Final answer:
Each student in Mrs. Bailey's class will receive 2/3 of a block of clay when 6 blocks are shared equally among 14 students. The options provided in the question do not match this correct answer and may contain a typo.
Step-by-step explanation:
To determine how much clay each student will get if 14 students share 6 blocks of clay equally, we need to divide the total number of clay blocks (6) by the number of students (14). This is a division problem that can be expressed as 6 ÷ 14. Performing this division, we get a quotient of 4/6, which can be simplified to 2/3 (since both the numerator and the denominator are divisible by 2).
Therefore, each student will get 2/3 of a block of clay. Looking at the multiple-choice options provided, none of them correctly represent the solution. If the options were meant to read as fractions rather than mixed numbers, option (b) would be closest after simplifying, but as it stands, there might be a typo in the choices as none corresponds to the correct answer of 2/3. In this case, it’s important to communicate with the teacher regarding the discrepancy.