To solve this equation, we need to first convert the mixed numbers to improper fractions.
2 1/3 = 7/31 1/6 = 7/61 5/9 = 14/9
Now the equation becomes:
(7/3)x - (7/6) = 14/9
To get rid of the fractions, we can multiply every term by the least common denominator (which is 18):
18 (7/3)x - 18 (7/6) = 18 * (14/9)
18 (7/3)x simplifies to 42x18 (7/6) simplifies to 2118 * (14/9) simplifies to 28
So the equation now becomes:
42x - 21 = 28
Adding 21 to both sides:
42x = 49
Dividing by 42:
x = 49/42 or x = 7/6
Therefore, the solution to the equation 2 1/3:x-1 1/6 = 1 5/9 is x = 7/6.
To solve this equation, we need to first convert the mixed numbers to improper fractions.
2 1/3 = 7/3
1 1/6 = 7/6
1 5/9 = 14/9
Now the equation becomes:
(7/3)x - (7/6) = 14/9
To get rid of the fractions, we can multiply every term by the least common denominator (which is 18):
18 (7/3)x - 18 (7/6) = 18 * (14/9)
18 (7/3)x simplifies to 42x
18 (7/6) simplifies to 21
18 * (14/9) simplifies to 28
So the equation now becomes:
42x - 21 = 28
Adding 21 to both sides:
42x = 49
Dividing by 42:
x = 49/42 or x = 7/6
Therefore, the solution to the equation 2 1/3:x-1 1/6 = 1 5/9 is x = 7/6.