Answer: 1/2
Explanation:
To solve the equation (5/6) - m = 1/6, you can follow these steps:
Step 1: Simplify both sides of the equation if possible.
The left side of the equation can be simplified by subtracting 1/6 from 5/6:
(5/6) - (1/6) = 4/6
Now the equation becomes:
4/6 - m = 1/6
Step 2: Further simplify the equation if needed.
The left side of the equation can be simplified by simplifying the fraction 4/6:
4/6 = 2/3
Now the equation becomes:
2/3 - m = 1/6
Step 3: Isolate the variable 'm' on one side of the equation.
To isolate 'm', we can subtract 2/3 from both sides of the equation:
2/3 - m - 2/3 = 1/6 - 2/3
Simplifying this, we get:
-m = 1/6 - 2/3
Step 4: Continue simplifying and solving for 'm'.
To subtract fractions, we need a common denominator. The common denominator for 6 and 3 is 6. Rewriting the right side with a common denominator:
-m = 1/6 - 4/6
Simplifying the right side:
-m = -3/6
Step 5: Solve for 'm' by multiplying both sides of the equation by -1.
Multiplying both sides by -1:
-1 * (-m) = -1 * (-3/6)
m = 3/6
Step 6: Simplify the fraction.
The fraction 3/6 can be simplified by dividing both the numerator and denominator by their greatest common divisor, which is 3:
m = (3/3) / (6/3)
m = 1/2
Therefore, the solution to the equation (5/6) - m = 1/6 is m = 1/2.