(−51)+(+331)=
To solve this problem, we'll follow these steps:
- Step 1: Convert 331 to an improper fraction.
- Step 2: Find a common denominator for −51 and the improper fraction.
- Step 3: Add the fractions.
- Step 4: Simplify the result, converting it back to a mixed number if necessary.
Now, let's work through each step:
Step 1: Convert 331 to an improper fraction.
331=33×3+1=310
Step 2: Find a common denominator for −51 and 310.
The least common denominator of 5 and 3 is 15.
Step 3: Express each fraction with the common denominator:
−51=−153 (multiply the numerator and denominator by 3)
310=1550 (multiply the numerator and denominator by 5)
Step 4: Add the fractions:
−153+1550=15−3+50=1547
Step 5: Simplify 1547 back to a mixed number if needed:
Performing the division, 47 divided by 15 is 3 with a remainder of 2.
Therefore, 1547=3152.
Therefore, the solution to the problem is 3152.