I know 7/9 - x = 1/36 is 3/4 but how do I show the work
7/9 - x = 1/36
find LCD, LCD = 36
28/36 - x = 1/36
28/36 - 1/36 = x
27/36 = x
reduce fraction
3/4 = x
7/9 - x = 1/36
7/9 - 1/36 = x
28/36 - 1/36 = x
27/36 = x
Divide 27 and 36 by 9.
27/36 = 3/4
To show the work for solving the equation 7/9 - x = 1/36, follow these steps:
Step 1: Start by isolating the variable term. In this case, the variable term is -x. To isolate it, we can subtract 7/9 from both sides of the equation:
(7/9 - x) - 7/9 = 1/36 - 7/9
Simplifying the left side of the equation, we have:
- x = 1/36 - 7/9
Step 2: Calculate the common denominator for the fraction on the right side of the equation. In this case, it would be 36, since both fractions have denominators of 36 and 9 can be multiplied by 4 to get 36.
Rewriting both fractions with the common denominator, we have:
- x = 1/36 - (7/9) * (4/4)
Step 3: Simplify the right-hand side of the equation by performing the multiplication:
- x = 1/36 - 28/36
Step 4: Subtract the fractions on the right side:
- x = (1 - 28)/36
Simplifying further:
- x = -27/36
Step 5: Divide both the numerator and denominator by their greatest common divisor, which in this case is 9:
- x = (-27 ÷ 9)/(36 ÷ 9)
Simplifying:
- x = -3/4
Therefore, the value of x that satisfies the equation 7/9 - x = 1/36 is -3/4.