question 13 (1 point)

evaluate.

\\frac{2}{3} - \frac{9}{10} + \frac{2}{5}\

type your answer as as fraction.

Question

question 13 (1 point)

evaluate.

\\frac{2}{3} - \frac{9}{10} + \frac{2}{5}\

type your answer as as fraction.

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "blank_filling_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [], "new_concepts": [ "Fraction Addition", "Fraction Subtraction", "Least Common Denominator" ], "current_concepts": [ "Fraction Addition", "Fraction Subtraction", "Least Common Denominator" ] } ## Find the least common denominator $$ \text{LCD}(3, 10, 5) = 30 $$ ## Convert fractions to equivalent fractions $$ \begin{aligned} \frac{2}{3} &= \frac{2 \times 10}{3 \times 10} = \frac{20}{30} \ \frac{9}{10} &= \frac{9 \times 3}{10 \times 3} = \frac{27}{30} \ \frac{2}{5} &= \frac{2 \times 6}{5 \times 6} = \frac{12}{30} \end{aligned} $$ ## Perform addition and subtraction $$ \frac{20}{30} - \frac{27}{30} + \frac{12}{30} = \frac{20 - 27 + 12}{30} = \frac{5}{30} = \frac{1}{6} $$ Evaluate. $$\frac{2}{3} - \frac{9}{10} + \frac{2}{5}$$ Type your answer as as fraction. $\frac{1}{6}$ { "subject": "Mathematics", "question_type": "Fill-in-the-blank", "knowledge_point": [ "Mathematics", "Algebra", "Fraction Addition and Subtraction" ] }

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QUESTION IMAGE

Question

Explanation:

Find the least common denominator

Convert fractions to equivalent fractions

Perform addition and subtraction

Answer: