Subjects algebra

Expression Evaluation 32D20E

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1. The problem is to evaluate the expression $\frac{(26.7 - 13 \frac{1}{5})}{1.8} + 0.125$. 2. First, convert the mixed number $13 \frac{1}{5}$ to an improper fraction or decimal: $13 \frac{1}{5} = 13 + \frac{1}{5} = 13 + 0.2 = 13.2$. 3. Calculate the subtraction inside the parentheses: $$26.7 - 13.2 = 13.5$$ 4. Now divide by $1.8$: $$\frac{13.5}{1.8}$$ 5. Simplify the fraction by dividing numerator and denominator by $0.3$: $$\frac{\cancel{13.5}^{45} \div 0.3}{\cancel{1.8}^{6} \div 0.3} = \frac{45}{6}$$ 6. Simplify $\frac{45}{6}$ by dividing numerator and denominator by $3$: $$\frac{\cancel{45}^{15} \div 3}{\cancel{6}^{2} \div 3} = \frac{15}{2} = 7.5$$ 7. Add $0.125$ to the result: $$7.5 + 0.125 = 7.625$$ 8. Check the options: A. 18, B. 19, C. 0, D. 20, E. No answer matches. 9. The closest is none, so the answer is not listed among the options. Final answer: $7.625$ (not among given options).