Question

Which of the following lists the numbers in order from least to greatest?

A) 2/4, 2/6, 2/8
B) 2/6, 2/4, 2/8
C) 2/8, 2/6, 2/4
D) 2/8, 2/4, 2/6

Answer 1

The numbers 2/4, 2/6, and 2/8 are listed from least to greatest based on the size of their denominators. The correct order is 2/8, 2/6, 2/4, which corresponds to option C.

Step-by-step explanation:

To list the numbers 2/4, 2/6, 2/8 in order from least to greatest, we must compare their sizes. Each of these numbers is a fraction where the numerator is 2, and the denominators are 4, 6, and 8, respectively. In fractions with the same numerator, the fraction with the largest denominator is the smallest number because the larger the denominator, the more pieces the whole is divided into, and therefore, each piece is smaller.

1. 2/8 is least because 8 is the largest denominator, meaning 2 parts of 8 pieces.
2. 2/6 is next because 6 is larger than 4 but smaller than 8, meaning 2 parts of 6 pieces.
3. 2/4 is the largest because 4 is the smallest denominator, meaning 2 parts of 4 pieces.

Therefore, the correct answer is option C) 2/8, 2/6, 2/4.