Verified Answer :

1/3 / 2/7
The first thing you do is switch the 2 and the 7 around and change the sign to a times: 
1/3 X 7/2

1 X 7 = 7
3 X 2 = 6

1/3 X 7/2 = 7/6

7/6 (which is an improper fraction) can we written as 1 1/6 (which is a mixed number). 

The answer is 1 1/6

\(\frac{1}{3}\) ÷ \(\frac{2}{7}\)

First, apply this rule: \(\frac{a}{b}\) ÷ \(\frac{c}{d}\) = \(\frac{ac}{bd}\) / Your problem should look like: \(\frac{1}{3}\) × \(\frac{7}{2}\)
Second, apply this rule: \(\frac{a}{b}\) × \(\frac{c}{d}\) = \(\frac{ac}{bd}\) / Your problem should look like: \(\frac{1x7}{3x2}\)
Third, multiply 1 × 7 to get 7. / Your problem should look like: \(\frac{7}{3x2}\)
Fourth, multiply 3 × 2 to get 6. / Your problem should look like: \(\frac{7}{6}\)

Answer: \(\frac{7}{6}\) OR \(1 \frac{1}{6}\)
Answer as decimal: 1.1667