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This module is from Fundamentals of Mathematics by Denny Burzynski and Wade Ellis, Jr. This module is a proficiency exam to the chapter "Introduction to Fractions and Multiplication and Division of Fractions." Each problem is accompanied with a reference link pointing back to the module that discusses the type of problem demonstrated in the question. The problems in this exam are accompanied by solutions.

Proficiency exam

( [link] ) Shade a portion that corresponds to the fraction 5 8 size 12{ { {5} over {8} } } {} .
A rectangle divided into eight parts.

A rectangle divided into eight parts. Five parts are shaded.

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( [link] ) Specify the numerator and denominator of the fraction 5 9 size 12{ { {5} over {9} } } {} .

Numerator, 5; denominator, 9

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( [link] ) Write the fraction five elevenths.

5 11 size 12{ { {5} over {"11"} } } {}

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( [link] ) Write, in words, 4 5 size 12{ { {4} over {5} } } {} .

Four fifths

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( [link] ) Which of the fractions is a proper fraction? 4 1 12 size 12{4 { {1} over {"12"} } } {} , 5 12 size 12{ { {5} over {"12"} } } {} , 12 5 size 12{ { {"12"} over {5} } } {}

5 12 size 12{ { {5} over {"12"} } } {}

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( [link] ) Convert 3 4 7 size 12{3 { {4} over {7} } } {} to an improper fraction.

25 7 size 12{ { {"25"} over {7} } } {}

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( [link] ) Convert 16 5 size 12{ { {"16"} over {5} } } {} to a mixed number.

3 1 5 size 12{3 { {1} over {5} } } {}

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( [link] ) Determine if 5 12 size 12{ { {5} over {"12"} } } {} and 20 48 size 12{ { {"20"} over {"48"} } } {} are equivalent fractions.

yes

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For problems 9-11, reduce, if possible, each fraction to lowest terms.

( [link] ) 21 35 size 12{ { {"21"} over {"35"} } } {}

3 5 size 12{ { {3} over {5} } } {}

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( [link] ) 15 51 size 12{ { {"15"} over {"51"} } } {}

5 17 size 12{ { {5} over {"17"} } } {}

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( [link] ) 104 480 size 12{ { {"104"} over {"480"} } } {}

13 60 size 12{ { {"13"} over {"60"} } } {}

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For problems 12 and 13, determine the missing numerator or denominator.

( [link] ) 5 9 = ? 36 size 12{ { {5} over {9} } = { {?} over {"36"} } } {}

20

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( [link] ) 4 3 = 32 ? size 12{ { {4} over {3} } = { {"32"} over {?} } } {}

24

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For problems 14-25, find each value.

( [link] ) 15 16 4 25 size 12{ { {"15"} over {"16"} } cdot { {4} over {"25"} } } {}

3 20 size 12{ { {3} over {"20"} } } {}

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( [link] ) 3 3 4 2 2 9 6 3 5 size 12{3 { {3} over {4} } cdot 2 { {2} over {9} } cdot 6 { {3} over {5} } } {}

55

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( [link] ) 25 36 size 12{ sqrt { { {"25"} over {"36"} } } } {}

5 6 size 12{ { {5} over {6} } } {}

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( [link] ) 4 9 81 64 size 12{ sqrt { { {4} over {9} } } cdot sqrt { { {"81"} over {"64"} } } } {}

3 4 size 12{ { {3} over {4} } } {}

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( [link] ) 11 30 225 121 size 12{ { {"11"} over {"30"} } cdot sqrt { { {"225"} over {"121"} } } } {}

1 2 size 12{ { {1} over {2} } } {}

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( [link] ) 4 15 ÷ 8 size 12{ { {4} over {"15"} } div 8} {}

1 30 size 12{ { {1} over {"30"} } } {}

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( [link] ) 8 15 5 12 ÷ 2 4 9 size 12{ { {8} over {"15"} } cdot { {5} over {"12"} } div 2 { {4} over {9} } } {}

1 11 size 12{ { {1} over {"11"} } } {}

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( [link] ) 6 5 3 ÷ 1 11 25 size 12{ left ( { {6} over {5} } right ) rSup { size 8{3} } div sqrt {1 { {"11"} over {"25"} } } } {}

36 25 = 1 11 25 size 12{ { {"36"} over {"25"} } =1 { {"11"} over {"25"} } } {}

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( [link] ) Find 5 12 size 12{ { {5} over {"12"} } } {} of 24 25 size 12{ { {"24"} over {"25"} } } {} .

2 5 size 12{ { {2} over {5} } } {}

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( [link] ) 2 9 size 12{ { {2} over {9} } } {} of what number is 1 18 size 12{ { {1} over {"18"} } } {} ?

1 4 size 12{ { {1} over {4} } } {}

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( [link] ) 1 5 7 size 12{1 { {5} over {7} } } {} of 21 20 size 12{ { {"21"} over {"20"} } } {} is what number?

9 5 = 1 4 5 size 12{ { {9} over {5} } =1 { {4} over {5} } } {}

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( [link] ) What part of 9 14 size 12{ { {9} over {"14"} } } {} is 6 7 size 12{ { {6} over {7} } } {} ?

4 3 or 1 1 3 size 12{ { {4} over {3} } `"or "1 { {1} over {3} } } {}

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Questions & Answers

calculate molarity of NaOH solution when 25.0ml of NaOH titrated with 27.2ml of 0.2m H2SO4
Gasin Reply
what's Thermochemistry
rhoda Reply
the study of the heat energy which is associated with chemical reactions
Kaddija
How was CH4 and o2 was able to produce (Co2)and (H2o
Edafe Reply
explain please
Victory
First twenty elements with their valences
Martine Reply
what is chemistry
asue Reply
what is atom
asue
what is the best way to define periodic table for jamb
Damilola Reply
what is the change of matter from one state to another
Elijah Reply
what is isolation of organic compounds
IKyernum Reply
what is atomic radius
ThankGod Reply
Read Chapter 6, section 5
Dr
Read Chapter 6, section 5
Kareem
Atomic radius is the radius of the atom and is also called the orbital radius
Kareem
atomic radius is the distance between the nucleus of an atom and its valence shell
Amos
Read Chapter 6, section 5
paulino
Bohr's model of the theory atom
Ayom Reply
is there a question?
Dr
when a gas is compressed why it becomes hot?
ATOMIC
It has no oxygen then
Goldyei
read the chapter on thermochemistry...the sections on "PV" work and the First Law of Thermodynamics should help..
Dr
Which element react with water
Mukthar Reply
Mgo
Ibeh
an increase in the pressure of a gas results in the decrease of its
Valentina Reply
definition of the periodic table
Cosmos Reply
What is the lkenes
Da Reply
what were atoms composed of?
Moses Reply
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Source:  OpenStax, Fundamentals of mathematics. OpenStax CNX. Aug 18, 2010 Download for free at http://cnx.org/content/col10615/1.4
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