Question

What is the product of the reciprocal of 2/3,1/8,and 5 : a) 3/40

b) 12/5
c) 5/12
d) 40/3

Answer 1

To find the product of the reciprocals of 2/3, 1/8, and 5, we first determine the reciprocals to be 3/2, 8/1, and 1/5 and then multiply them together to get 12/5.

Step-by-step explanation:

The question asks us to find the product of the reciprocal of three numbers: 2/3, 1/8, and 5. To find the reciprocal of a number, you flip the number or fraction upside-down. So the reciprocals are 3/2 (for 2/3), 8/1 (for 1/8), and 1/5 (for 5).

Multiplying these reciprocals together gives us:

(3/2) × (8/1) × (1/5) = 24/10 = 12/5 after simplifying.

Therefore, the product of the reciprocals is 12/5, which corresponds to option b.