−41−(−81)+61=
To solve this problem, we'll follow these steps:
- Step 1: Simplify the double negative in the expression.
- Step 2: Find a common denominator for the fractions.
- Step 3: Convert and add/subtract the fractions with the common denominator.
Now, let's work through each step:
Step 1: Simplify −(−81) to get 81. Thus, the expression becomes −41+81+61.
Step 2: Find a common denominator for the fractions −41, 81, and 61.
The denominators are 4, 8, and 6. The least common multiple (LCM) of these numbers is 24.
Step 3: Convert each fraction to have the common denominator of 24:
−41=−246
81=243
61=244
Now, perform the addition and subtraction:
−246+243+244=(−6+3+4)/24=1/24.
Therefore, the solution to the problem is 241.