To solve this equation, we first need to convert the mixed fractions to improper fractions.
1/7 = 1/7
2 1/2 = 5/2 (2 * 2 + 1 = 5, denominator remains the same)
So, the equation becomes:
17/28 + x = -1/7 + 5/2
Next, we need to find a common denominator for the fractions on the right side of the equation, which is 14.
-1/7 becomes -2/14
5/2 becomes 35/14
Now the equation looks like this:
17/28 + x = -2/14 + 35/14
To add the fractions on the right side of the equation, we add the numerators and keep the common denominator:
17/28 + x = 33/14
Now, we need to find a common denominator for 28 and 14, which is 28.
Multiplying 33/14 by 2 (both the numerator and denominator) to have the common denominator:
33/14 * 2/2 = 66/28
So, the equation now becomes:
17/28 + x = 66/28
To solve for x, we subtract 17/28 from both sides:
x = 66/28 - 17/28
x = 49/28
Therefore, the solution to the equation is x = 49/28.
To solve this equation, we first need to convert the mixed fractions to improper fractions.
1/7 = 1/7
2 1/2 = 5/2 (2 * 2 + 1 = 5, denominator remains the same)
So, the equation becomes:
17/28 + x = -1/7 + 5/2
Next, we need to find a common denominator for the fractions on the right side of the equation, which is 14.
-1/7 becomes -2/14
5/2 becomes 35/14
Now the equation looks like this:
17/28 + x = -2/14 + 35/14
To add the fractions on the right side of the equation, we add the numerators and keep the common denominator:
17/28 + x = 33/14
Now, we need to find a common denominator for 28 and 14, which is 28.
Multiplying 33/14 by 2 (both the numerator and denominator) to have the common denominator:
33/14 * 2/2 = 66/28
So, the equation now becomes:
17/28 + x = 66/28
To solve for x, we subtract 17/28 from both sides:
x = 66/28 - 17/28
x = 49/28
Therefore, the solution to the equation is x = 49/28.