Question

a rope of length 12 m is cut into four pieces. The length of the three pieces are 2 5/6 , 1 1/7m and 3 1/3 m . find the length of the fourth piece.

Answer 1

Answer:

31/6 or 5 1/6( mixed fraction)

Step-by-step explanation:

the total length of 3 ropes would be

2(5/6) + 1(1/7) + 3(1/3) ( mixed fraction )

17/6 + 8/7 + 10/3

(17(7) + 8(6) + 10(12))/42

(119 + 48 + 120) / 42

287/42

41/6 ( divisible by 7 )

so the length of 4th piece would be

= 12 - 41/6

= (72 - 41)/6

= 31 / 6

= 5 1/6 ( mixed fraction )