Question

Ed needed to extend the string on his kite. The current string was eight and three fourths feet. He cut a piece of string that measured 4.5 feet and added it to the existing string. What is the new length of the string?
four and one fourth feet
four and one half feet
twelve and three fourths feet
thirteen and one fourth feet

Answer 1

The new length of the string is  (13 + 1/4) feet, then the correct option is the last one (counting from the top)

What is the new length of the string?

We know that the current string was (8 + 3/4) feet in length. Then they add another piece that measures 4.5 feet.

The new length of the string is given by the addition of the above two lengths, we will get:

L = (8 + 3/4) feet + 4.5 feet

We can rewrite the second length as a mixed number:

4.5 = 4 + 1/2 = 4 + 2/4

Replacing that we get:

L = (8 + 3/4) ft + 4.5 ft

  =  (8 + 3/4) ft + (4 + 2/4) ft

  = (8 + 4) ft + (3/4 + 2/4) ft

  = 12ft + 5/4ft = 12ft + (4/4 + 1/4)ft = (13 + 1/4)ft

The new length of the string is  (13 + 1/4) feet, then the correct option is the last one (counting from the top).

If you want to learn more about mixed numbers:

brainly.com/question/1746829

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