change all to % and then it will be easy to compare them

Change the fractions to percentages.

To determine which of the given values has the greatest value, we need to compare them. However, since the values are expressed in different formats (fractions and percentages), it would be helpful to convert them to a common format for comparison.

Let's convert all the given values to decimal form:

5/8 = 5 ÷ 8 = 0.625
65% = 65 ÷ 100 = 0.65
52% = 52 ÷ 100 = 0.52
4/7 ≈ 4 ÷ 7 = 0.571 (approximated to three decimal places)
27% = 27 ÷ 100 = 0.27
79% = 79 ÷ 100 = 0.79
7/8 ≈ 7 ÷ 8 = 0.875 (approximated to three decimal places)

Now, we can compare these decimal values to determine which is the greatest:

0.625 < 0.65 < 0.52 < 0.571 < 0.27 < 0.79 < 0.875

From the comparison, we can see that 0.875 (7/8) is the greatest value among the given options.