Question

Which expression is equivalent to 4/5x + 1 1/5?

A. 1/5 (4x + 1)
B. 2/5 (2x + 3)
C. 4/5 (x + 2)
D. 5/4 (x + 1)
I'd love it if you gave me an explanation for this.

Answer 1

The answer would be B!

Explanation:

To find which expression is equivalent, do the distributive property.

A. 1/5 * 4x = 4/5x

1/5 * 1/1 = 1/5

4/5x + 1/5 <--- This is wrong!

B. 2/5 * 2x = 4/5x

2/5 * 3/1 = 6/5 = 1 1/5

4/5x + 1 1/5 <--- This is correct!

C. 4/5 * x = 4/5x

4/5 * 2/1 = 8/5

4/5x + 8/5 <--- This is wrong!

D. 5/4*x = 5/4x

5/4 * 1/1 = 5/4

5/4x + 5/4 <--- This is wrong!

Therefore, the answer is B! Hope this helps!