x - 1/3 = 4/5
x - 1/3 = 4/5
x = 4/5 + 1/3
Convert the fractions to equivalent fractions with a common denominator.
Add.
1 2/15?
how is it 3/5?
Right. 1 2/15 is the answer. :-)
To solve the equation x - 1/3 = 4/5, we need to isolate the variable x.
The first step is to eliminate the fraction by multiplying every term in the equation by the least common denominator (LCD) of 3 and 5, which is 15 in this case.
So, let's multiply both sides of the equation by 15:
15 * (x - 1/3) = 15 * (4/5)
Now, simplify each side of the equation:
15x - 15/3 = 60/5
Since 15/3 is equal to 5, we can simplify further:
15x - 5 = 60/5
Next, simplify the right side of the equation:
15x - 5 = 12
Now, to isolate the variable x, let's get rid of the -5 by adding 5 to both sides of the equation:
15x - 5 + 5 = 12 + 5
This simplifies to:
15x = 17
Finally, to solve for x, divide both sides of the equation by 15:
(15x)/15 = 17/15
The 15s on the left side cancel out, leaving us with:
x = 17/15
So, the solution to the equation x - 1/3 = 4/5 is x = 17/15.