a) (3/4 + 1/6) : 3 + (5/6 - 1/2) : 9First, let's simplify the fractions:
3/4 + 1/6 = 9/12 + 2/12 = 11/12
5/6 - 1/2 = 10/12 - 6/12 = 4/12
Now we can plug these values into the equation:
(11/12) : 3 + (4/12) : 9= 11/36 + 4/108= 11/36 + 1/27= (113)/(363) + 1/27= 33/108 + 1/27= 33/108 + 4/108= 37/108
b) (3/4 - 5/12) * 3 - 1/16 : 1/8Let's simplify the fractions first:
3/4 - 5/12 = 9/12 - 5/12 = 4/12 = 1/3
(1/3) 3 - 1/16 : 1/8= 1 - 1/16 : 1/8= 1 - (1/16 8)= 1 - 1/2= 1/2
a) (3/4 + 1/6) : 3 + (5/6 - 1/2) : 9
First, let's simplify the fractions:
3/4 + 1/6 = 9/12 + 2/12 = 11/12
5/6 - 1/2 = 10/12 - 6/12 = 4/12
Now we can plug these values into the equation:
(11/12) : 3 + (4/12) : 9
= 11/36 + 4/108
= 11/36 + 1/27
= (113)/(363) + 1/27
= 33/108 + 1/27
= 33/108 + 4/108
= 37/108
b) (3/4 - 5/12) * 3 - 1/16 : 1/8
Let's simplify the fractions first:
3/4 - 5/12 = 9/12 - 5/12 = 4/12 = 1/3
Now we can plug these values into the equation:
(1/3) 3 - 1/16 : 1/8
= 1 - 1/16 : 1/8
= 1 - (1/16 8)
= 1 - 1/2
= 1/2