if 66 2/3 % of 75% of one –eighth of a certain number is 179 ,then 33 1/3% of three-fourth of that number is?Options859.2716537787.6

Sure, let's solve this step by step:

1. First, we need to find the number. According to the problem, 66 2/3 % of 75% of one-eighth of a number is 179.

2. Convert the percentages to fractions: 66 2/3 % is 2/3, 75% is 3/4, and one-eighth is 1/8.

3. Set up the equation: (2/3) * (3/4) * (1/8) * x = 179, where x is the number we're trying to find.

4. Solve for x: x = 179 / [(2/3) * (3/4) * (1/8)] = 21504.

5. Now, we need to find 33 1/3% of three-fourth of that number. Convert the percentage to a fraction: 33 1/3 % is 1/3.

6. Set up the equation: (1/3) * (3/4) * 21504 = 5376.

So, 33 1/3% of three-fourth of the number is 5376.