Question

Сократите дробь: 27a^2b-24a/ 6ab

Answer 1

27a^2b/6a*b-24a/6a*b = 4.5a/b-24a/6a*b = 4.5a/b-4/b = 4.5a/b-4b^(-1) = 4.5a/b-4b^(-1)
вроде так

Answer 2

To simplify the fraction (27a^2b - 24a) / (6ab), you can factor out the greatest common factor (GCF) from the numerator and the denominator.

Step 1: Factor out the GCF from the numerator and denominator: GCF of the terms in the numerator = 3a, because both terms have 3a as a common factor. GCF of the terms in the denominator = 6ab, because both terms have 6ab as a common factor.

Step 2: Divide both the numerator and the denominator by the GCF: (27a^2b - 24a) / (6ab) = (3a(9ab - 8)) / (6ab)

Step 3: Reduce the fraction further: Now, you can simplify the expression by canceling out common factors from the numerator and the denominator. In this case, you can cancel out the factor 3 from the numerator and the factor 6 from the denominator:

(3a(9ab - 8)) / (6ab) = (9ab - 8) / 2b

So, the simplified form of the fraction is (9ab - 8) / 2b.