Let's first write out 10 ÷ 2/3:
[tex]\frac{10}{\frac{2}{3} }[/tex]
When we divide by a fraction, we flip the fraction 2/3 into 3/2 so that we can multiply it by 10, so:
[tex]\frac{10}{\frac{2}{3} } =10*\frac{3}{2} =5 * 3=15[/tex]
Thus the answer is 15
Hope that helps!