Question

Put the following tions in order of size, smallest to largest: 1/13, 1/2, 1/12.

a) 1/13, 1/12, 1/2
b) 1/12, 1/13, 1/2
c) 1/2, 1/13, 1/12
d) 1/2, 1/12, 1/13

Answer 1

The correct order from smallest to largest is 1/13, 1/12, and 1/2, since the larger the denominator the smaller the fraction. Therefore, the answer is 1/13, followed by 1/12, and finally 1/2 as the largest.

Step-by-step explanation:

To put the fractions 1/13, 1/2, and 1/12 in order of size from smallest to largest, we must compare each fraction to determine which is greater or lesser. We know that when fractions have different denominators, we look at the denominators to compare their sizes - the larger the denominator, the smaller the fraction as long as the numerator is the same. Therefore, among 1/13 and 1/12, the one with the larger denominator (1/13) is the smaller fraction. It is clear that 1/2, with a denominator of 2, is much larger than the other two fractions with denominators in the double digits.

With this comparison, the correct order from smallest to largest is 1/13, 1/12, and 1/2. Hence, the answer is option (a) 1/13, 1/12, 1/2.