Question

Given the expressions 2, 345, r × 3 × 1, and s(2x), which expression is equivalent to (r/s)(6)?

A. 2 × (r/s)
B. 6 × (r/s)
C. 6 × 2 × (r/s)
D. 6 × (r × 3 × 1) × (2x)

Answer 1

The equivalent expression to (r/s)(6) is option B, which is 6 × (r/s), according to the commutative property of multiplication.

Step-by-step explanation:

The expression equivalent to (r/s)(6) is found by multiplying the entire fraction (r/s) by 6. Therefore, the correct expression is multiplying 6 directly with the fraction (r/s), which gives us 6 × (r/s), aligning with option B. It's important to follow the commutative property of multiplication, which states that the order of factors does not change the product, reinforcing the solution.