A number line going from negative 2 to positive 1.

Question

What is the correct order of the fractions from least to greatest?

Point A: −11
3

Point B: −2
3

Point C: 1
3

Point D: −12
3

The correct order for the fractions is
.

Answer 1

To compare the fractions, we can convert them to decimal form or find a common denominator. Here are the fractions evaluated in decimal form:

1. Point A: \(-\frac{11}{3} \approx -3.67\)
2. Point B: \(-\frac{2}{3} \approx -0.67\)
3. Point C: \(\frac{1}{3} \approx 0.33\)
4. Point D: \(-\frac{12}{3} = -4\)

Now, we can list these values:

• Point D: \(-4\)
• Point A: \(-3.67\)
• Point B: \(-0.67\)
• Point C: \(0.33\)

Putting them in order from least to greatest, we have:

1. Point D: \(-\frac{12}{3}\)
2. Point A: \(-\frac{11}{3}\)
3. Point B: \(-\frac{2}{3}\)
4. Point C: \(\frac{1}{3}\)

So, the correct order for the fractions from least to greatest is:

Point D, Point A, Point B, Point C.