(+241)+(−2412)=
To solve this problem, we'll follow these steps:
- Step 1: Convert the mixed number to an improper fraction.
- Step 2: Simplify the negative fraction, if necessary.
- Step 3: Find the least common denominator (LCD) to add both fractions.
- Step 4: Perform the addition of the two fractions.
- Step 5: Simplify the result or convert back to a mixed number.
Now, let's work through each step:
Step 1: The mixed number 241 is converted to the improper fraction 49 because 2×4+1=9.
Step 2: The fraction −2412 simplifies to −21 because 2412=21.
Step 3: The least common denominator for 49 and −21 is 4. We rewrite −21 with this denominator: −21≡−42.
Step 4: Add the fractions: 49+(−42)=49−2=47.
Step 5: Convert 47 back to a mixed number: 143.
Therefore, the solution to the problem is 143.