a piece of rope 10 m is long is cut into three pieces. If the length of two pieces is 4 1/2 m and 3 1/5 m respectively, then find the length of the third piece.
Length of a rope = 10m
Length of 1st piece = 4 1/2m
Length of 2nd rope = 3 1/5m
LCM of denominators = 2*5 = 10
4 1/2m = 4 5/10m
3 1/5 m = 3 2/10
Sum of both pieces = 7 7/10m = 7.70m
Thus, length of third piece = 10.00 m - 7.70m = 2.30m
Therefore, length is 2.30m = 2 3/10m
Length of 1st piece = 4 1/2m
Length of 2nd rope = 3 1/5m
LCM of denominators = 2*5 = 10
4 1/2m = 4 5/10m
3 1/5 m = 3 2/10
Sum of both pieces = 7 7/10m = 7.70m
Thus, length of third piece = 10.00 m - 7.70m = 2.30m
Therefore, length is 2.30m = 2 3/10m