Question 1

Subtract and simplify.
- 910−710\frac{9}{10}-\frac{7}{10}109​−107​

Accepted Answer

A)    15\frac{1}{5}51​ 
B)    20\frac{2}{0}02​ 
C)    220\frac{2}{20}202​ 
D)    210\frac{2}{10}102​E) C) and D)
F) B) and C)

Question 2

Solve.
-A worker has readings that take  23\frac{2}{3}32​  minute each to read and record. How many readings can be completed in 54 minutes?

Accepted Answer

A)   55 readings
B)   36 readings
C)   81 readings
D)   20 readings E) All of the above
F) A) and C)

Question 3

Solve and simplify.
- 114+x=514\frac{1}{14}+x=\frac{5}{14}141​+x=145​

Accepted Answer

A)    x=27x=\frac{2}{7}x=72​ 
B)    x=40x=\frac{4}{0}x=04​ 
C)    x=428x=\frac{4}{28}x=284​ 
D)    x=414x=\frac{4}{14}x=144​E) All of the above
F) B) and C) A

Question 4

Add and simplify.
- 12+78+24\frac{1}{2}+\frac{7}{8}+\frac{2}{4}21​+87​+42​

Accepted Answer

A)    112\frac{11}{2}211​ 
B)    54\frac{5}{4}45​ 
C)    154\frac{15}{4}415​ 
D)    158\frac{15}{8}815​E) B) and C)
F) None of the above

Question 5

Simplify.
- 23−16÷(45−12) \frac{2}{3}-\frac{1}{6} \div\left(\frac{4}{5}-\frac{1}{2}\right) 32​−61​÷(54​−21​)

Accepted Answer

A)    19\frac{1}{9}91​ 
B)    53\frac{5}{3}35​ 
C)    124\frac{1}{24}241​ 
D)    18\frac{1}{8}81​E) B) and D)
F) B) and C)

Question 6

Multiply and simplify.
- 132⋅213\frac{13}{2} \cdot \frac{2}{13}213​⋅132​

Accepted Answer

A)    4169\frac{4}{169}1694​ 
B)   1
C)   0
D)    1694\frac{169}{4}4169​E) A) and C)
F) B) and C)

Question 7

Convert to a mixed numeral.
- 607\frac{60}{7}760​

Accepted Answer

A)    760\frac{7}{60}607​ 
B)    6060760 \frac{60}{7}60760​ 
C)    8478 \frac{4}{7}874​ 
D)    6076060 \frac{7}{60}60607​E) B) and C)
F) A) and B) C

Question 8

Solve and simplify.
- x+27=514x+\frac{2}{7}=\frac{5}{14}x+72​=145​

Accepted Answer

A)    x=−114x=-\frac{1}{14}x=−141​ 
B)    x=914x=\frac{9}{14}x=149​ 
C)    x=17x=\frac{1}{7}x=71​ 
D)    x=114x=\frac{1}{14}x=141​E) A) and B)
F) B) and D)

Question 9

Solve. Write a mixed numeral for the answer.
-A square piece of paper has a side length of  s=758s=7 \frac{5}{8}s=785​  inches. A square of side length  12⋅s\frac{1}{2} \cdot s21​⋅s  is cut from one corner of the piece of paper. Find the area of the piece of paper that remains.

Accepted Answer

A)    43155256in.243 \frac{155}{256} \mathrm{in.}^{2}43256155​in.2 
B)    39131639 \frac{13}{16}391613​  in.  2^{2}2 
C)    4112525641 \frac{125}{256}41256125​  in.  2^{2}2 
D)    54216454 \frac{21}{64}546421​  in.  2^{2}2E) C) and D)
F) A) and B)

Question 10

Multiply and simplify.
- 135⋅1514\frac{13}{5} \cdot \frac{15}{14}513​⋅1415​

Accepted Answer

A)    3914\frac{39}{14}1439​ 
B)    1415\frac{14}{15}1514​ 
C)    19570\frac{195}{70}70195​ 
D)    2819\frac{28}{19}1928​E) B) and C)
F) None of the above

Question 11

Divide. Write a mixed numeral for the answer.
- 567÷4375 \frac{6}{7} \div 4 \frac{3}{7}576​÷473​

Accepted Answer

A)    210312 \frac{10}{31}23110​ 
B)    110311 \frac{10}{31}13110​ 
C)    110301 \frac{10}{30}13010​ 
D)    111311 \frac{11}{31}13111​E) None of the above
F) B) and C)

Question 12

Multiply.
- 29⋅41\frac{2}{9} \cdot 4192​⋅41

Accepted Answer

A)    829\frac{82}{9}982​ 
B)    2369\frac{2}{369}3692​ 
C)    439\frac{43}{9}943​ 
D)    82369\frac{82}{369}36982​E) A) and D)
F) All of the above

Question 13

Find another name for the given number, but with the denominator indicated.
- 159=?18\frac{15}{9}=\frac{?}{18}915​=18?​

Accepted Answer

A)    13518\frac{135}{18}18135​ 
B)    270162\frac{270}{162}162270​ 
C)    3018\frac{30}{18}1830​ 
D)    1518\frac{15}{18}1815​E) None of the above
F) B) and C)

Question 14

Find the average of the set of numbers.
- 16,28\frac{1}{6}, \frac{2}{8}61​,82​ , and  34\frac{3}{4}43​

Accepted Answer

A)    718\frac{7}{18}187​ 
B)    1161 \frac{1}{6}161​ 
C)    132\frac{1}{32}321​ 
D)    712\frac{7}{12}127​E) B) and C)
F) All of the above

Question 15

Estimate the value as a whole number or as a mixed numeral where the fractional part is  12\frac{1}{2}21​ .
- 17131417 \frac{13}{14}171413​

Accepted Answer

A)    171217 \frac{1}{2}1721​ 
B)   18
C)   17
D)    181218 \frac{1}{2}1821​E) None of the above
F) A) and B) B

Question 16

Estimate the value as a whole number or as a mixed numeral where the fractional part is  12\frac{1}{2}21​ .
- 472627÷8319947 \frac{26}{27} \div 8 \frac{3}{199}472726​÷81993​

Accepted Answer

A)    5125 \frac{1}{2}521​ 
B)   5
C)   6
D)    6126 \frac{1}{2}621​E) A) and B)
F) A) and C)

Question 17

Add. Write a mixed numeral for the answer.
- 414+8234 \frac{1}{4}+8 \frac{2}{3}441​+832​

Accepted Answer

A)    12111212 \frac{11}{12}121211​ 
B)    13111213 \frac{11}{12}131211​ 
C)    411124 \frac{11}{12}41211​ 
D)    11111211 \frac{11}{12}111211​E) B) and C)
F) None of the above

Question 18

What part of the object or set of objects is shaded?
-

Accepted Answer

A)    34\frac{3}{4}43​ 
B)    78\frac{7}{8}87​ 
C)    17\frac{1}{7}71​ 
D)    74\frac{7}{4}47​E) A) and D)
F) None of the above

Question 19

Solve. Write a mixed numeral for the answer.
-Mr. Meredith is building a table. The top will have a piece of marble  231223 \frac{1}{2}2321​  inches by 10 inches, bordered by  1141 \frac{1}{4}141​  inches of wood on all four sides. Give the overall dimensions of the table top.

Accepted Answer

A)    241224 \frac{1}{2}2421​  in. by  1112in11 \frac{1}{2} \mathrm{in}1121​in .
B)   26 in. by  121212 \frac{1}{2}1221​  in.
C)    261226 \frac{1}{2}2621​  in. by  1212in12 \frac{1}{2} \mathrm{in}1221​in .
D)   26 in. by 12 in. E) B) and D)
F) All of the above

Question 20

Solve.
-There are 70 students in Jose's class.  25\frac{2}{5}52​  of the students are science majors. How many students are science majors?

Accepted Answer

A)   140 students
B)   42 students
C)   28 students
D)   26 students E) None of the above
F) All of the above

Exam 2: Fraction Notation

Subtract and simplify. - 910−710\frac{9}{10}-\frac{7}{10}109​−107​

Correct AnswerverifiedShow Answer

Solve. -A worker has readings that take 23\frac{2}{3}32​ minute each to read and record. How many readings can be completed in 54 minutes?

Correct AnswerverifiedShow Answer

Solve and simplify. - 114+x=514\frac{1}{14}+x=\frac{5}{14}141​+x=145​

Correct AnswerverifiedA

Add and simplify. - 12+78+24\frac{1}{2}+\frac{7}{8}+\frac{2}{4}21​+87​+42​

Correct AnswerverifiedShow Answer

Simplify. - 23−16÷(45−12) \frac{2}{3}-\frac{1}{6} \div\left(\frac{4}{5}-\frac{1}{2}\right) 32​−61​÷(54​−21​)

Correct AnswerverifiedShow Answer

Multiply and simplify. - 132⋅213\frac{13}{2} \cdot \frac{2}{13}213​⋅132​

Correct AnswerverifiedShow Answer

Convert to a mixed numeral. - 607\frac{60}{7}760​

Correct AnswerverifiedC

Solve and simplify. - x+27=514x+\frac{2}{7}=\frac{5}{14}x+72​=145​

Correct AnswerverifiedShow Answer

Solve. Write a mixed numeral for the answer. -A square piece of paper has a side length of s=758s=7 \frac{5}{8}s=785​ inches. A square of side length 12⋅s\frac{1}{2} \cdot s21​⋅s is cut from one corner of the piece of paper. Find the area of the piece of paper that remains.

Correct AnswerverifiedShow Answer

Multiply and simplify. - 135⋅1514\frac{13}{5} \cdot \frac{15}{14}513​⋅1415​

Correct AnswerverifiedShow Answer

Divide. Write a mixed numeral for the answer. - 567÷4375 \frac{6}{7} \div 4 \frac{3}{7}576​÷473​

Correct AnswerverifiedShow Answer

Multiply. - 29⋅41\frac{2}{9} \cdot 4192​⋅41

Correct AnswerverifiedShow Answer

Find another name for the given number, but with the denominator indicated. - 159=?18\frac{15}{9}=\frac{?}{18}915​=18?​

Correct AnswerverifiedShow Answer

Find the average of the set of numbers. - 16,28\frac{1}{6}, \frac{2}{8}61​,82​ , and 34\frac{3}{4}43​

Correct AnswerverifiedShow Answer

Estimate the value as a whole number or as a mixed numeral where the fractional part is 12\frac{1}{2}21​ . - 17131417 \frac{13}{14}171413​

Correct AnswerverifiedB

Estimate the value as a whole number or as a mixed numeral where the fractional part is 12\frac{1}{2}21​ . - 472627÷8319947 \frac{26}{27} \div 8 \frac{3}{199}472726​÷81993​

Correct AnswerverifiedShow Answer

Add. Write a mixed numeral for the answer. - 414+8234 \frac{1}{4}+8 \frac{2}{3}441​+832​

Correct AnswerverifiedShow Answer

What part of the object or set of objects is shaded? -

Correct AnswerverifiedShow Answer

Solve. Write a mixed numeral for the answer. -Mr. Meredith is building a table. The top will have a piece of marble 231223 \frac{1}{2}2321​ inches by 10 inches, bordered by 1141 \frac{1}{4}141​ inches of wood on all four sides. Give the overall dimensions of the table top.

Correct AnswerverifiedShow Answer

Solve. -There are 70 students in Jose's class. 25\frac{2}{5}52​ of the students are science majors. How many students are science majors?

Correct AnswerverifiedShow Answer

Subtract and simplify. - $\frac{9}{10}-\frac{7}{10}$

Correct Answer
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Solve. -A worker has readings that take $\frac{2}{3}$ minute each to read and record. How many readings can be completed in 54 minutes?

Correct Answer
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Solve and simplify. - $\frac{1}{14}+x=\frac{5}{14}$

Correct Answer
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A

Add and simplify. - $\frac{1}{2}+\frac{7}{8}+\frac{2}{4}$

Correct Answer
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Simplify. - $\frac{2}{3}-\frac{1}{6} \div\left(\frac{4}{5}-\frac{1}{2}\right)$

Correct Answer
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Multiply and simplify. - $\frac{13}{2} \cdot \frac{2}{13}$

Correct Answer
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Convert to a mixed numeral. - $\frac{60}{7}$

Correct Answer
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C

Solve and simplify. - $x+\frac{2}{7}=\frac{5}{14}$

Correct Answer
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Solve. Write a mixed numeral for the answer. -A square piece of paper has a side length of $s=7 \frac{5}{8}$ inches. A square of side length $\frac{1}{2} \cdot s$ is cut from one corner of the piece of paper. Find the area of the piece of paper that remains.

Correct Answer
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Multiply and simplify. - $\frac{13}{5} \cdot \frac{15}{14}$

Correct Answer
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Divide. Write a mixed numeral for the answer. - $5 \frac{6}{7} \div 4 \frac{3}{7}$

Correct Answer
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Multiply. - $\frac{2}{9} \cdot 41$

Correct Answer
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Find another name for the given number, but with the denominator indicated. - $\frac{15}{9}=\frac{?}{18}$

Correct Answer
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Find the average of the set of numbers. - $\frac{1}{6}, \frac{2}{8}$ , and $\frac{3}{4}$

Correct Answer
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Estimate the value as a whole number or as a mixed numeral where the fractional part is $\frac{1}{2}$ . - $17 \frac{13}{14}$

Correct Answer
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B

Estimate the value as a whole number or as a mixed numeral where the fractional part is $\frac{1}{2}$ . - $47 \frac{26}{27} \div 8 \frac{3}{199}$

Correct Answer
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Add. Write a mixed numeral for the answer. - $4 \frac{1}{4}+8 \frac{2}{3}$

Correct Answer
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What part of the object or set of objects is shaded? - $What part of the object or set of objects is shaded? - A) \frac{3}{4} B) \frac{7}{8} C) \frac{1}{7} D) \frac{7}{4}$

Correct Answer
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Solve. Write a mixed numeral for the answer. -Mr. Meredith is building a table. The top will have a piece of marble $23 \frac{1}{2}$ inches by 10 inches, bordered by $1 \frac{1}{4}$ inches of wood on all four sides. Give the overall dimensions of the table top.

Correct Answer
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Solve. -There are 70 students in Jose's class. $\frac{2}{5}$ of the students are science majors. How many students are science majors?

Correct Answer
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