To solve this equation, we need to isolate the variable "m".
Given: -1 3/4 = m + (-1/2)
First, let's change the mixed number -1 3/4 to an improper fraction to simplify the equation.
The whole number part (-1) is equivalent to -4/4. Thus, we have:
-4/4 + 3/4 = m - 1/2
Next, we need to add the fractions on the left side:
(-4 + 3)/4 = m - 1/2
(-1)/4 = m - 1/2
To eliminate the fraction, we can multiply through by the common denominator of 4:
4 * (-1)/4 = 4 * (m - 1/2)
-1 = 4m - 2
Now, move the constant term (-2) to the other side:
-1 + 2 = 4m - 2 + 2
1 = 4m
Finally, divide both sides of the equation by 4 to solve for m:
1/4 = 4m/4
1/4 = m
Therefore, the solution to the equation is m = 1/4.
Solve the equation below. Show all of your work
-1 3/4 = m + (-1/2)
1 answer
1 answer