Answer
$ \frac{2}{7}\lt \frac{3}{10}$
Work Step by Step
The least common multiplier of the denominators is 70, since $7\times 10= 70$.
Adjust the fractions based on the least common multiplier. For the first fraction, multiply the numerator and denominator by 10.
$ \frac{2}{7}\times\frac{10}{10}= \frac{20}{70}$
For the second fraction, multiply the numerator and denominator by 7.
$ \frac{3}{10} \times \frac{7}{7}= \frac{21}{70}$
$\frac{20}{70} \lt \frac{21}{70}$
So,
$ \frac{2}{7}\lt \frac{3}{10}$