Explanation:
8 ÷ 2 4/9
so, as always with operations involving fractions I recommend to convert mixed numbers to full fractions first :
2 4/9 = (2×9 + 4)/9 = (18 + 4)/9 = 22/9
the division looks then like this :
8 ÷ 22/9
or
8 / 22/9 = 8/1 / 22/9
remember, when we divide by a fraction, then this is the same as a multiplication with the upside-down fraction :
8/1 × 9/22 = 8×9 / 1×22 = 72/22 = 36/11 =
= (3×11 + 3)/11 = 3 3/11
8 ÷ 2 4/9 = 3 3/11
the symbols ÷, /, : have a little bit different semantic meaning in their context, but they all do the same thing : divide.
and they are therefore interchangeable.