To solve this, we first need to convert all the mixed numbers to improper fractions.
18 7/12 = (1218 + 7) / 12 = 223/123 1/5 = (53 + 1) / 5 = 16/57 5/12 = (12*7 + 5) / 12 = 89/12
Now, we can substitute these values back into the equation:
(223/12 + 16/5) - 89/12
To simplify this, we need a common denominator, which is the LCM of 12 and 5, which is 60.
(2235 / 125 + 1612 / 512) - 89 / 12
(1115/60 + 192/60) - 89/12
1307/60 - 89/12
To subtract these fractions, we need a common denominator, which is 60 * 12 = 720
(1307 12 / 60 12) - (89 60 / 12 60)
15714/720 - 5340/720
10274/720 simplifies to 514/36 or 14 2/3
Therefore, (18 7/12 + 3 1/5) - 7 5/12 = 14 2/3
To solve this, we first need to convert all the mixed numbers to improper fractions.
18 7/12 = (1218 + 7) / 12 = 223/12
3 1/5 = (53 + 1) / 5 = 16/5
7 5/12 = (12*7 + 5) / 12 = 89/12
Now, we can substitute these values back into the equation:
(223/12 + 16/5) - 89/12
To simplify this, we need a common denominator, which is the LCM of 12 and 5, which is 60.
(2235 / 125 + 1612 / 512) - 89 / 12
(1115/60 + 192/60) - 89/12
1307/60 - 89/12
To subtract these fractions, we need a common denominator, which is 60 * 12 = 720
(1307 12 / 60 12) - (89 60 / 12 60)
15714/720 - 5340/720
10274/720 simplifies to 514/36 or 14 2/3
Therefore, (18 7/12 + 3 1/5) - 7 5/12 = 14 2/3