732+661+491=?
To solve this problem, we'll follow these steps:
- Step 1: Convert mixed numbers to improper fractions.
- Step 2: Find a common denominator.
- Step 3: Add the fractions.
- Step 4: Convert the resulting improper fraction back to a mixed number.
Now, let's work through each step:
Step 1: Convert each mixed number to an improper fraction.
- 732=37×3+2=323
- 661=66×6+1=637
- 491=94×9+1=937
Step 2: Find a common denominator for the fractions.
The denominators are 3, 6, and 9. The least common multiple (LCM) is 18.
Step 3: Convert all fractions to have this common denominator.
- 323=3×623×6=18138
- 637=6×337×3=18111
- 937=9×237×2=1874
Step 4: Add the fractions.
18138+18111+1874=18323
Step 5: Convert this improper fraction back to a mixed number.
Divide 323 by 18.
323÷18=17 with a remainder of 17, so
18323=171817
Therefore, the solution to the problem is 171817.
171817