Question

Two-thirds of the product of a and b.

How would I write this without an actual number, just replace the number with an X?"

a. 3/2×X
b. 3/X
c. X/2
d. X× 3/1

Answer 1

The expression 'two-thirds of the product of a and b' is algebraically represented as '(2/3) × X', where 'X' is the product of a and b. Option (a) is the correct representation.

Step-by-step explanation:

To express two-thirds of the product of a and b without actual numbers and using an 'X' to represent the product, we need to understand how to work with fractions and multiplication in algebra. The product of a and b would be written as ab. However, since we are replacing ab with X, the expression becomes X. Now, to find two-thirds of this product, we multiply X by the fraction 2/3, so the expression is written as (2/3) × X. Therefore, the correct written form is 2/3 × X, which corresponds to option (a).