evaluate. write your answer as a fraction in simplest form.

\\frac{3}{4} - \frac{1}{2} + \frac{4}{7}\

Question

evaluate. write your answer as a fraction in simplest form.

\\frac{3}{4} - \frac{1}{2} + \frac{4}{7}\

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Least Common Denominator", "Adding Fractions", "Subtracting Fractions" ], "new_concepts": [], "current_concepts": [ "Least Common Denominator", "Adding Fractions", "Subtracting Fractions", "Simplifying Fractions" ] } ## Find the least common denominator $$ \text{LCM}(4, 2, 7) = 28 $$ ## Convert fractions to equivalent fractions $$ \begin{aligned} \frac{3}{4} &= \frac{3 \times 7}{4 \times 7} = \frac{21}{28} \ \frac{1}{2} &= \frac{1 \times 14}{2 \times 14} = \frac{14}{28} \ \frac{4}{7} &= \frac{4 \times 4}{7 \times 4} = \frac{16}{28} \end{aligned} $$ ## Perform addition and subtraction $$ \frac{21}{28} - \frac{14}{28} + \frac{16}{28} = \frac{21 - 14 + 16}{28} = \frac{23}{28} $$ $\frac{23}{28}$ { "subject": "Mathematics", "question_type": "Free Response", "knowledge_point": [ "Mathematics", "Arithmetic", "Fraction Operations" ] }

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Question

Explanation:

Find the least common denominator

Convert fractions to equivalent fractions

Perform addition and subtraction

Answer: