x - 3/4 + 1/6 = 1 5/12
x - 3/4 + 1/6 = 1 5/12
x - 3/4 + 1/6 = 17/12
multiply everybody by 1
12x - 9 + 2 = 17
now it is a piece of cake!
how did you get 12x?
oops, the "2" key must be sticking
that line should have said
multiply everybody by 12
To solve the equation x - 3/4 + 1/6 = 1 5/12, we need to simplify the equation and isolate the variable x.
First, we can start by combining the fractions on the left side of the equation.
To combine fractions, we need to find a common denominator. The lowest common denominator (LCD) for 4 and 6 is 12.
Multiplying the numerator and denominator of the first fraction (3/4) by 3 will give us a denominator of 12:
3/4 * 3/3 = 9/12
Multiplying the numerator and denominator of the second fraction (1/6) by 2 will give us a denominator of 12:
1/6 * 2/2 = 2/12
Now, our equation becomes:
x - 9/12 + 2/12 = 1 5/12
Next, we can add the fractions on the left side of the equation:
x - 9/12 + 2/12 = (x - 9 + 2)/12 = (x - 7)/12
Our equation becomes:
(x - 7)/12 = 1 5/12
To get rid of the fraction on the right side of the equation, we can first convert the whole number to a fraction with the same denominator as 12:
1 5/12 = (12/12) + 5/12 = 17/12
Our equation now becomes:
(x - 7)/12 = 17/12
Since the denominators are the same, we can eliminate them and solve for x:
x - 7 = 17
To isolate x, we can add 7 to both sides of the equation:
x - 7 + 7 = 17 + 7
x = 24
Therefore, the solution to the equation x - 3/4 + 1/6 = 1 5/12 is x = 24.