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In solving missing values in equations involving fractions, we must first determine the given values and the variables. Thus:
¾ + x = 5/2, where x is the value that we are looking for.
In solving this, we should transpose constants in the right side of the equation and the variables in the left side or:
X = 5/2 – ¾
Now, we solve by making the fractions similar.
5/2 and ¾ are dissimilar meaning they have different denominators and we should have same denominators.
5/2 = 10/4
X = 10/4 – ¾
X = 7/4
To check, we substitute the value of x to the original equation:
¾ + 7/4 = 10/4
Or, in lowest terms, 5/2