(b) \( \frac{5}{6}-\frac{2}{3}+\left(\frac{8}{9}\right) \)

Calculate or simplify the expression \( 5/6-2/3+8/9 \). Calculate the value by following steps: - step0: Calculate: \(\frac{5}{6}-\frac{2}{3}+\frac{8}{9}\) - step1: Reduce fractions to a common denominator: \(\frac{5\times 3}{6\times 3}-\frac{2\times 2\times 3}{3\times 2\times 3}+\frac{8\times 2}{9\times 2}\) - step2: Multiply the numbers: \(\frac{5\times 3}{18}-\frac{2\times 2\times 3}{3\times 2\times 3}+\frac{8\times 2}{9\times 2}\) - step3: Multiply the terms: \(\frac{5\times 3}{18}-\frac{2\times 2\times 3}{18}+\frac{8\times 2}{9\times 2}\) - step4: Multiply the numbers: \(\frac{5\times 3}{18}-\frac{2\times 2\times 3}{18}+\frac{8\times 2}{18}\) - step5: Transform the expression: \(\frac{5\times 3-2\times 2\times 3+8\times 2}{18}\) - step6: Multiply the numbers: \(\frac{15-2\times 2\times 3+8\times 2}{18}\) - step7: Multiply the terms: \(\frac{15-12+8\times 2}{18}\) - step8: Multiply the numbers: \(\frac{15-12+16}{18}\) - step9: Calculate: \(\frac{19}{18}\) The result of \( \frac{5}{6}-\frac{2}{3}+\left(\frac{8}{9}\right) \) is \( \frac{19}{18} \) or \( 1\frac{1}{18} \) or \( 1.0\dot{5} \).