what is the result of this calculation
1/2 x 4/3 + 5/6 divided 7/8=
A. 1 27/48
B. 1 13/21
C. 1 33/42
D. 1 19/48
To solve this calculation, we need to follow the order of operations (PEMDAS/BODMAS) and simplify the fractions at each step.
First, multiply 1/2 by 4/3:
(1/2) x (4/3) = (1*4)/(2*3) = 4/6
Next, find the sum of 4/6 and 5/6:
(4/6) + (5/6) = (4+5)/6 = 9/6
Finally, divide 9/6 by 7/8:
(9/6) รท (7/8) = (9/6) x (8/7) = (9*8)/(6*7) = 72/42
The simplified form of 72/42 is 12/7, which is equal to 1 5/7.
So, the correct result of the calculation is:
A. 1 27/48 (Incorrect)
B. 1 13/21 (Incorrect)
C. 1 33/42 (Incorrect)
D. 1 19/48 (Incorrect)
The correct answer is 1 5/7.