ombine the following fractions and express in fully reduced forn \[ \frac{9 x}{2}-\frac{2 x}{9} \]

Calculate or simplify the expression \( \frac{9x}{2}-\frac{2x}{9} \). Simplify the expression by following steps: - step0: Solution: \(\frac{9x}{2}-\frac{2x}{9}\) - step1: Reduce fractions to a common denominator: \(\frac{9x\times 9}{2\times 9}-\frac{2x\times 2}{9\times 2}\) - step2: Multiply the numbers: \(\frac{9x\times 9}{18}-\frac{2x\times 2}{9\times 2}\) - step3: Multiply the numbers: \(\frac{9x\times 9}{18}-\frac{2x\times 2}{18}\) - step4: Transform the expression: \(\frac{9x\times 9-2x\times 2}{18}\) - step5: Multiply the terms: \(\frac{81x-2x\times 2}{18}\) - step6: Multiply the terms: \(\frac{81x-4x}{18}\) - step7: Subtract the terms: \(\frac{77x}{18}\) The fully reduced form of the expression \(\frac{9x}{2}-\frac{2x}{9}\) is \(\frac{77x}{18}\).