Answer: 5.16666667 or just 5 1/6
Step-by-step explanation:
To add 3 1/2 and 1 2/3, we’ll follow these steps:
Convert the mixed numbers to improper fractions:
3 1/2 becomes 7/2 (since 3 multiplied by 2 plus 1 equals 7, and the denominator remains 2).
1 2/3 becomes 5/3 (since 1 multiplied by 3 plus 2 equals 5, and the denominator remains 3).
Add the fractions:
7/2 + 5/3:
To find a common denominator, multiply the denominators: 2 × 3 = 6.
Adjust the numerators accordingly:
7/2 becomes 21/6 (multiply numerator by 3).
5/3 becomes 10/6 (multiply numerator by 2).
Add the adjusted numerators: 21/6 + 10/6 = 31/6.
Simplify the result:
Divide the numerator by the denominator: 31 ÷ 6.
The quotient is 5, with a remainder of 1.
Therefore, the final result is 5 1/6.
In summary, 3 1/2 + 1 2/3 = 5 1/6.
