To solve this equation, we need to first find a common denominator for all the fractions.
3 1/8 is the same as 25/81 5/6 is the same as 11/617/18 is already in the form of a fraction4 7/24 is the same as 103/24.
Now, the equation becomes:
25/8 - 103/24 = 17/18 + 11/6
To add the fractions on the right side, we need to find a common denominator. The common denominator is 24:
25/8 - 103/24 = (17/18 24/24) + (11/6 4/425/8 - 103/24 = 408/432 + 44/225/8 - 103/24 = 408/432 + 198/4325/8 - 103/24 = 606/432
Next, we can add the fractions on the right side of the equation:
25/8 - 103/24 = 606/4325/8 - 103/24 = 303/216
Now, we have:
303/216 = 25/8 - 103/24
To solve for x, we find a common denominator for 25/8 and 103/24, which is 24:
25/8 = 75/2103/24 = 103/24
75/24 - 103/24 = 303/216
To subtract the fractions on the left side, we get:
-28/24 = 303/216
We can simplify the fraction on the left side:
-28/24 = -7/6
Therefore, the solution to the equation is:
x = -7/6.
To solve this equation, we need to first find a common denominator for all the fractions.
3 1/8 is the same as 25/8
1 5/6 is the same as 11/6
17/18 is already in the form of a fraction
4 7/24 is the same as 103/24.
Now, the equation becomes:
25/8 - 103/24 = 17/18 + 11/6
To add the fractions on the right side, we need to find a common denominator. The common denominator is 24:
25/8 - 103/24 = (17/18 24/24) + (11/6 4/4
25/8 - 103/24 = 408/432 + 44/2
25/8 - 103/24 = 408/432 + 198/43
25/8 - 103/24 = 606/432
Next, we can add the fractions on the right side of the equation:
25/8 - 103/24 = 606/43
25/8 - 103/24 = 303/216
Now, we have:
303/216 = 25/8 - 103/24
To solve for x, we find a common denominator for 25/8 and 103/24, which is 24:
25/8 = 75/2
103/24 = 103/24
Now, the equation becomes:
75/24 - 103/24 = 303/216
To subtract the fractions on the left side, we get:
-28/24 = 303/216
We can simplify the fraction on the left side:
-28/24 = -7/6
Therefore, the solution to the equation is:
x = -7/6.