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please help me simplify these!!

2x/5x

x^2/x

15x^2/6x

20x^2/5x^6

2x/5x = 2/5

x^2/x = x^(2-1) = x
20x^2/5x^6 = 20/4 x^(2-6) = 5x^-4 = 5/x^4

Did you know?

Did you know that when simplifying fractions with variables, you can cancel out common factors in the numerator and denominator? For example, in the expression 2x/5x, both the numerator and denominator have a common factor of x. By canceling out x, the expression simplifies to 2/5. Similarly, in the expression x^2/x, you can cancel out x, simplifying it to x. In the expression 15x^2/6x, there are no common factors other than 1, so it is already in its simplest form. Lastly, in the expression 20x^2/5x^6, notice how both the numerator and denominator have an x^2 term. By canceling out these common factors of x^2, the expression simplifies to 4/x^4. Simplifying fractions not only helps in reducing complexity, but also provides a clearer understanding of the underlying mathematical relationship.