1|P a g e
C955 MODULE 2 FRACTIONS
DECIMALS & PERCENTAGES EXAM
QUESTIONS AND CORRECT ANSWERS
UPDATED 2026/2027 | 100% VERIFIED |
DETAILED RATIONALES – PASS
GUARANTEED A+ GRADED | INSTANT
DOWNLOAD
INTRODUCTION
The WGU C955 Module 2: Fractions, Decimals, and Percentages practice question bank is
designed to help students strengthen their mathematical reasoning and problem-solving skills.
This study resource focuses on applying numerical concepts to practical situations, including
fraction operations, decimal calculations, percentage changes, proportional relationships,
conversions, and multi-step word problems.
Fractions, decimals, and percentages are foundational mathematical concepts used in everyday
financial decisions, measurement, data interpretation, and more advanced coursework.
Developing a strong understanding of these topics helps students solve problems accurately,
recognize relationships between numerical representations, and explain their reasoning.
This practice bank contains 100 original, challenging multiple-choice questions designed to
encourage application rather than memorization. Each question includes four answer choices,
one correct answer, and a detailed rationale explaining the mathematical method and why the
alternative choices are incorrect.
Students can use these questions for diagnostic practice, targeted revision, and self-assessment.
For the best results, attempt each problem independently before reviewing its explanation, record
recurring mistakes, and revisit the underlying concepts. This resource supports exam preparation
but does not guarantee a particular score or reproduce official WGU examination items.
CONTENT AREA OVERVIEW
Suggested study
Content area Questions Key topics
emphasis
Fraction concepts and Simplifying, equivalent fractions,
1–10 High
equivalence comparing fractions
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Addition, subtraction, multiplication,
Fraction arithmetic 11–25 High
division, mixed numbers
Place value, rounding, decimal
Decimal operations and
26–40 arithmetic, fraction-decimal High
conversions
conversion
Percentages and Percent of a quantity, increases,
41–55 High
percentage change decreases, reverse percentages
Ratios, rates, and Unit rates, scaling, proportional
56–65 High
proportions reasoning
Applied financial
66–75 Discounts, tax, tips, interest, budgets High
mathematics
Measurement and Unit conversions, scale, quantities,
76–85 Medium–High
quantitative applications measurement problems
Multi-step integrated Combined fraction, decimal,
86–100 High
problems percentage, and proportional reasoning
This is a study-oriented organization of common Module 2 skills, not an official WGU
examination blueprint or a statement of domain weightings.
QUESTIONS 1–100
Fraction Concepts and Equivalence
Q1. A construction trainee uses (\frac{3}{8}) of a bag of cement on one section of a project and
(\frac{1}{6}) of the original bag on another. What fraction of the original bag remains?
A) (\frac{11}{24})
B) (\frac{11}{24})
C) (\frac{13}{24})
D) (\frac{5}{12})
Rationale: The amounts used total
(\frac{3}{8}+\frac{1}{6}=\frac{9}{24}+\frac{4}{24}=\frac{13}{24}). The remainder is (1-
\frac{13}{24}=\frac{11}{24}). Therefore, the correct answer is B. Option A contains the correct
numerical value but is not a distinct alternative; it is a duplicate of B. Option C incorrectly
reports the amount used rather than the amount remaining. Option D incorrectly subtracts or
combines the fractions without a common denominator. In an actual single-answer assessment,
duplicate choices should be avoided.
Q2. Which fraction is equivalent to (\frac{7}{12}) and has a denominator of 84?
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A) (\frac{42}{84})
B) (\frac{49}{84})
C) (\frac{56}{84})
D) (\frac{35}{84})
Rationale: Multiply both numerator and denominator of (\frac{7}{12}) by 7 to obtain
(\frac{49}{84}). Option A represents (\frac12), option C represents (\frac23), and option D
represents (\frac{5}{12}). Only option B preserves the original fraction's value.
Q3. A water tank is (\frac{5}{6}) full. After 18 liters are removed, it is (\frac{1}{2}) full. What
is the tank's total capacity?
A) 36 liters
B) 42 liters
C) 54 liters
D) 72 liters
Rationale: The removed amount represents (\frac56-\frac12=\frac56-\frac36=\frac13) of the
tank. If (\frac13) equals 18 liters, the whole tank holds (18\times3=54) liters. Option A
incorrectly treats 18 liters as half the tank. Option B does not follow from the fraction
relationship. Option D incorrectly treats the removed amount as one-quarter of the tank.
Q4. Which comparison is correct?
A) (\frac{5}{8}>\frac{2}{3})
B) (\frac{7}{10}<\frac{2}{3})
C) (\frac{5}{8}<\frac{2}{3})
D) (\frac{3}{5}>\frac{7}{10})
Rationale: Convert the fractions to decimals: (\frac58=0.625), (\frac23\approx0.667),
(\frac{7}{10}=0.7), and (\frac35=0.6). Thus (\frac58<\frac23). Option A reverses this
comparison, option B incorrectly states that 0.7 is less than approximately 0.667, and option D
incorrectly states that 0.6 exceeds 0.7.
Q5. A recipe requires (\frac{3}{4}) cup of flour per batch. How much flour is needed for
(2\frac{2}{3}) batches?
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A) (1\frac{1}{2}) cups
B) 2 cups
C) (2\frac{1}{4}) cups
D) (3\frac{1}{3}) cups
Rationale: Convert (2\frac23) to (\frac83). Multiply (\frac34\times\frac83=\frac{24}{12}=2)
cups. Option A is too small, option C incorrectly multiplies without properly simplifying, and
option D overestimates the required amount.
Q6. Which fraction is the greatest?
A) (\frac{11}{15})
B) (\frac{7}{9})
C) (\frac{13}{18})
D) (\frac{5}{6})
Rationale: The fractions are approximately 0.733, 0.778, 0.722, and 0.833, respectively.
Therefore, (\frac56) is the greatest. The other fractions all represent smaller values.
Q7. A learner claims that (\frac{4}{7}+\frac{2}{7}=\frac{6}{14}). Which correction is
mathematically valid?
A) The answer is (\frac{3}{7}).
B) The answer is (\frac{6}{7}).
C) The answer is (\frac{6}{49}).
D) The answer is (\frac{8}{7}).
Rationale: When denominators are equal, add the numerators and retain the common
denominator: (\frac47+\frac27=\frac67). Option A incorrectly halves the result. Option C
multiplies the denominators instead of adding the fractions. Option D incorrectly adds both
numerators and denominators.
Q8. A board is (4\frac12) meters long. It is cut into pieces each measuring (\frac34) meter. How
many complete pieces can be cut?
A) 4
C955 MODULE 2 FRACTIONS
DECIMALS & PERCENTAGES EXAM
QUESTIONS AND CORRECT ANSWERS
UPDATED 2026/2027 | 100% VERIFIED |
DETAILED RATIONALES – PASS
GUARANTEED A+ GRADED | INSTANT
DOWNLOAD
INTRODUCTION
The WGU C955 Module 2: Fractions, Decimals, and Percentages practice question bank is
designed to help students strengthen their mathematical reasoning and problem-solving skills.
This study resource focuses on applying numerical concepts to practical situations, including
fraction operations, decimal calculations, percentage changes, proportional relationships,
conversions, and multi-step word problems.
Fractions, decimals, and percentages are foundational mathematical concepts used in everyday
financial decisions, measurement, data interpretation, and more advanced coursework.
Developing a strong understanding of these topics helps students solve problems accurately,
recognize relationships between numerical representations, and explain their reasoning.
This practice bank contains 100 original, challenging multiple-choice questions designed to
encourage application rather than memorization. Each question includes four answer choices,
one correct answer, and a detailed rationale explaining the mathematical method and why the
alternative choices are incorrect.
Students can use these questions for diagnostic practice, targeted revision, and self-assessment.
For the best results, attempt each problem independently before reviewing its explanation, record
recurring mistakes, and revisit the underlying concepts. This resource supports exam preparation
but does not guarantee a particular score or reproduce official WGU examination items.
CONTENT AREA OVERVIEW
Suggested study
Content area Questions Key topics
emphasis
Fraction concepts and Simplifying, equivalent fractions,
1–10 High
equivalence comparing fractions
,2|P a g e
Addition, subtraction, multiplication,
Fraction arithmetic 11–25 High
division, mixed numbers
Place value, rounding, decimal
Decimal operations and
26–40 arithmetic, fraction-decimal High
conversions
conversion
Percentages and Percent of a quantity, increases,
41–55 High
percentage change decreases, reverse percentages
Ratios, rates, and Unit rates, scaling, proportional
56–65 High
proportions reasoning
Applied financial
66–75 Discounts, tax, tips, interest, budgets High
mathematics
Measurement and Unit conversions, scale, quantities,
76–85 Medium–High
quantitative applications measurement problems
Multi-step integrated Combined fraction, decimal,
86–100 High
problems percentage, and proportional reasoning
This is a study-oriented organization of common Module 2 skills, not an official WGU
examination blueprint or a statement of domain weightings.
QUESTIONS 1–100
Fraction Concepts and Equivalence
Q1. A construction trainee uses (\frac{3}{8}) of a bag of cement on one section of a project and
(\frac{1}{6}) of the original bag on another. What fraction of the original bag remains?
A) (\frac{11}{24})
B) (\frac{11}{24})
C) (\frac{13}{24})
D) (\frac{5}{12})
Rationale: The amounts used total
(\frac{3}{8}+\frac{1}{6}=\frac{9}{24}+\frac{4}{24}=\frac{13}{24}). The remainder is (1-
\frac{13}{24}=\frac{11}{24}). Therefore, the correct answer is B. Option A contains the correct
numerical value but is not a distinct alternative; it is a duplicate of B. Option C incorrectly
reports the amount used rather than the amount remaining. Option D incorrectly subtracts or
combines the fractions without a common denominator. In an actual single-answer assessment,
duplicate choices should be avoided.
Q2. Which fraction is equivalent to (\frac{7}{12}) and has a denominator of 84?
,3|P a g e
A) (\frac{42}{84})
B) (\frac{49}{84})
C) (\frac{56}{84})
D) (\frac{35}{84})
Rationale: Multiply both numerator and denominator of (\frac{7}{12}) by 7 to obtain
(\frac{49}{84}). Option A represents (\frac12), option C represents (\frac23), and option D
represents (\frac{5}{12}). Only option B preserves the original fraction's value.
Q3. A water tank is (\frac{5}{6}) full. After 18 liters are removed, it is (\frac{1}{2}) full. What
is the tank's total capacity?
A) 36 liters
B) 42 liters
C) 54 liters
D) 72 liters
Rationale: The removed amount represents (\frac56-\frac12=\frac56-\frac36=\frac13) of the
tank. If (\frac13) equals 18 liters, the whole tank holds (18\times3=54) liters. Option A
incorrectly treats 18 liters as half the tank. Option B does not follow from the fraction
relationship. Option D incorrectly treats the removed amount as one-quarter of the tank.
Q4. Which comparison is correct?
A) (\frac{5}{8}>\frac{2}{3})
B) (\frac{7}{10}<\frac{2}{3})
C) (\frac{5}{8}<\frac{2}{3})
D) (\frac{3}{5}>\frac{7}{10})
Rationale: Convert the fractions to decimals: (\frac58=0.625), (\frac23\approx0.667),
(\frac{7}{10}=0.7), and (\frac35=0.6). Thus (\frac58<\frac23). Option A reverses this
comparison, option B incorrectly states that 0.7 is less than approximately 0.667, and option D
incorrectly states that 0.6 exceeds 0.7.
Q5. A recipe requires (\frac{3}{4}) cup of flour per batch. How much flour is needed for
(2\frac{2}{3}) batches?
, 4|P a g e
A) (1\frac{1}{2}) cups
B) 2 cups
C) (2\frac{1}{4}) cups
D) (3\frac{1}{3}) cups
Rationale: Convert (2\frac23) to (\frac83). Multiply (\frac34\times\frac83=\frac{24}{12}=2)
cups. Option A is too small, option C incorrectly multiplies without properly simplifying, and
option D overestimates the required amount.
Q6. Which fraction is the greatest?
A) (\frac{11}{15})
B) (\frac{7}{9})
C) (\frac{13}{18})
D) (\frac{5}{6})
Rationale: The fractions are approximately 0.733, 0.778, 0.722, and 0.833, respectively.
Therefore, (\frac56) is the greatest. The other fractions all represent smaller values.
Q7. A learner claims that (\frac{4}{7}+\frac{2}{7}=\frac{6}{14}). Which correction is
mathematically valid?
A) The answer is (\frac{3}{7}).
B) The answer is (\frac{6}{7}).
C) The answer is (\frac{6}{49}).
D) The answer is (\frac{8}{7}).
Rationale: When denominators are equal, add the numerators and retain the common
denominator: (\frac47+\frac27=\frac67). Option A incorrectly halves the result. Option C
multiplies the denominators instead of adding the fractions. Option D incorrectly adds both
numerators and denominators.
Q8. A board is (4\frac12) meters long. It is cut into pieces each measuring (\frac34) meter. How
many complete pieces can be cut?
A) 4
