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Math Help - Fraction word problem

  1. #1
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    Fraction word problem

    My daughter is in 7th grade and is about to take her 7th grade NC EOG test next week. I found a sample test and printed it out along with the answers. Some of the questions are stumping me (and her). This is one of them.

    A 20-foot piece of rope will be cut into as many 1 1/2 foot sections as possible. How much rope will be left over?

    A) 6 inches
    B) 6 2/3 inches
    C) 10 inches
    D) 13 1/3 inches

    I divide 20 by 1 1/2, and get 13 1/3, so what's left over is 6 2/3. The answer sheet says that the answer is A) 6 inches. How are they getting this?
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  2. #2
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    You can get 13 pieces out of the 20 feet. But there is 1/3 of a 1.5 foot piece. 1/3 of 1.5 is .5 feet or 6 inches.
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  3. #3
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    Quote Originally Posted by galactus View Post
    You can get 13 pieces out of the 20 feet. But there is 1/3 of a 1.5 foot piece. 1/3 of 1.5 is .5 feet or 6 inches.
    Well that's tricky! It makes sense now, but I never would've figured that out. Thanks!!!
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  4. #4
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    Hello, cherryperry!

    A 20-foot rope will be cut into as many 1 1/2 foot sections as possible.
    How much rope will be left over?

    A) 6 inches. . B) 6 2/3 inches. . C) 10 inches. . D) 13 1/3 inches


    I divide 20 by 1 1/2, and get 13 1/3, so what's left over is 6 2/3. . ??
    . . Brrr . . . that's scary!

    So, if you had a 100-foot rope cut into 4-foot pieces, you'd say: . 100 \div 4 \;=\;25

    . . By your reasoning, there would be 75 feet left over ?

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  5. #5
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    Quote Originally Posted by Soroban View Post
    Hello, cherryperry!


    So, if you had a 100-foot rope cut into 4-foot pieces, you'd say: . 100 \div 4 \;=\;25

    . . By your reasoning, there would be 75 feet left over ?

    Yeah, it is scary, which is precisely why I'm here asking experts.
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  6. #6
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    Quote Originally Posted by cherryperry View Post
    My daughter is in 7th grade and is about to take her 7th grade NC EOG test next week. I found a sample test and printed it out along with the answers. Some of the questions are stumping me (and her). This is one of them.

    A 20-foot piece of rope will be cut into as many 1 1/2 foot sections as possible. How much rope will be left over?

    A) 6 inches
    B) 6 2/3 inches
    C) 10 inches
    D) 13 1/3 inches

    I divide 20 by 1 1/2, and get 13 1/3, so what's left over is 6 2/3. The answer sheet says that the answer is A) 6 inches. How are they getting this?
    Hi Cherry,

    you could use a sketch like the one attached to guide.

    The blue arrows are all 1.5 inches long.
    As you add them up, the length goes from 1.5 to 3 to 4.5 to 6 to 7.5 to 9 to 10.5
    to 12 to 13.5 to 15 to 16.5 to 18 to 19.5 leaving 0.5 of a foot remaining.

    Or, you could take 2 parts together and find out how many 3 foot pieces lie along the rope.

    3(6)=18, so there is 2 feet left, in which lies a 1.5 piece and 6 inches.
    Attached Thumbnails Attached Thumbnails Fraction word problem-rope.jpg  
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