Final answer:
The total length of the four boards combined is 32.5 inches, achieved by simply adding each board's length together.
the correct option is e.32 ½.
Step-by-step explanation:
To calculate the total length of the cut boards, simply add up the lengths of each board:
- 7½ inches
- 10½ inches
- 9 inches
- 5½ inches
Now, let's add these measurements together:
7.5 (for 7½ inches) + 10.5 (for 10½ inches) + 9 + 5.5 (for 5½ inches) = 32.5 inches
So, the total length of the cut boards is 32.5 inches, which is option e. 32 ½.
To add fractions with like denominators, you add the numerators and keep the denominators the same. In this case, the denominators are all 2. Adding the numerators gives us 7+10+9+5 = 31. So the total length of the cut boards is 31/2 inches. To simplify the fraction, we divide the numerator and denominator by their greatest common factor, which is 1. So the final answer is 15 ½ inches.