Question

five suitcases weigh 12kg,12 3/4kg, 11 1/3 kg, 13 1/6 kg and 12 1/2 kg .respectively. How much do they weigh totally ?​

Answer 1

Answer:

The total weight is 61 $\frac{3}{4} kg$

Step-by-step explanation:

We have been given here the weight of respective 5 suitcases. To find their total weight we will just need to add all their weights and then find the total as below:

Total weight = 12 kg + 12 $\frac{3}{4}$ kg + 11 $\frac{1}{3}$ kg + 13 $\frac{1}{6}$ kg + 12 $\frac{1}{2}$ kg

= 12 + $\frac{12 (4) + 3}{4}$ + $\frac{11(3) + 1}{3}$ + $\frac{13 (6) + 1}{6}$ + $\frac{12 (2) + 1}{2}$ kg

= 12 + $\frac{51}{4} + \frac{34}{3} +\frac{79}{6} + \frac{25}{2}$ kg

The LCM of 4,3,6 and 2 is 12

We have,

= $\frac{12 (12)}{12} + \frac{51(3)}{12} + \frac{34(4)}{12} + \frac{79(2)}{12} + \frac{25(6)}{12}$ kg

= $\frac{741}{12}$ kg

= $61 \frac{3}{4}$ kg

Hence the total weight is 61 $\frac{3}{4} kg$