Simplifying Algebraic Fractions
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If $x > 0$, which of the following is equivalent to $\frac{1}{x} + \frac{1}{2x}$ ?
A) $\frac{1}{x}$
B) $\frac{1}{2x}$
C) $\frac{3}{2x}$
D) $\frac{2}{3x}$
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Step by Step Written Solution
In this problem, we are asked to find an expression equivalent to one over x plus one over two x, given that x is greater than zero.
Equivalent Expressions
Let's write down the expression we need to simplify.
To add these two fractions, we need a common denominator. Looking at the denominators x and two x, we can see that the least common denominator is two x.
Least Common Denominator (LCD): $2x$
To make the first denominator equal to two x, we need to multiply the numerator and the denominator by two.
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