Final answer:
The difference between a number and three-fourths is one-half. The equation is x - 3/4 = 1/2. The solution is x = 7/4.
Step-by-step explanation:
Let x be the number.
The difference between a number and three-fourths is one-half.
This can be represented by the equation:
x - \frac{3}{4} = \frac{1}{2}
To solve for x, we can add \frac{3}{4} to both sides of the equation:
x - \frac{3}{4} + \frac{3}{4} = \frac{1}{2} + \frac{3}{4}
Simplifying the equation:
x = \frac{7}{4}
Therefore, the solution is x = \frac{7}{4}.
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