Answer:
2.
Step-by-step explanation:
We are asked to simplify the given complex fraction [tex]\frac{\frac{2}{3}}{\frac{1}{3}}[/tex].
We know that dividing a fraction by another fraction is same as multiplying the 1st fraction by the reciprocal of 2nd fraction.
Let us change our given division problem as multiplication of two fractions by flipping the 2nd fraction multiplied by 1st fraction as shown below:
[tex]\frac{\frac{2}{3}}{\frac{1}{3}}=\frac{2}{3}\times \frac{3}{1}[/tex]
[tex]\frac{\frac{2}{3}}{\frac{1}{3}}=\frac{2*3}{3*1}[/tex]
[tex]\frac{\frac{2}{3}}{\frac{1}{3}}=\frac{2}{1}[/tex]
[tex]\frac{\frac{2}{3}}{\frac{1}{3}}=2[/tex]
Therefore, the simplified form of our given expression equals 2.
