two strips of fabric measure 14 2/3 inches and 20 7/8 inches in length. to form one length, the strips are sew together using 3/8 inch from each strip to make the seam. what is the final length of the fabric after the two strips are sewn together.

This helped a lot thanks

To find the final length of the fabric after the two strips are sewn together, follow these steps:

Step 1: Convert the mixed numbers into improper fractions.
- 14 2/3 inches = (3 × 14 + 2) / 3 = 44/3 inches
- 20 7/8 inches = (8 × 20 + 7) / 8 = 167/8 inches

Step 2: Subtract the seam allowances from each strip.
- For the first strip: 44/3 inches - 3/8 inch = (44/3 * 8/8) - (3/8) = 352/24 - 3/8 = 347/24 inches
- For the second strip: 167/8 inches - 3/8 inch = (167/8 * 3/3) - (3/8) = 501/24 - 3/8 = 495/24 inches

Step 3: Add the lengths of the adjusted strips together.
- 347/24 inches + 495/24 inches = (347 + 495) / 24 inches = 842/24 inches

Step 4: Simplify the fraction, if necessary.
- The fraction 842/24 is already in its simplified form. However, we can divide both the numerator and denominator by 2 to simplify it even further.
- Simplified fraction: 421/12 inches

Therefore, the final length of the fabric after the two strips are sewn together is 421/12 inches.

14 2/3 = 14 16/24

20 7/8 = 20 21/24
3/8 = 9/24

14 16/24 + 20 21/24 + 18/24 = ?

Simplify your answer.