692+132+195=
To solve this problem, we will follow these steps:
- Step 1: Convert each mixed number into an improper fraction.
- Step 2: Identify the least common denominator (LCD) for the fractions.
- Step 3: Add the fractions together.
- Step 4: Convert the resulting improper fraction back to a mixed number.
Now, let's work through each step in detail:
Step 1: Convert each mixed number into an improper fraction.
- 692=9(6×9)+2=954+2=956
- 132=3(1×3)+2=33+2=35
- 195=9(1×9)+5=99+5=914
Step 2: Identify the least common denominator (LCD) for the fractions.
The denominators are 9 and 3. The least common multiple of these is 9.
Step 3: Add the fractions.
- First, convert all fractions to have the same denominator.
- 35 should be converted: 3×35×3=915.
- Add: 956+915+914=985.
Step 4: Convert 985 back to a mixed number.
- Perform the division: 85÷9=9 remainder 4.
- Therefore, 985=994.
Therefore, the solution to the problem is 994.