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.