which set of fractions could you use to add $\frac{2}{3} + \frac{1}{4}$?

* $\frac{4}{6} + \frac{2}{8}$
* $\frac{2}{6} + \frac{1}{8}$
* $\frac{8}{12} + \frac{3}{12}$
* $\frac{2}{12} + \frac{1}{12}$

Question

which set of fractions could you use to add $\frac{2}{3} + \frac{1}{4}$?

* $\frac{4}{6} + \frac{2}{8}$
* $\frac{2}{6} + \frac{1}{8}$
* $\frac{8}{12} + \frac{3}{12}$
* $\frac{2}{12} + \frac{1}{12}$

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "multiple_choice_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [], "new_concepts": [ "Common Denominator", "Equivalent Fractions" ], "current_concepts": [ "Common Denominator", "Equivalent Fractions", "Fraction Addition" ] } ## Find the least common denominator $$ \text{LCM}(3, 4) = 12 $$ ## Convert to equivalent fractions $$ \begin{aligned} \frac{2}{3} &= \frac{2 \times 4}{3 \times 4} = \frac{8}{12} \ \frac{1}{4} &= \frac{1 \times 3}{4 \times 3} = \frac{3}{12} \end{aligned} $$ ## Write the equivalent addition expression $$ \frac{8}{12} + \frac{3}{12} $$

(A) $\frac{4}{6} + \frac{2}{8}$

(B) $\frac{2}{6} + \frac{1}{8}$

(C) $\frac{8}{12} + \frac{3}{12}$

(D) $\frac{2}{12} + \frac{1}{12}$

{ "subject": "Mathematics", "question_type": "Multiple Choice", "knowledge_point": [ "Mathematics", "Algebra", "Equivalent Fractions" ] }

Sovi.AI - AI Math Tutor

QUESTION IMAGE

Question

Explanation:

Find the least common denominator

Convert to equivalent fractions

Write the equivalent addition expression

Answer: