Question

1 1/2-1/6 1 1/4-1/2 1 1/5 1 1/5-1/4 1 1/6-1/5 1 1/9-1/6 1 1/8-5/6

Answer 1

1 1/12- 1/6=1 1/12 - 2/12=13/12-2/12=11/12

Answer 2

To perform the arithmetic operations with the given fractions, we need to find a common denominator. We can do this by finding the least common multiple (LCM) of the denominators of each fraction.

The denominators of the given fractions are: 6, 2, 4, 5, 4, 5, 6, 9, 8.

The LCM of these denominators is 360. Therefore, we need to convert each fraction to an equivalent fraction with a denominator of 360.

1 1/2 = (3/2)360/6 = 180 1/6 = (1/6)360 = 60 1 1/4 = (5/4)360/4 = 225 1/2 = (1/2)360 = 180 1 1/5 = (6/5)360/5 = 72 1 1/5-1/4 = (6/5)360/5 - (1/4)360/4 = 72 - 90 = -18 1 1/6-1/5 = (6/6)360/6 - (5/6)360/5 = 60 - 72 = -12 1 1/9-1/6 = (6/9)360/9 - (4/6)360/6 = 40 - 120/3 = -40 1 1/8-5/6 = (6/8)360/8 - (5/6)360/6 - (5/6)360/6 = 45 - 60 - 60 = -75

Therefore, the arithmetic expression simplifies to:

180 - 60 + 225 - 180 + 72 - 18 - 12 - 40 - 75 = 72.