(−1261)+(+1031)=
To solve this problem, we'll follow these steps:
- Step 1: Convert the mixed numbers to improper fractions.
- Step 2: Find a common denominator and add the fractions.
- Step 3: Convert the resulting improper fraction back into a mixed number.
Let's begin by converting the mixed numbers into improper fractions:
The mixed number −1261 can be converted as follows:
−1261=−(612×6+1)=−673
The mixed number +1031 can be converted as follows:
1031=310×3+1=331
Next, we need a common denominator to add these fractions together. The denominators are 6 and 3, and the least common denominator is 6.
Convert 331 to have the denominator of 6:
331=3×231×2=662
Now, we add the fractions:
−673+662=6−73+62=6−11
Convert 6−11 back into a mixed number:
6−11=−165 (since 11÷6=1 with a remainder of 5)
Therefore, the solution to the problem is −165.