Mathematics
Grade-7
Easy

Question

From a rope 11m long, two pieces of lengths 13 over 5 m and 33 over 10 m are cut off. Length of the remaining rope is ________.

  1. 31 over 10
  2. 50 over 4
  3. 51 over 10
  4. 61 over 10

Hint:

To find the length of the remaining rope we will add the length of two pieces that are cut down from the rope and then substract  it from the total length.

The correct answer is: 51 over 10


    STEP BY STEP SOLUTION
    Total length of rope = 11m
    Length of 1st piece =13 over 5 space m
    Length of 2nd piece = fraction numerator 33 over denominator 10 space end fraction m
    To find the length of remaining rope we will add the length of 1st and 2nd piece and substract it from
    the total length of the rope.
    11 space minus space open parentheses 13 over 5 space plus space 33 over 10 close parentheses
T a k i n g space L C M space o f space 5 space & thin space 10
equals space 11 space minus space open parentheses fraction numerator 26 space plus space 33 over denominator 10 end fraction close parentheses space
equals space 11 over 1 space minus space 59 over 10 space
T a k i n g space L C M space o f space 1 space & 10
equals space fraction numerator 110 space minus space 59 over denominator 10 end fraction space equals space fraction numerator 51 over denominator space 10 end fraction
    The remaining length of the rope is 51 over 10 space m

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