Basic algebra

Algebra Level 1

x + 1 3 x + 2 6 x 2 \large \frac{\frac{x+1}{3}-\frac{x+2}{6}}{\frac{x}{2}}

Find the value of the expression above for x 0 x\ne 0 .


The answer is 0.333.

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1 solution

x + 1 3 x + 2 6 x 2 = 2 x + 2 6 x + 2 6 x 2 = x 6 x 2 \frac{\frac{x+1}{3}-\frac{x+2}{6}}{\frac{x}{2}}=\frac{\frac{2x+2}{6}-\frac{x+2}{6}}{\frac{x}{2}}=\frac{\frac{x}{6}}{\frac{x}{2}} = 1 3 \frac{1}{3}

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