asked 107k views
1 vote
PLEASE HELP ASAP NEEDS TO BE DONE IN 5 MINUTES Ed needed to extend the string on his kite. The current string was 9 3/4 feet. He cut a piece of string that masured 2.5 feet and added it to the existing string. What is the new length of the string?

(A) 12 1/4 feet
(B) 11 3/4 feet
(C) 7 1/2 feet
(D) 7 1/4 feet​

asked
User Witness
by
8.3k points

2 Answers

7 votes

Answer:

To find the new length of the string, we need to add the length of the existing string (9 3/4 feet) to the length of the additional piece of string (2.5 feet).

First, we need to convert the mixed number, 9 3/4 feet, to an improper fraction. The improper fraction equivalent of 9 3/4 is (4 * 9 + 3)/4 = 39/4.

Now, we can add the fractions: 39/4 + 2 1/2 = 39/4 + (2 * 2 + 1)/2 = 39/4 + 5/2.

To add these fractions, we need a common denominator. The least common multiple of 4 and 2 is 4, so we can rewrite 5/2 as 10/4.

Now, we can add the fractions: 39/4 + 10/4 = 49/4.

To convert the improper fraction back to a mixed number, we divide the numerator (49) by the denominator (4). The quotient is the whole number, and the remainder is the numerator of the fraction part.

49 ÷ 4 = 12 with a remainder of 1. So, the new length of the string is 12 1/4 feet.

Therefore, the correct answer is (A) 12 1/4 feet.

Explanation:

answered
User Jonathan H
by
7.6k points
7 votes

Answer: its A, 12 1/4

Step-by-step explanation: 9.75 +2.5 = 12.25 = 12 /14

answered
User Billygoat
by
7.8k points
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