Question

Сократи дробь помогите a)16x (x-y)/24x (x-y) b)x^2+x/x^2

Answer 1

A)2x/3x
b)x
Странная конечно задача

Answer 2

Sure, let's simplify the given fractions.

a) Simplify the fraction (16x * (x - y)) / (24x * (x - y)):

Step 1: Cancel out common factors from the numerator and denominator. Both the numerator and the denominator have the common factor (x - y). We can cancel it out.

(16x * (x - y)) / (24x * (x - y)) = (16x * 1) / (24x * 1)

Step 2: Further simplify the fraction. Now, we can cancel out the common factor "x" as well.

(16x * 1) / (24x * 1) = (16 * 1) / (24 * 1)

Step 3: Perform the arithmetic.

(16 * 1) / (24 * 1) = 16 / 24

Step 4: Reduce the fraction to its simplest form, if possible. Both 16 and 24 are divisible by 8.

16 / 24 = (16 ÷ 8) / (24 ÷ 8) = 2 / 3

So, the simplified form of the fraction is 2/3.

b) Simplify the fraction (x^2 + x) / x^2:

Step 1: Factor out the common term "x" from the numerator.

(x^2 + x) / x^2 = x * (x + 1) / x^2

Step 2: Cancel out the common factor "x" from the numerator and denominator.

x * (x + 1) / x^2 = (x + 1) / x

So, the simplified form of the fraction is (x + 1) / x.