Question

A student found an incorrect answer to the problem 5/2 ×3/4 . The student's answer is represented in the work shown. Student's work:

2/5×4/3=6/20=3/10 . Which of the following student work samples shows incorrect work that is most similar to the preceding work?

a. 5/4 x 1/2 = 6/8 =3⁄4
b. 5/3 x 12/15 = 60/45 = 3/2
c. 7/4 x 7/3 = 28/21 = 4/3
d. 1/2 x 9/10 = 10/18 = 5/9

Answer 1

The student's incorrect work for 5/2 × 3/4 is most similar to the incorrect work shown in option B, which should give 4/5 as the answer.

Step-by-step explanation:

The student's work for the problem 5/2 × 3/4 is represented as 2/5 × 4/3, which simplifies to 6/20 and further reduces to 3/10. We need to find the incorrect work that is most similar to this. Option B, 5/3 × 12/15 = 60/45 = 3/2, is the most similar because it involves the same multiplication of fractions and yields a simplified fraction as the final answer. However, the correct answer for this multiplication is actually 4/5. Therefore, option B is the correct answer.