Question

Solve: x − 2 3 = 61 3 A) 42 9 B) 52 3 C) 6 D) 7

Answer 1

D:7

Explanation:

1) Convert mixed numbers into an improper fraction

6 1/3 =
`(19)/(3)`

Add 2/3 to both sides

x - 2/3 +2/3 = 19/3 + 2/3

x = 21/3 = 7

Answer 2

D) 7

Explanation:

`x-(2)/(3)=6(1)/(3)\qquad\text{add}\ (2)/(3)\ \text{to both sides}\\\\x-(2)/(3)+(2)/(3)=6(1)/(3)+(2)/(3)\\\\x=6(1+2)/(3)\\\\x=6(3)/(3)\\\\x=7`