If two-third of three-fourth of a number is 34, find the 20% of that number?

Step-by-Step Solution

To solve this, we will represent the number as X and use the information given to find its value, then calculate the required percentage.

1. Translate the problem into an equation:

   • "Two-third of three-fourth of a number is 34"

   • (2 / 3) * (3 / 4) * X = 34

2. Simplify and solve for X:

   • Multiply the fractions: (2 * 3) / (3 * 4) = 6 / 12 = 1 / 2

   • So, (1 / 2) * X = 34

   • X = 34 * 2

   • X = 68

3. Find 20% of the number:

   • 20% of 68 = (20 / 100) * 68

   • 0.2 * 68 = 13.6