1. the all-star appliance shop sold 10 refrigerators, 8 ranges, 12 freezers, 12 washing machines, and 8 clothes dryers during january. freezers made up what part of the appliances sold in january?

(a) $\frac{12}{50}$
(b) $\frac{12}{25}$
(c) $\frac{1}{2}$
(d) $\frac{12}{40}$

2. what part of a day is 4 hours 20 minutes?

(a) $\frac{1}{6}$
(b) $\frac{13}{300}$
(c) $\frac{312}{3}$
(d) $\frac{13}{72}$

3. what part of an hour elapses between 6:51 p.m. and 7:27 p.m.?

(a) $\frac{1}{2}$
(b) $\frac{2}{3}$
(c) $\frac{3}{5}$
(d) $\frac{17}{30}$

4. laurie spent 8 hours reading a novel. if she finished $\frac{2}{5}$ of the book, how many more hours will she need to read the rest of the book?

(a) 20
(b) 12
(c) $3\frac{1}{5}$
(d) 18

5. after typing $\frac{1}{4}$ of a term paper on friday, richard completed $\frac{2}{3}$ of the remainder on saturday. if he wanted to finish the paper that weekend, what part was left to be typed on sunday?

(a) $\frac{1}{4}$
(b) $\frac{2}{3}$
(c) $\frac{1}{3}$
(d) $\frac{1}{2}$

6. the sum of $\frac{4}{5}$, $\frac{3}{4}$, and $\frac{1}{3}$ is

(a) $\frac{113}{60}$
(b) $\frac{1}{5}$
(c) $\frac{10}{9}$
(d) $\frac{11}{6}$

Question

1. the all-star appliance shop sold 10 refrigerators, 8 ranges, 12 freezers, 12 washing machines, and 8 clothes dryers during january. freezers made up what part of the appliances sold in january?

(a) $\frac{12}{50}$
(b) $\frac{12}{25}$
(c) $\frac{1}{2}$
(d) $\frac{12}{40}$

2. what part of a day is 4 hours 20 minutes?

(a) $\frac{1}{6}$
(b) $\frac{13}{300}$
(c) $\frac{312}{3}$
(d) $\frac{13}{72}$

3. what part of an hour elapses between 6:51 p.m. and 7:27 p.m.?

(a) $\frac{1}{2}$
(b) $\frac{2}{3}$
(c) $\frac{3}{5}$
(d) $\frac{17}{30}$

4. laurie spent 8 hours reading a novel. if she finished $\frac{2}{5}$ of the book, how many more hours will she need to read the rest of the book?

(a) 20
(b) 12
(c) $3\frac{1}{5}$
(d) 18

5. after typing $\frac{1}{4}$ of a term paper on friday, richard completed $\frac{2}{3}$ of the remainder on saturday. if he wanted to finish the paper that weekend, what part was left to be typed on sunday?

(a) $\frac{1}{4}$
(b) $\frac{2}{3}$
(c) $\frac{1}{3}$
(d) $\frac{1}{2}$

6. the sum of $\frac{4}{5}$, $\frac{3}{4}$, and $\frac{1}{3}$ is

(a) $\frac{113}{60}$
(b) $\frac{1}{5}$
(c) $\frac{10}{9}$
(d) $\frac{11}{6}$

Accepted Answer

{ "quality": "clear", "question_count": 6, "skills_matched": [ "step_cot", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [], "new_concepts": [ "Fraction Word Problems", "Time Unit Conversion", "Fraction Addition" ], "current_concepts": [ "Fraction Word Problems", "Time Unit Conversion", "Fraction Addition" ] } ## Solve Question 1 $$ \begin{aligned} \text{Total appliances} &= 10 + 8 + 12 + 12 + 8 = 50 \ \text{Freezers} &= 12 \ \text{Fraction} &= \frac{12}{50} = \frac{6}{25} \end{aligned} $$ ## Solve Question 2 $$ \begin{aligned} 4\text{ hours } 20\text{ minutes} &= 4 \times 60 + 20 = 260\text{ minutes} \ 1\text{ day} &= 24 \times 60 = 1440\text{ minutes} \ \text{Fraction} &= \frac{260}{1440} = \frac{13}{72} \end{aligned} $$ ## Solve Question 3 $$ \begin{aligned} \text{Elapsed time} &= 7:27 - 6:51 = 36\text{ minutes} \ 1\text{ hour} &= 60\text{ minutes} \ \text{Fraction} &= \frac{36}{60} = \frac{3}{5} \end{aligned} $$ ## Solve Question 4 $$ \begin{aligned} \text{Total reading time } T &= 8 \div \frac{2}{5} = 20\text{ hours} \ \text{Remaining hours} &= 20 - 8 = 12\text{ hours} \end{aligned} $$ ## Solve Question 5 $$ \begin{aligned} \text{Remainder after Friday} &= 1 - \frac{1}{4} = \frac{3}{4} \ \text{Completed on Saturday} &= \frac{2}{3} \times \frac{3}{4} = \frac{1}{2} \ \text{Left for Sunday} &= \frac{3}{4} - \frac{1}{2} = \frac{1}{4} \end{aligned} $$ ## Solve Question 6 $$ \begin{aligned} \text{Sum} &= \frac{4}{5} + \frac{3}{4} + \frac{1}{3} \ \text{LCD} &= 60 \ \text{Sum} &= \frac{48}{60} + \frac{45}{60} + \frac{20}{60} = \frac{113}{60} \end{aligned} $$ ## Question 1 (A) $\frac{12}{50}$

(B) $\frac{12}{25}$

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

(D) $\frac{12}{40}$ ## Question 2 (A) $\frac{1}{6}$

(B) $\frac{13}{300}$

(C) $\frac{312}{3}$

(D) $\frac{13}{72}$ ## Question 3 (A) $\frac{1}{2}$

(B) $\frac{2}{3}$

(C) $\frac{3}{5}$

(D) $\frac{17}{30}$ ## Question 4 (A) 20

(B) 12

(C) $3\frac{1}{5}$

(D) 18 ## Question 5 (A) $\frac{1}{4}$

(B) $\frac{2}{3}$

(C) $\frac{1}{3}$

(D) $\frac{1}{2}$ ## Question 6 (A) $\frac{113}{60}$

(B) $\frac{1}{5}$

(C) $\frac{10}{9}$

(D) $\frac{11}{6}$

{ "subject": "Mathematics", "question_type": "Multiple Choice", "knowledge_point": [ "Mathematics", "Algebra", "Fraction Word Problems" ] }

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