Question

What is the answer to this, W+3⅜=1 5/6

Answer 1

`\large\boxed{w=-(37)/(24)=-1(13)/(24)}`

Explanation:

`w+3(3)/(8)=1(5)/(6)\qquad\text{convert mixed numbers to improper fractions}\\\\w+(3\cdot8+3)/(8)=(1\cdot6+5)/(6)\\\\w+(27)/(8)=(11)/(6)\qquad\text{multiply both sides by 24}\\\\24w+24\!\!\!\!\!\diagup^3\cdot(27)/(8\!\!\!\!\diagup_1)=24\!\!\!\!\!\diagup^4\cdot(11)/(6\!\!\!\!\diagup_1)\\\\24w+81=44\qquad\text{subtract 81 from both sides}\\\\24w=-37\qquad\text{divide both sides by 24}\\\\w=-(37)/(24)`

Answer 2

w + 3 3/8 = 1 5/6

get a common denomator which is 24

3/8 *3/3 = 9/24

5/6 * 4/4 = 20/24

w + 3 9/24 = 1 20 /24

subtract 3 9/24 from each side

w = 1 20/24 - 3 9/24

w = 44/24 - 81/24

w = -37/24

w = -1 13/24