Solve 2/12x-3/12=8/12
multiply each term by 12
2x - 3 = 8
2x = 11
x = 11/2 or 5.5
Rebekah's recipe for 4 1/2 dozen cookies calls for 6 cups of sugar. How many cups of sugar are needed to make 8 dozen cookies?
3-12/3-2-8/15
To solve the equation 2/12x - 3/12 = 8/12, we can follow these steps:
Step 1: Simplify the fractions on both sides of the equation.
Here, all fractions have the same denominator (12), so we can skip this step.
Step 2: Combine like terms on both sides of the equation.
On the left side, we have 2/12x - 3/12. Since the denominators are the same, we can subtract the numerators:
2/12x - 3/12 = (2 - 3)/12x = -1/12x.
The equation now becomes:
-1/12x = 8/12.
Step 3: Multiply both sides of the equation by the reciprocal of -1/12 (which is -12/1) to remove the fraction.
Multiplying both sides by -12/1 gives us:
(-12/1) * (-1/12x) = (-12/1) * (8/12).
This simplifies to:
x = -96/12.
Step 4: Simplify the right side of the equation.
-96/12 can be further simplified by dividing both the numerator and denominator by their greatest common divisor (GCD), which is 12:
x = -8/1.
Therefore, the solution to the equation is x = -8/1, or simply x = -8.