Answer:To arrange the fractions 2/3, 1/2, and 1/4 from least to greatest, we can compare their values by finding a common denominator and then ordering them accordingly.
Let's start by finding a common denominator for these fractions. The least common denominator (LCD) for 2/3, 1/2, and 1/4 is 12.
To convert 2/3 to an equivalent fraction with a denominator of 12, we multiply both the numerator and denominator by 4:
2/3 * 4/4 = 8/12
For 1/2, we multiply both the numerator and denominator by 6 to get:
1/2 * 6/6 = 6/12
And for 1/4, we multiply both the numerator and denominator by 3:
1/4 * 3/3 = 3/12
Now, we have the equivalent fractions:
2/3 = 8/12
1/2 = 6/12
1/4 = 3/12
By comparing the numerators, we can see that 3/12 is the smallest, followed by 6/12, and then 8/12 is the largest.
Therefore, the fractions arranged from least to greatest are:
1/4, 1/2, 2/3
Step-by-step explanation:
