Brainliest Please
Answer:
397/15 feet (or approximately 26.47 feet)
Step-by-step explanation:
To find the total amount of twine originally on the spool, we need to add the amount given away (13 2/3 feet) to the amount remaining (38 2/5 feet).
Here's how to solve it:
Convert mixed numbers to fractions:
13 2/3 feet can be written as 13 + (2/3) feet = (39/3) + (2/3) feet = 41/3 feet
38 2/5 feet can be written as 38 + (2/5) feet = (190/5) + (2/5) feet = 192/5 feet
Add the two amounts:
Total twine = (41/3 feet) + (192/5 feet)
Find a common denominator for the fractions:
The smallest common denominator is the least common multiple of 3 and 5, which is 15.
Convert (41/3 feet) to (41 * 5) / (3 * 5) = 205/15 feet
The term (192/5 feet) already has a denominator of 15.
Add the fractions with the common denominator:
Total twine = (205/15 feet) + (192/15 feet) = 397/15 feet
Simplify (optional):
The total twine is 397/15 feet. You can leave it as a fraction or convert it to a decimal (approximately 26.47 feet) depending on the desired level of precision.
Therefore, there were originally 397/15 feet (or approximately 26.47 feet) of twine on the spool.