A carpenter had a 20-foot piece of lumber from which he cut three pieces.one piece was 6 1/2 feet long and the other was 3 5/8 feet long. How long was the remaining piece?
20 - 6.5 - 29/8 = ?
rectangular rug is 12.5 feet long and 10 feet wide. The rug needs to be reduced by a factor of es026-1.jpg to be placed near a door. What is the area of the reduced rug in square feet?
To find the length of the remaining piece, we need to subtract the combined lengths of the two pieces that were already cut from the total length of the lumber.
First, let's add the lengths of the two pieces that were cut:
Length of the first piece = 6 1/2 feet
Length of the second piece = 3 5/8 feet
To add these two lengths, we need to convert the mixed fractions to improper fractions:
6 1/2 = 13/2
3 5/8 = 29/8
Adding the two lengths:
13/2 + 29/8
To add fractions, we need to find a common denominator. In this case, the least common multiple (LCM) of 2 and 8 is 8. Therefore, we need to convert the fractions:
13/2 = (13/2) * (4/4) = 52/8
29/8 = 29/8
Adding the converted fractions:
52/8 + 29/8 = 81/8
Now that we have the combined lengths of the two pieces: 81/8 feet.
Next, we subtract the combined lengths from the total length of the lumber:
Total length of the lumber = 20 feet
Combined lengths of the two cut pieces = 81/8 feet
To subtract fractions, we need to have a common denominator. In this case, 8 is already the common denominator.
20 - (81/8)
To subtract fractions, we subtract the numerators and keep the denominator the same:
20 - (81/8) = (160/8) - (81/8) = 79/8
Therefore, the remaining piece of the lumber is 79/8 feet long.