X + 1/10 = 29/90

1 answer

To solve the equation, we need to isolate the variable X.

Subtracting 1/10 from both sides of the equation, we have:

X = 29/90 - 1/10.

To add these fractions together, we need to find a common denominator.

The least common multiple of 90 and 10 is 90.

Converting 1/10 into the denominator 90, we get 9/90.

Therefore, X = 29/90 - 9/90.

Subtracting the fractions, we have:

X = (29 - 9) / 90.

Simplifying the numerator, we get:

X = 20/90.

This fraction can be simplified further by dividing both the numerator and denominator by their greatest common divisor, which is 10.

Dividing 20 by 10 and 90 by 10, we have:

X = 2/9.

Therefore, the solution to the equation X + 1/10 = 29/90 is X = 2/9.