Explanation:

To solve the given equation, "X upon 2 X upon 4 = 1 upon 8," we need to simplify the expression and find the value of X.

Step 1: Combining like terms
The given equation can be simplified by combining the fractions on the left side:

X/2 + X/4 = 1/8

Step 2: Finding a common denominator
To add or subtract fractions, we need to have a common denominator. In this case, the common denominator for 2 and 4 is 4.

X/2 can be expressed as X * (4/4) = 4X/8
X/4 remains the same

So, the equation becomes:

4X/8 + X/4 = 1/8

Step 3: Adding the fractions
Now that we have a common denominator, we can add the fractions:

(4X + 2X)/8 = 1/8

Simplifying the numerator:

6X/8 = 1/8

Step 4: Cancelling out common factors
To further simplify the equation, we can cancel out the common factors in the numerator and denominator. In this case, both sides can be divided by 2:

(6X/2) / (8/2) = (1/8) / (2/2)

3X/4 = 1/4

Step 5: Cross-multiplication
To eliminate the fractions, we can cross-multiply:

(3X * 4) = (1 * 4)

12X = 4

Step 6: Solving for X
Finally, we can solve for X by dividing both sides of the equation by 12:

(12X)/12 = 4/12

X = 1/3

Conclusion:
The value of X that satisfies the equation "X upon 2 X upon 4 = 1 upon 8" is X = 1/3.