add. simplify, if possible.

$\frac{15}{6v} + \frac{3}{4v}$

$\frac{15}{6v} + \frac{3}{4v} = \square$
(type a fraction.)

Question

add. simplify, if possible.

$\frac{15}{6v} + \frac{3}{4v}$

$\frac{15}{6v} + \frac{3}{4v} = \square$
(type a fraction.)

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "blank_filling_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Rational Expressions", "Least Common Denominator", "Adding Rational Expressions" ], "new_concepts": [], "current_concepts": [ "Rational Expressions", "Least Common Denominator", "Adding Rational Expressions" ] } ## Find the least common denominator $$ \begin{aligned} &\text{Denominators: } 6v, \quad 4v\ &\text{LCM}(6, 4) = 12\ &\text{LCD} = 12v \end{aligned} $$ ## Rewrite fractions with the LCD $$ \begin{aligned} &\frac{15}{6v} = \frac{15 \cdot 2}{6v \cdot 2} = \frac{30}{12v}\ &\frac{3}{4v} = \frac{3 \cdot 3}{4v \cdot 3} = \frac{9}{12v} \end{aligned} $$ ## Add and simplify the numerators $$ \frac{30}{12v} + \frac{9}{12v} = \frac{39}{12v} = \frac{13}{4v} $$ Add. Simplify, if possible. $\frac{15}{6v} + \frac{3}{4v} =$ $\frac{13}{4v}$ (Type a fraction.) { "subject": "Mathematics", "question_type": "Fill-in-the-blank", "knowledge_point": [ "Mathematics", "Algebra", "Adding Rational Expressions" ] }

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QUESTION IMAGE

Question

Explanation:

Find the least common denominator

Rewrite fractions with the LCD

Add and simplify the numerators

Answer: