Explanation

Let's denote the number as x.

Given that 2/3 of x decreases its 4/5 by 8:

(2/3)x = (4/5)x - 8

To solve for x, let's multiply the entire equation by 15 (the least common multiple of 3 and 5) to eliminate the fractions:

10x = 12x - 120

Subtract 10x from both sides:

0 = 2x - 120

Add 120 to both sides:

120 = 2x

Divide both sides by 2:

x = 60