simplify: $\frac{1}{4} - \frac{5}{7} \cdot \frac{3}{10}$ answer

Question

< 15.e >

simplify:

$\frac{1}{4} - \frac{5}{7} \cdot \frac{3}{10}$

answer

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "blank_filling_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [], "new_concepts": [ "Complex Fractions", "Fraction Division" ], "current_concepts": [ "Complex Fractions", "Fraction Division", "Fraction Multiplication" ] } ## Simplify the numerator and denominator $$ \begin{aligned} \text{Numerator} &= \frac{1}{4} - \frac{5}{7} = \frac{7}{28} - \frac{20}{28} = -\frac{13}{28} \ \text{Denominator} &= \frac{3}{10} \end{aligned} $$ ## Divide the numerator by the denominator $$ \begin{aligned} -\frac{13}{28} \div \frac{3}{10} &= -\frac{13}{28} \times \frac{10}{3} \ &= -\frac{13 \times 5}{14 \times 3} \ &= -\frac{65}{42} \end{aligned} $$ Simplify: $\frac{\frac{1}{4} - \frac{5}{7}}{\frac{3}{10}}$ Answer $-\frac{65}{42}$ { "subject": "Mathematics", "question_type": "Fill-in-the-blank", "knowledge_point": [ "Mathematics", "Algebra", "Complex Fractions" ] }

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Question

Explanation:

Simplify the numerator and denominator

Divide the numerator by the denominator

Answer: