To solve the expression \( 7,2:2,4=0,9:@ \), we need to first interpret it properly using division and ratios.
In many countries, the comma is used as a decimal separator, so we can interpret the numbers as follows:
- \( 7,2 \) is \( 7.2 \)
- \( 2,4 \) is \( 2.4 \)
- \( 0,9 \) is \( 0.9 \)
Now, let's parse the equation:
- \( 7.2 : 2.4 \) is equivalent to \( \frac{7.2}{2.4} \).
- Dividing \( 7.2 \) by \( 2.4 \) gives: \[ \frac{7.2}{2.4} = 3 \]
Now the equation becomes: \[ 3 = 0.9 : @ \]
Next, we can interpret \( 0.9 : @ \) as \( \frac{0.9}{@} \). Setting this equal to 3 results in: \[ \frac{0.9}{@} = 3 \]
Now we can solve for \( @ \): \[ 0.9 = 3 \cdot @ \] \[ @ = \frac{0.9}{3} = 0.3 \]
Thus, the value of \( @ \) is \( 0.3 \).