(1) $3 \frac{1}{5} \times 12.5 \times \frac{4}{5} =$

(2) $0.8 \times \frac{3}{4} \times 2 \frac{1}{6} =$

(3) $0.5 \times \frac{2}{3} \times 1 \frac{1}{4} =$

(4) $1 \frac{1}{15} \times 1.25 \times \frac{4}{5} =$

(5) $2 \frac{3}{11} \times 0.44 \times 1 \frac{1}{4} =$

Question

(1) $3 \frac{1}{5} \times 12.5 \times \frac{4}{5} =$

(2) $0.8 \times \frac{3}{4} \times 2 \frac{1}{6} =$

(3) $0.5 \times \frac{2}{3} \times 1 \frac{1}{4} =$

(4) $1 \frac{1}{15} \times 1.25 \times \frac{4}{5} =$

(5) $2 \frac{3}{11} \times 0.44 \times 1 \frac{1}{4} =$

Accepted Answer

{ "quality": "clear", "question_count": 5, "skills_matched": [ "step_cot", "table_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Fraction Multiplication", "Mixed Numbers", "Multiplication of Three Fractions" ], "new_concepts": [], "current_concepts": [ "Fraction Multiplication", "Mixed Numbers", "Multiplication of Three Fractions", "Decimal to Fraction Conversion" ] } ## Convert terms to improper fractions $$ \begin{aligned} &\text{(1) } 3\frac{1}{5} \times 12.5 \times \frac{4}{5} = \frac{16}{5} \times \frac{125}{10} \times \frac{4}{5} = \frac{16}{5} \times \frac{25}{2} \times \frac{4}{5}\ &\text{(2) } 0.8 \times \frac{3}{4} \times 2\frac{1}{6} = \frac{8}{10} \times \frac{3}{4} \times \frac{13}{6} = \frac{4}{5} \times \frac{3}{4} \times \frac{13}{6}\ &\text{(3) } 0.5 \times \frac{2}{3} \times 1\frac{1}{4} = \frac{1}{2} \times \frac{2}{3} \times \frac{5}{4}\ &\text{(4) } 1\frac{1}{15} \times 1.25 \times \frac{4}{5} = \frac{16}{15} \times \frac{125}{100} \times \frac{4}{5} = \frac{16}{15} \times \frac{5}{4} \times \frac{4}{5}\ &\text{(5) } 2\frac{3}{11} \times 0.44 \times 1\frac{1}{4} = \frac{25}{11} \times \frac{44}{100} \times \frac{5}{4} = \frac{25}{11} \times \frac{11}{25} \times \frac{5}{4} \end{aligned} $$ ## Multiply and simplify $$ \begin{aligned} &\text{(1) } \frac{16 \times 25 \times 4}{5 \times 2 \times 5} = \frac{16 \times 25 \times 4}{50} = \frac{1600}{50} = 32\ &\text{(2) } \frac{4 \times 3 \times 13}{5 \times 4 \times 6} = \frac{13}{5 \times 2} = \frac{13}{10} = 1\frac{3}{10}\ &\text{(3) } \frac{1 \times 2 \times 5}{2 \times 3 \times 4} = \frac{5}{12}\ &\text{(4) } \frac{16 \times 5 \times 4}{15 \times 4 \times 5} = \frac{16}{15} = 1\frac{1}{15}\ &\text{(5) } \frac{25 \times 11 \times 5}{11 \times 25 \times 4} = \frac{5}{4} = 1\frac{1}{4} \end{aligned} $$ | No. | Problem | Answer | |---|---|---| | (1) | $3\frac{1}{5} \times 12.5 \times \frac{4}{5}$ | $32$ | | (2) | $0.8 \times \frac{3}{4} \times 2\frac{1}{6}$ | $1\frac{3}{10}$ | | (3) | $0.5 \times \frac{2}{3} \times 1\frac{1}{4}$ | $\frac{5}{12}$ | | (4) | $1\frac{1}{15} \times 1.25 \times \frac{4}{5}$ | $1\frac{1}{15}$ | | (5) | $2\frac{3}{11} \times 0.44 \times 1\frac{1}{4}$ | $1\frac{1}{4}$ | { "subject": "Mathematics", "question_type": "Free Response", "knowledge_point": [ "Mathematics", "Algebra", "Fraction Multiplication" ] }

No.	Problem	Answer
(2)	\(0.8 \times \frac{3}{4} \times 2\frac{1}{6}\)	\(1\frac{3}{10}\)
(3)	\(0.5 \times \frac{2}{3} \times 1\frac{1}{4}\)	\(\frac{5}{12}\)
(4)	\(1\frac{1}{15} \times 1.25 \times \frac{4}{5}\)	\(1\frac{1}{15}\)
(5)	\(2\frac{3}{11} \times 0.44 \times 1\frac{1}{4}\)	\(1\frac{1}{4}\)

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QUESTION IMAGE

Question

Explanation:

Convert terms to improper fractions

Multiply and simplify

Answer: