Question

24ab²/18a⁴b² Сократите дробь

Answer 1

$\frac{24a {b}^{2} }{18 {a}^{4} {b}^{2} } = \frac{4}{3 {a}^{3} }$

Answer 2

To simplify the fraction (24ab²) / (18a⁴b²), you can cancel out common factors in the numerator and denominator. Here's the process:

Step 1: Factor the terms in the numerator and denominator. 24ab² = 2 * 2 * 2 * 3 * a * b² 18a⁴b² = 2 * 3 * 3 * a⁴ * b²

Step 2: Cancel out common factors in the numerator and denominator. Since both the numerator and denominator share the factors 2, 3, and b², they can be canceled out:

(24ab²) / (18a⁴b²) = (2 * 2 * 2 * 3 * a * b²) / (2 * 3 * 3 * a⁴ * b²)

After canceling out the common factors:

= (2 * a) / (3 * a⁴)

Step 3: Simplify further if possible. There are no other common factors to cancel out in this case. So the simplified fraction is:

(24ab²) / (18a⁴b²) = (2 * a) / (3 * a⁴)

That's the simplified form of the fraction.