To solve this problem, we first need to convert the mixed numbers to improper fractions.
4 1/6 = (6*4 + 1)/6 = 25/6
2 7/8 = (8*2 + 7)/8 = 23/8
Now, the expression becomes:
(25/6 - 23/8) * 2.4 : (6/1 + 5/1)
Next, we need to subtract the fractions and divide:
(25/6 - 23/8) = (100/24 - 69/24) = 31/24
Now the expression becomes:
(31/24) * 2.4 : (6/1 + 5/1)
Multiplying 31/24 by 2.4 gives us:
(31/24) * 2.4 = 74.4/24 = 3.1
So now the expression becomes:
3.1 : (6/1 + 5/1)
Adding 6/1 and 5/1 gives us:
6/1 + 5/1 = 11/1 = 11
Finally, dividing 3.1 by 11 gives us the result:
3.1 / 11 = 0.2818181818 or approximately 0.282
Therefore, the final answer is approximately 0.282.
To solve this problem, we first need to convert the mixed numbers to improper fractions.
4 1/6 = (6*4 + 1)/6 = 25/6
2 7/8 = (8*2 + 7)/8 = 23/8
Now, the expression becomes:
(25/6 - 23/8) * 2.4 : (6/1 + 5/1)
Next, we need to subtract the fractions and divide:
(25/6 - 23/8) = (100/24 - 69/24) = 31/24
Now the expression becomes:
(31/24) * 2.4 : (6/1 + 5/1)
Multiplying 31/24 by 2.4 gives us:
(31/24) * 2.4 = 74.4/24 = 3.1
So now the expression becomes:
3.1 : (6/1 + 5/1)
Adding 6/1 and 5/1 gives us:
6/1 + 5/1 = 11/1 = 11
Finally, dividing 3.1 by 11 gives us the result:
3.1 / 11 = 0.2818181818 or approximately 0.282
Therefore, the final answer is approximately 0.282.