Question

which is ordered from least to greatest?
-3/7, 1/4, 1/2
1/2, 1/4, -3/7
-3/7, 1/2, 1/4
1/4, -3/7, 1/2

Explanation:

Step1: Identify the types of numbers

We have a negative fraction \(-\frac{3}{7}\), and positive fractions \(\frac{1}{4}\), \(\frac{1}{2}\). Negative numbers are less than positive numbers. So \(-\frac{3}{7}\) should be the smallest.

Step2: Compare the positive fractions

To compare \(\frac{1}{4}\) and \(\frac{1}{2}\), we can find a common denominator. The common denominator of 4 and 2 is 4. \(\frac{1}{2}=\frac{2}{4}\). Since \(\frac{1}{4}<\frac{2}{4}\), we have \(\frac{1}{4}<\frac{1}{2}\).

Step3: Order the numbers

Combining the results, the order from least to greatest should be \(-\frac{3}{7},\frac{1}{4},\frac{1}{2}\).

Answer:

The correct option (assuming the green card has \(-\frac{3}{7},\frac{1}{4},\frac{1}{2}\)) is the green - colored option with numbers \(-\frac{3}{7},\frac{1}{4},\frac{1}{2}\) (the first option in the image).