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Sagot :
The expression that is equivalent to complex fraction [tex]\frac{1 - \frac{1}{x}}{2}[/tex] is [tex]{\frac{x - 1}{2x}}[/tex]
To answer the question, we need to know what fractions are
What are fractions?
Fractions are rational numbers written in the form a/b where
- a and b are integers
- and b > 0.
where
- a is called the numerator and
- b the denominator.
Expression similar to complex fraction
To find the expression similar to the complex fraction [tex]\frac{1 - \frac{1}{x}}{2}[/tex], we simplify the fraction.
So, [tex]\frac{1 - \frac{1}{x}}{2}[/tex]
Taking L.C.M of x in the numerator, we have
[tex]\frac{1 - \frac{1}{x}}{2} = \frac{\frac{x - 1}{x}}{2} \\[/tex]
Simplifying, we have
[tex]\frac{1 - \frac{1}{x}}{2} = \frac{\frac{x - 1}{x}}{2} \\= {\frac{x - 1}{2x}}[/tex]
So, the expression that is equivalent to the complex fraction [tex]\frac{1 - \frac{1}{x}}{2}[/tex] is [tex]{\frac{x - 1}{2x}}[/tex]
Learn more about fractions here:
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