2,4÷x=6÷4,5

To solve the equation 2,4÷x=6÷4,5, we can start by simplifying the expressions on both sides:

2,4 ÷ x = 6 ÷ 4,5

To divide by a decimal number, we can multiply both sides of the equation by its reciprocal. The reciprocal of 4,5 is 1/4,5 or 2/9:

(2,4 ÷ x) * (2/9) = (6 ÷ 4,5) * (2/9)

To simplify further, we can cancel out common factors:

(2,4 * 2) ÷ (x * 9) = (6 * 2) ÷ (4,5 * 9)

4,8 ÷ (9x) = 12 ÷ 40,5

Next, we can simplify the right side of the equation:

4,8 ÷ (9x) = 12 ÷ (40,5/1)

To divide by a fraction, we can multiply by its reciprocal:

4,8 ÷ (9x) = 12 * (1/40,5)

4,8 ÷ (9x) = 12/40,5

To simplify the right side, we divide both the numerator and denominator by 12:

4,8 ÷ (9x) = 1/3,375

Now, we can cross multiply to eliminate the fractions:

4,8 * 3,375 = 9x * 1

16,2 = 9x

To solve for x, we divide both sides of the equation by 9:

16,2 ÷ 9 = x

x ≈ 1,8

Therefore, the solution to the equation is x ≈ 1,8.