Question

Solve for x. x + 2 4/5 = 3 1/6

Answer 1

11/30

Explanation:

2 4/5= 2 24/30 = 84/30

3 1/6= 3 5/30= 95/30

95/30 - 84/30= 11/30

11/30=x

check answer

11/30 + 2 4/5= 3 1/6

11/30 + 2 24/30 = 3 1/6

2 35/30 = 3 1/6

Simply

2 35/30 = 3 5/30 = 3 1/6

Make the statement true x = 11/30

Answer 2

`\huge\boxed{\sf x = (11)/(30) }`

Explanation:

Given equation:

`\displaystyle x + 2(4)/(5) = 3 (1)/(6)`

Subtract 2 4/5 from both sides

`\displaystyle x = 3(1)/(6) - 2(4)/(5) \\\\x = (6 * 3 + 1)/(6) - (5 * 2 + 4)/(5) \\\\x = (19)/(6) - (14)/(5) \\\\Take\ LCM = 30\\\\x = (19 * 5 - 14 * 6)/(30) \\\\x = (95 - 84)/(30) \\\\x = (11)/(30) \\\\\rule[225]{225}{2}`