WGU D771 Quantitative Literacy
(MATH 101) — Full Exam with
verified answers and rationale
graded A+
Section 1: Arithmetic, Fractions, and Number Sense
(Questions 1–15)
1. What is the top number of a fraction called?
A) Denominator
B) Numerator
C) Divisor
D) Quotient
Answer: B) Numerator
Rationale: The numerator is the top part of a fraction and indicates how many parts
of the whole are being considered -3 .
2. What is the bottom number of a fraction called?
A) Numerator
B) Dividend
C) Denominator
D) Factor
Answer: C) Denominator
Rationale: The denominator is the bottom number and tells how many equal parts
the whole is divided into -3-11 .
3. How do you simplify a fraction?
A) Add the same number to numerator and denominator
B) Divide numerator and denominator by their greatest common factor
C) Multiply both by 2
D) Subtract the smaller from the larger
Answer: B) Divide numerator and denominator by their greatest common factor
Rationale: Simplifying means reducing a fraction to its lowest terms by dividing both
parts by the GCF -3 .
4. When adding or subtracting fractions, what must be the same?
A) Numerators
B) Denominators
,C) Whole numbers
D) Decimals
Answer: B) Denominators
Rationale: You must have a common denominator before adding or subtracting
fractions -3-5 .
5. When multiplying fractions, do the denominators need to be the same?
A) Yes
B) No
C) Only if the fractions are improper
D) Only if the fractions are mixed
Answer: B) No
Rationale: Multiplying fractions only requires multiplying numerators together and
denominators together; no common denominator is needed -3-5 .
6. What is a reciprocal?
A) The opposite of a number
B) The flipped version of a fraction
C) The square of a number
D) The sum of a fraction
Answer: B) The flipped version of a fraction
Rationale: A reciprocal is created by swapping the numerator and denominator (e.g.,
3/4 → 4/3) -5-14 .
7. How do you divide fractions?
A) Divide numerators and divide denominators
B) Multiply by the reciprocal of the divisor
C) Find a common denominator
D) Subtract the numerators
Answer: B) Multiply by the reciprocal of the divisor
Rationale: Dividing by a fraction is the same as multiplying by its reciprocal -5-14 .
8. Convert 2.4 to a mixed number.
A) 2 1/5
B) 2 2/5
C) 2 1/2
D) 2 3/5
Answer: B) 2 2/5
Rationale: 2.4 = 2 + 0.4 = 2 + 4/10 = 2 + 2/5 = 2 2/5 -4 .
9. What is 125% expressed as a decimal?
A) 0.125
B) 1.25
C) 12.5
D) 125
Answer: B) 1.25
Rationale: To convert a percent to a decimal, divide by 100: 125 ÷ 100 = 1.25 -4 .
, 10. What does percent mean?
A) Per thousand
B) Per hundred
C) Per ten
D) Per million
Answer: B) Per hundred
Rationale: Percent literally means "per hundred." A percent is a fraction with a
denominator of 100 -5-10 .
11. How do you convert a decimal to a percent?
A) Divide by 100
B) Multiply by 100
C) Add 100
D) Subtract 100
Answer: B) Multiply by 100
Rationale: Moving the decimal two places to the right converts a decimal to a
percent (0.25 → 25%) -5-14 .
12. How do you find 10% of a number quickly?
A) Divide by 10
B) Move the decimal one place to the left
C) Multiply by 10
D) Add a zero
Answer: B) Move the decimal one place to the left
Rationale: Finding 10% is equivalent to dividing by 10, which shifts the decimal one
place left -5-14 .
13. What is 25% of 200?
A) 25
B) 40
C) 50
D) 75
Answer: C) 50
Rationale: 200 × 0.25 = 50. Multiply the number by the decimal equivalent of the
percent -5 .
14. What is 30% of 150?
A) 30
B) 40
C) 45
D) 50
Answer: C) 45
Rationale: 0.30 × 150 = 45 -4 .
15. What is 15% of 2,400?
A) 240
B) 360
(MATH 101) — Full Exam with
verified answers and rationale
graded A+
Section 1: Arithmetic, Fractions, and Number Sense
(Questions 1–15)
1. What is the top number of a fraction called?
A) Denominator
B) Numerator
C) Divisor
D) Quotient
Answer: B) Numerator
Rationale: The numerator is the top part of a fraction and indicates how many parts
of the whole are being considered -3 .
2. What is the bottom number of a fraction called?
A) Numerator
B) Dividend
C) Denominator
D) Factor
Answer: C) Denominator
Rationale: The denominator is the bottom number and tells how many equal parts
the whole is divided into -3-11 .
3. How do you simplify a fraction?
A) Add the same number to numerator and denominator
B) Divide numerator and denominator by their greatest common factor
C) Multiply both by 2
D) Subtract the smaller from the larger
Answer: B) Divide numerator and denominator by their greatest common factor
Rationale: Simplifying means reducing a fraction to its lowest terms by dividing both
parts by the GCF -3 .
4. When adding or subtracting fractions, what must be the same?
A) Numerators
B) Denominators
,C) Whole numbers
D) Decimals
Answer: B) Denominators
Rationale: You must have a common denominator before adding or subtracting
fractions -3-5 .
5. When multiplying fractions, do the denominators need to be the same?
A) Yes
B) No
C) Only if the fractions are improper
D) Only if the fractions are mixed
Answer: B) No
Rationale: Multiplying fractions only requires multiplying numerators together and
denominators together; no common denominator is needed -3-5 .
6. What is a reciprocal?
A) The opposite of a number
B) The flipped version of a fraction
C) The square of a number
D) The sum of a fraction
Answer: B) The flipped version of a fraction
Rationale: A reciprocal is created by swapping the numerator and denominator (e.g.,
3/4 → 4/3) -5-14 .
7. How do you divide fractions?
A) Divide numerators and divide denominators
B) Multiply by the reciprocal of the divisor
C) Find a common denominator
D) Subtract the numerators
Answer: B) Multiply by the reciprocal of the divisor
Rationale: Dividing by a fraction is the same as multiplying by its reciprocal -5-14 .
8. Convert 2.4 to a mixed number.
A) 2 1/5
B) 2 2/5
C) 2 1/2
D) 2 3/5
Answer: B) 2 2/5
Rationale: 2.4 = 2 + 0.4 = 2 + 4/10 = 2 + 2/5 = 2 2/5 -4 .
9. What is 125% expressed as a decimal?
A) 0.125
B) 1.25
C) 12.5
D) 125
Answer: B) 1.25
Rationale: To convert a percent to a decimal, divide by 100: 125 ÷ 100 = 1.25 -4 .
, 10. What does percent mean?
A) Per thousand
B) Per hundred
C) Per ten
D) Per million
Answer: B) Per hundred
Rationale: Percent literally means "per hundred." A percent is a fraction with a
denominator of 100 -5-10 .
11. How do you convert a decimal to a percent?
A) Divide by 100
B) Multiply by 100
C) Add 100
D) Subtract 100
Answer: B) Multiply by 100
Rationale: Moving the decimal two places to the right converts a decimal to a
percent (0.25 → 25%) -5-14 .
12. How do you find 10% of a number quickly?
A) Divide by 10
B) Move the decimal one place to the left
C) Multiply by 10
D) Add a zero
Answer: B) Move the decimal one place to the left
Rationale: Finding 10% is equivalent to dividing by 10, which shifts the decimal one
place left -5-14 .
13. What is 25% of 200?
A) 25
B) 40
C) 50
D) 75
Answer: C) 50
Rationale: 200 × 0.25 = 50. Multiply the number by the decimal equivalent of the
percent -5 .
14. What is 30% of 150?
A) 30
B) 40
C) 45
D) 50
Answer: C) 45
Rationale: 0.30 × 150 = 45 -4 .
15. What is 15% of 2,400?
A) 240
B) 360
