To simplify the equation, we first need to combine like terms:
(х - 7/8) + 3 11/24 = 5 1/12
х - 7/8 + 3 11/24 = 5 1/12
Next, we need to convert the mixed numbers to improper fractions:
3 11/24 = (3*24 + 11)/24 = 83/24
5 1/12 = (5*12 + 1)/12 = 61/12
Now, the equation becomes:
х - 7/8 + 83/24 = 61/12
Next, find a common denominator to add the fractions:
х 3/3 - 7/8 3/3 + 83/24 = 61/12 * 2/2
3x - 21/24 + 83/24 = 122/24
Combine the fractions:
3x + 62/24 = 122/24
Subtract 62/24 from both sides:
3x = 60/24
Divide by 3:
x = 20/8
x = 5/2
Therefore, the solution to the equation is x = 5/2.
To simplify the equation, we first need to combine like terms:
(х - 7/8) + 3 11/24 = 5 1/12
х - 7/8 + 3 11/24 = 5 1/12
Next, we need to convert the mixed numbers to improper fractions:
3 11/24 = (3*24 + 11)/24 = 83/24
5 1/12 = (5*12 + 1)/12 = 61/12
Now, the equation becomes:
х - 7/8 + 83/24 = 61/12
Next, find a common denominator to add the fractions:
х 3/3 - 7/8 3/3 + 83/24 = 61/12 * 2/2
3x - 21/24 + 83/24 = 122/24
Combine the fractions:
3x + 62/24 = 122/24
Subtract 62/24 from both sides:
3x = 60/24
Divide by 3:
x = 20/8
x = 5/2
Therefore, the solution to the equation is x = 5/2.