Order these fractions from least to greatest.

1/4, - 3/7, 1/2

-3/7, 1/4, 1/2

Step-by-step explanation:

Let's do this one step at a time: first, we know negative numbers are always smaller than positive numbers. So - 3/7 must be the least.

Next, we are between 1/4 and 1/2. If we get a least common denominator for them, multiplying 1/2 by 2, we get 1/4 and 2/4. 2/4 > 1/4. A rule of thumb here is

If the denominators are the same, whichever number has a higher numerator is larger.

If the numerators are the same, whichever number has a lower denominator is larger.