Answer:
To find the new length of the string, we need to add the length of the new piece of string to the existing length.
The current string length is 7 and 3/4 feet. This can be written as a mixed number, 7 + 3/4 = 7 3/4.
The new piece of string measures 8.5 feet.
To add these two lengths, we can convert the mixed number to an improper fraction and then add the fractions together.
7 3/4 can be converted to an improper fraction as (7 * 4 + 3) / 4 = 31/4.
Now we can add the fractions:
31/4 + 8.5 = (31/4) + (8.5 * 4/4) = 31/4 + 34/4 = 65/4
To simplify the fraction, we can divide the numerator (65) by the denominator (4) to get the whole number part and the remainder.
65 ÷ 4 = 16 remainder 1
So the new length of the string is 16 1/4 feet.
Therefore, the new length of the string is 16 and 1/4 feet.
Step-by-step explanation: