Find the smallest among these fractions.
​$$\frac{1}{2}, \frac{3}{5}, \frac{2}{7}, \frac{5}{6} \\$$​​

Correct option is C

Concept Used:

To determine the greatest or smallest fraction, we can either equalize the denominators or convert the fractions into percentages.

Solution:

$$\frac{1}{2}, \frac{3}{5}, \frac{2}{7}, \frac{5}{6} \\\text{Then LCM of (2, 5, 7, 6)} = 210 \\\left(\frac{1}{2}, \frac{3}{5}, \frac{2}{7}, \frac{5}{6}\right) \times 210 \\= (105, 126, 60, 175)$$​
According to above smallest fraction = 2/7

Alternate Method:

$$\frac{1}{2} = 50\% \\\ \\\frac{3}{5} = 60\% \\\ \\\frac{2}{7} \approx 28.57\% \\\ \\\frac{5}{6} \approx 83.33\%$$​

2/7 is the smallest fraction.