2,4÷x=6÷4,5

To solve the equation 2,4 ÷ x = 6 ÷ 4,5, we can follow these steps:

Step 1: Convert the decimal numbers to fractions. 2,4 = 24/10 4,5 = 9/2

Step 2: Rewrite the equation with the fractions. (24/10) ÷ x = (6 ÷ 9/2)

Step 3: Invert the divisor fraction and multiply. (24/10) ÷ x = (6 * 2/9)

Step 4: Simplify the fractions. (24/10) ÷ x = (12/9)

Step 5: Multiply both sides of the equation by x to isolate it on one side. [(24/10) ÷ x] * x = [(12/9) * x]

Step 6: Simplify the equation. 24/10 = 12x/9

Step 7: Cross multiply. (24/10) * 9 = 12x

Step 8: Simplify. 216/10 = 12x

Step 9: Divide both sides by 12 to solve for x. (216/10) ÷ 12 = x

Step 10: Simplify. 18/10 = x

Step 11: Simplify the fraction. 9/5 = x

So, the solution to the equation is x = 9/5.