Question

Solve for x.2 1/4x = 8 1/2

Answer 1

`\large\boxed{x=3(7)/(9)}`

Explanation:

`2(1)/(4)x=8(1)/(2)\qquad\text{convert the mixed numbers to the improper fractions}\\\\(2\cdot4+1)/(4)x=(8\cdot2+1)/(2)\\\\(9)/(4)x=(17)/(2)\qquad\text{multiply both sides by 4}\\\\4\!\!\!\!\diagup^1\cdot(9)/(4\!\!\!\!\diagup_1)x=4\!\!\!\!\diagup^2\cdot(17)/(2\!\!\!\!\diagup_1)\\\\9x=(2)(17)\\\\9x=34\qquad\text{divide both sides by 9}\\\\x=(34)/(9)\\\\x=3(7)/(9)`