rewrite the fraction with the indicated denominator.
$\frac{2}{5} = \frac{\quad}{40}$

$\circ\ \frac{14}{40}$
$\circ\ \frac{2}{40}$
$\circ\ \frac{8}{40}$
$\circ\ \frac{16}{40}$

Question

rewrite the fraction with the indicated denominator.
$\frac{2}{5} = \frac{\quad}{40}$

$\circ\ \frac{14}{40}$
$\circ\ \frac{2}{40}$
$\circ\ \frac{8}{40}$
$\circ\ \frac{16}{40}$

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "multiple_choice_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Arithmetic" ], "new_concepts": [ "Equivalent Fractions" ], "current_concepts": [ "Arithmetic", "Equivalent Fractions" ] } ## Find the scaling factor for the denominator $$ \frac{40}{5} = 8 $$ ## Multiply the numerator by the scaling factor $$ 2 \times 8 = 16 $$ ## Write the equivalent fraction $$ \frac{2}{5} = \frac{16}{40} $$

(A) $\frac{14}{40}$

(B) $\frac{2}{40}$

(C) $\frac{8}{40}$

(D) $\frac{16}{40}$

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

Sovi.AI - AI Math Tutor

QUESTION IMAGE

Question

Explanation:

Find the scaling factor for the denominator

Multiply the numerator by the scaling factor

Write the equivalent fraction

Answer: