add.

\\frac{4}{5} + \frac{2}{7}\

write your answer as a fraction in simplest form.

Question

add.

\\frac{4}{5} + \frac{2}{7}\

write your answer as a fraction in simplest form.

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "blank_filling_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Least Common Denominator", "Adding Fractions", "Simplifying Fractions" ], "new_concepts": [], "current_concepts": [ "Least Common Denominator", "Adding Fractions", "Simplifying Fractions" ] } ## Find the least common denominator $$ \text{lcm}(5, 7) = 35 $$ ## Convert fractions to equivalent fractions $$ \begin{aligned} \frac{4}{5} &= \frac{4 \times 7}{5 \times 7} = \frac{28}{35} \ \frac{2}{7} &= \frac{2 \times 5}{7 \times 5} = \frac{10}{35} \end{aligned} $$ ## Add the numerators $$ \frac{28}{35} + \frac{10}{35} = \frac{28 + 10}{35} = \frac{38}{35} $$ Add. $$\frac{4}{5} + \frac{2}{7}$$ Write your answer as a fraction in simplest form. $\frac{38}{35}$ { "subject": "Mathematics", "question_type": "Fill-in-the-blank", "knowledge_point": [ "Mathematics", "Arithmetic", "Adding Fractions" ] }

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QUESTION IMAGE

Question

Explanation:

Find the least common denominator

Convert fractions to equivalent fractions

Add the numerators

Answer: