You have to divide 10 by \(\frac{2}{3}\)
\(\frac{10}{1}\) ÷ \(\frac{2}{3}\) ⇒ \(\frac{10}{1}\) x \(\frac{3}{2}\)
You use a method called "flip-flop and multiply" where you flip the second fraction to multiply
\(\frac{10}{1}\) × \(\frac{3}{2}\) ⇒ \(\frac{30}{2}\)
Now divide the numerator (top) by the denominator (bottom)
\(30\) ÷ \(3=15\)
Now lets check:
\(\frac{2}{3} * \frac{15}{1} = \frac{30}{3}\)
\(30\) ÷ \(3=10\)
Answer: \(\frac{2}{3}\) × \(15=10\)
