Question

Сократите дроби 36x^8y^6/51x^6y^8

Answer 1

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Answer 2

To simplify the fraction $\frac{36x^8y^6}{51x^6y^8}$, we can perform the following steps:

Step 1: Cancel out common factors from the numerator and denominator. Step 2: Reduce the coefficients (numbers) in the fraction to their simplest form if possible. Step 3: Write the simplified expression.

Let's start:

Step 1: Cancel out common factors. The common factors in the numerator and denominator are $x^6$ and $y^6$.

Step 2: Reduce the coefficients. To find the greatest common divisor (GCD) of 36 and 51, we get:

$GCD(36, 51) = 3$.

Now, divide both the numerator and denominator by 3:

$\frac{36}{3} = 12$ and $\frac{51}{3} = 17$.

Step 3: Write the simplified expression. After canceling out the common factors and reducing the coefficients, the simplified fraction is:

$\frac{12x^2}{17y^2}$.

So, the simplified form of the expression is $\frac{12x^2}{17y^2}$.