Question

Which expression below is equivalent to 6/7x + 2 1/7 ?

A.3/7 (2x+5)
B.1/7(6x+2)
C.2/7(3x+4)
D.6/7(x+ 1 2/7)

Answer 1

The choice A .

`(3)/(7) (2x + 5)`

Explanation:

`a. \: (3)/(7) (2x + 5) = (6)/(7) x + (15)/(7) = (6)/(7)x + 2 (1)/(7) \\ \\ \\ b. \: (1)/(7) (6x + 2) = (6)/(7) x + (2)/(7) \\ \\ \\ c. \: (2)/(7) (3x + 4) = (6)/(7) x + (8)/(7) = (6)/(7) x + 1 (1)/(7) \\ \\ \\ d. \: (6)/(7) (x + 1 (2)/(7) ) = (6)/(7) (x + (9)/(7) ) = (6)/(7) x + (54)/(49)`