To answer this problem, you need to divide 6 by 2/3. Remember that whenever you divide a number by another number, you are asking, "How many times does this second number fit into this first number?"
6÷[tex] \frac{2}{3}
[/tex]=?
When you divide a number by a fraction, it's actually like you're multiplying it by the reciprocal. Here's a simpler example:
3÷[tex] \frac{1}{3} [/tex]=9
If you think about it, this makes sense because 3÷9=[tex] \frac{1}{3} [/tex].
So, in this case, 6÷[tex] \frac{2}{3} [/tex]=6×[tex] \frac{3}{2} [/tex].
To solve this, multiply 6 times 3 (=18) and divide by 2 (=9).
6÷[tex] \frac{2}{3} [/tex]=9
