7/12=3m/6-m/3+1/4
Hint: clear the fractions by multiplying the equation by the LCD.
Example:
x/3 + 1/6 = 1/2
2x/6 + 1/6 = 3/6
2x + 1 = 3
2x = 2
x = 1
is m .8
No, it isn't.
then waht is it
7/12 = 3m/6 - m/3 + 1/4
7 = 6m - 4m + 3
4 = 2m
m = 2
To solve the given equation: 7/12 = 3m/6 - m/3 + 1/4, we can follow these steps:
Step 1: Find a common denominator for all the fractions in the equation. In this case, the common denominator is 12.
Step 2: Rewrite the equation with the common denominator:
7/12 = (3m * 2)/(6 * 2) - (m * 4)/(3 * 4) + 3/12.
Simplifying further:
7/12 = 6m/12 - 4m/12 + 3/12
Step 3: Combine like terms by adding or subtracting the numerators of the fractions that have the same denominator:
7/12 = (6m - 4m + 3)/12
Simplifying further:
7/12 = (2m + 3)/12
Step 4: Cross-multiply to eliminate the denominator:
12 * 7 = 2m + 3
84 = 2m + 3
Step 5: Isolate the term with m by subtracting 3 from both sides of the equation:
84 - 3 = 2m + 3 - 3
81 = 2m
Step 6: Solve for m by dividing both sides of the equation by 2:
81/2 = 2m/2
40.5 = m
So, the solution to the equation 7/12 = 3m/6 - m/3 + 1/4 is m = 40.5.