Which is the largest of these fractions 1/2, 1/3, 5/12, 3/4, 2/3
To determine which fraction is the largest, we compare the numerators and denominators of each fraction.
1/2: Numerator = 1, Denominator = 2
1/3: Numerator = 1, Denominator = 3
5/12: Numerator = 5, Denominator = 12
3/4: Numerator = 3, Denominator = 4
2/3: Numerator = 2, Denominator = 3
To make the fractions easier to compare, we find the least common denominator (LCD), which is 12 in this case. Then, we convert each fraction to have the same denominator:
1/2 = 6/12
1/3 = 4/12
5/12 = 5/12 (already in the desired form)
3/4 = 9/12
2/3 = 8/12
Now, we can see that the largest fraction among these is 9/12. Therefore, \boxed{3/4} is the largest fraction.
To determine the largest fraction among 1/2, 1/3, 5/12, 3/4, and 2/3, first, we can convert all of these fractions to have the same denominator. The common denominator of these fractions is 12.
1/2 is equivalent to 6/12 (multiplied numerator and denominator by 6).
1/3 is equivalent to 4/12 (multiplied numerator and denominator by 4).
5/12 remains as it is.
3/4 is equivalent to 9/12 (multiplied numerator and denominator by 3).
2/3 is equivalent to 8/12 (multiplied numerator and denominator by 4).
Now, we have the fractions:
6/12, 4/12, 5/12, 9/12, and 8/12.
Comparing these fractions, we can see that 9/12 is the largest fraction among them.