complete additional problems below. when finished, hand in your tape for review.
covert from fractions to decimals (round to two decimal places):
1. $12\ \frac{3}{5}$
2. $132\ \frac{6}{7}$
3. $2\ \frac{5}{9}$
4. $3\ \frac{1}{3}$
5. $14\ \frac{1}{6} \times 15\ \frac{1}{2}$
6. $2 \times 9\ \frac{12}{30}$
7. $4\ \frac{3}{4} \times 7\ \frac{1}{4}$
8. $.25 \times 1\ \frac{3}{8}$
9. $1.66 \times \frac{3}{4}$
10. $12 \times 32\ \frac{1}{7}$
11. $.5 \times \frac{1}{6}$
12. $15\ \frac{1}{3} \times \frac{1}{25}$
13. $10 \times 10\ \frac{1}{2}$
14. $.33 \times \frac{1}{3}$
15. $\frac{2}{3} \times .66$

Question

Accepted Answer

{ "quality": "clear", "question_count": 15, "skills_matched": [ "step_cot", "table_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Decimal Multiplication", "Decimal Division" ], "new_concepts": [ "Fraction to Decimal Conversion", "Mixed Number Multiplication" ], "current_concepts": [ "Fraction to Decimal Conversion", "Mixed Number Multiplication", "Decimal Multiplication", "Decimal Division" ] } ## Convert mixed numbers to decimals $$ \begin{aligned} &\text{1. } 12\frac{3}{5} = 12 + 0.6 = 12.60\ &\text{2. } 132\frac{6}{7} \approx 132 + 0.8571 = 132.86\ &\text{3. } 2\frac{5}{9} \approx 2 + 0.5556 = 2.56\ &\text{4. } 3\frac{1}{3} \approx 3 + 0.3333 = 3.33 \end{aligned} $$ ## Calculate products 5 to 8 $$ \begin{aligned} &\text{5. } 14\frac{1}{6} \times 15\frac{1}{2} = \frac{85}{6} \times \frac{31}{2} = \frac{2635}{12} \approx 219.58\ &\text{6. } 2 \times 9\frac{12}{30} = 2 \times 9.4 = 18.80\ &\text{7. } 4\frac{3}{4} \times 7\frac{1}{4} = 4.75 \times 7.25 = 34.4375 \approx 34.44\ &\text{8. } 0.25 \times 1\frac{3}{8} = 0.25 \times 1.375 = 0.34375 \approx 0.34 \end{aligned} $$ ## Calculate products 9 to 15 $$ \begin{aligned} &\text{9. } 1.66 \times \frac{3}{4} = 1.66 \times 0.75 = 1.245 \approx 1.25\ &\text{10. } 12 \times 32\frac{1}{7} = 12 \times \frac{225}{7} = \frac{2700}{7} \approx 385.71\ &\text{11. } 0.5 \times \frac{1}{6} \approx 0.5 \times 0.1667 \approx 0.08\ &\text{12. } 15\frac{1}{3} \times \frac{1}{25} = \frac{46}{3} \times \frac{1}{25} = \frac{46}{75} \approx 0.61\ &\text{13. } 10 \times 10\frac{1}{2} = 10 \times 10.5 = 105.00\ &\text{14. } 0.33 \times \frac{1}{3} = 0.33 \times 0.3333 = 0.11\ &\text{15. } \frac{2}{3} \times 0.66 \approx 0.6667 \times 0.66 = 0.44 \end{aligned} $$ | No. | Problem | Answer | |---|---|---| | 1 | $12\frac{3}{5}$ | $12.60$ | | 2 | $132\frac{6}{7}$ | $132.86$ | | 3 | $2\frac{5}{9}$ | $2.56$ | | 4 | $3\frac{1}{3}$ | $3.33$ | | 5 | $14\frac{1}{6} \times 15\frac{1}{2}$ | $219.58$ | | 6 | $2 \times 9\frac{12}{30}$ | $18.80$ | | 7 | $4\frac{3}{4} \times 7\frac{1}{4}$ | $34.44$ | | 8 | $.25 \times 1\frac{3}{8}$ | $0.34$ | | 9 | $1.66 \times \frac{3}{4}$ | $1.25$ | | 10 | $12 \times 32\frac{1}{7}$ | $385.71$ | | 11 | $.5 \times 1/6$ | $0.08$ | | 12 | $15\frac{1}{3} \times 1/25$ | $0.61$ | | 13 | $10 \times 10\frac{1}{2}$ | $105.00$ | | 14 | $.33 \times 1/3$ | $0.11$ | | 15 | $2/3 \times .66$ | $0.44$ | { "subject": "Mathematics", "question_type": "Fill-in-the-blank", "knowledge_point": [ "Mathematics", "Algebra", "Fraction to Decimal Conversion" ] }

No.	Problem	Answer
2	\(132\frac{6}{7}\)	\(132.86\)
3	\(2\frac{5}{9}\)	\(2.56\)
4	\(3\frac{1}{3}\)	\(3.33\)
5	\(14\frac{1}{6} \times 15\frac{1}{2}\)	\(219.58\)
6	\(2 \times 9\frac{12}{30}\)	\(18.80\)
7	\(4\frac{3}{4} \times 7\frac{1}{4}\)	\(34.44\)
8	\(.25 \times 1\frac{3}{8}\)	\(0.34\)
9	\(1.66 \times \frac{3}{4}\)	\(1.25\)
10	\(12 \times 32\frac{1}{7}\)	\(385.71\)
11	\(.5 \times 1/6\)	\(0.08\)
12	\(15\frac{1}{3} \times 1/25\)	\(0.61\)
13	\(10 \times 10\frac{1}{2}\)	\(105.00\)
14	\(.33 \times 1/3\)	\(0.11\)
15	\(2/3 \times .66\)	\(0.44\)

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QUESTION IMAGE

Question

Explanation:

Convert mixed numbers to decimals

Calculate products 5 to 8

Calculate products 9 to 15

Answer: