To determine which fraction is less than 1/3, we need to compare the fractions to 1/3 and see which one is smaller.
Let's go through each option:
Option A) 22/62 - To compare this fraction to 1/3, we can convert it to a common denominator. The common denominator of 62 and 3 is 186.
By multiplying the numerator and denominator of 22/62 by 3, we get 66/186. Comparing this to 1/3, we can see that 66/186 is larger than 1/3. Therefore, option A is incorrect.
Option B) 15/46 - This fraction is already in simplest form. To compare it to 1/3, we can convert both fractions to a common denominator. The common denominator of 46 and 3 is 138.
By multiplying the numerator and denominator of 15/46 by 3, we get 45/138. Comparing this to 1/3, we can see that 45/138 is less than 1/3. Therefore, option B is correct.
Option C) 2/3 - This fraction is larger than 1/3. Therefore, option C is incorrect.
Option D) 1 - This is not a fraction, it is a whole number. Therefore, option D is incorrect.
The correct answer is option B) 15/46. This option is correct because the fraction 15/46 is less than 1/3.