Question

Leo says that the product n x 4/5 is greater than 4/5 because multiplication always increases a number. Which of the following values for n shown that Leo is incorrect?

a. 2
b. 7/6
c. 5/8
d. 5/4
e. 6/6

Answer 1

Answer: Let's plug in each value for n and compare the results:

a. n = 2

2 x 4/5 = 8/5 which is greater than 4/5.

b. n = 7/6

7/6 x 4/5 = 28/30 which simplifies to 14/15 which is greater than 4/5.

c. n = 5/8

5/8 x 4/5 = 20/40 which simplifies to 1/2 which is less than 4/5.

d. n = 5/4

5/4 x 4/5 = 20/20 which simplifies to 1 which is greater than 4/5.

e. n = 6/6

6/6 x 4/5 = 24/30 which simplifies to 4/5.

Therefore, the answer is (c) 5/8, which shows that Leo is incorrect. In this case, the product is less than 4/5.