find and simplify the product of $\frac{3}{5}$ and $\frac{10}{13}$.

select one answer
a $\frac{6}{65}$
b $\frac{3}{13}$
c $\frac{6}{13}$
d $\frac{1}{2}$

Question

find and simplify the product of $\frac{3}{5}$ and $\frac{10}{13}$.

select one answer
a $\frac{6}{65}$
b $\frac{3}{13}$
c $\frac{6}{13}$
d $\frac{1}{2}$

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "multiple_choice_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Multiplying Fractions" ], "new_concepts": [], "current_concepts": [ "Multiplying Fractions", "Fraction Simplification" ] } ## Set up the multiplication of the fractions $$ \frac{3}{5} \times \frac{10}{13} $$ ## Simplify by cross-canceling common factors $$ \frac{3}{5} \times \frac{10}{13} = \frac{3}{1} \times \frac{2}{13} $$ ## Multiply the remaining numerators and denominators $$ \frac{3 \times 2}{1 \times 13} = \frac{6}{13} $$

(A) $\frac{6}{65}$

(B) $\frac{3}{13}$

(C) $\frac{6}{13}$

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

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

Sovi.AI - AI Math Tutor

QUESTION IMAGE

Question

Explanation:

Set up the multiplication of the fractions

Simplify by cross-canceling common factors

Multiply the remaining numerators and denominators

Answer: