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Exercise

$\frac{\sin\frac{2}{x}}{\frac{1}{x}}$

Step-by-step Solution

1

Divide fractions $\frac{\sin\left(\frac{2}{x}\right)}{\frac{1}{x}}$ with Keep, Change, Flip: $a\div \frac{b}{c}=\frac{a}{1}\div\frac{b}{c}=\frac{a}{1}\times\frac{c}{b}=\frac{a\cdot c}{b}$

$x\sin\left(\frac{2}{x}\right)$

Final answer to the exercise

$x\sin\left(\frac{2}{x}\right)$

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Main Topic: Simplification of algebraic fractions

Simplification or reduction of algebraic fractions is the action of dividing the numerator and denominator of a fraction by a common factor in order to obtain another much simpler equivalent fraction. We can say that a fraction is reduced to its simplest when there is no common factor between the numerator and the denominator.

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