A plumber must bend a piece of tubing twice, allowing 5/8 inch for each bend. use the total of 12 1/2, 16 3/4, and 18 3/4. To find the total length of tubing needed?
add 12 16 and 18. then find the LCD of 3/4 and 1/2. the LCD would be 4. hope this helps!
what would you do than with 5/8 ??
To find the total length of tubing needed, we need to add the lengths of the tubing for each bend and the original length of the tubing.
Let's break down the problem step by step:
1. Start with the original length of the tubing.
- Original length: Not mentioned in the question.
2. Add the lengths required for each bend.
- The plumber must allow 5/8 inch for each bend.
- Since there are two bends, the total length for bending would be 2 * 5/8 = 10/8 or 5/4 inches.
3. Add the total length for bending to the original length.
- The total length of tubing required would be the sum of the original length and the length for bending: original length + 5/4 inches.
Now, let's use the given measurements to calculate the original length of the tubing:
Given:
- Total length with bending = 12 1/2 inches (or 12 + 1/2 inches)
- Length for bending = 5/4 inches
To find the original length:
1. Subtract the length for bending from the total length with bending:
(12 + 1/2) inches - 5/4 inches
2. Convert the mixed number (12 1/2) to an improper fraction:
(25/2) inches - 5/4 inches
3. Find a common denominator for the fractions:
(25/2) inches - (10/4) inches
4. Perform the subtraction operation:
= (25/2) inches - (10/4) inches
= (25/2) inches - (5/2) inches
= (25 - 5)/2 inches
= 20/2 inches
= 10 inches
Therefore, the original length of the tubing would be 10 inches.
Finally, to find the total length of tubing needed, we add the original length and the length for bending:
Total length required = original length + length for bending
= 10 inches + 5/4 inches
= (40/4) inches + (5/4) inches
= 45/4 inches
The total length of tubing needed would be 45/4 inches or 11 1/4 inches.