#### Solved Examples and Worksheet for Interpreting Fractions by Division of Whole Numbers

Q1A set contained 6 pens. If Joe selected 3 pens, then what fraction of the pens did he select?
A. 23
B. 13
C. 12
D. 34

Step: 1
Number of pens in the set = 6 pens.
Step: 2
Number of pens selected by Joe = 3.
Step: 3
Fraction of pens selected = 36
[Number of pens selectedTotal number of pens.]
Step: 4
36 = 12
[12 is the equivalent fraction of 36. Divide the numerator and the denominator by 3.]
Step: 5
The fraction of pens Joe selected = 12.
Q2In a class of 37 students, there are 18 boys and 19 girls. What fraction of the class are girls?
A. 1937
B. 119
C. 118
D. 137

Step: 1
Total number of students in a class = 37
Step: 2
Number of girls in the class = 19
Step: 3
Fraction of the class that is girls = Number of girls in the classTotal number of students.
Step: 4
= 1937
[Substitute the values.]
Step: 5
The fraction of girls in the class is 1937.
Q3There are 16 boys and 17 girls in a class of 33 students. What fraction of the class are the girls?
A. 1733
B. 116
C. 1633
D. 133

Step: 1
Total number of students in a class = 33.
Step: 2
Number of boys in the class = 16.
Step: 3
Number of girls in the class = 17.
Step: 4
Fraction of the class that is girls = Number of girls in the classTotal number of students
Step: 5
= 1733
[Substitute the values.]
Step: 6
The fraction of girls in the class is 1733.
Q4Ursula cut an apple into 2 equal parts and ate 1 of them. What fraction of the apple did she eat?

A. 23
B. 13
C. 12
D. 25

Step: 1
Number of parts the apple was cut into = 2.
Step: 2
Number of parts Ursula ate = 1.
Step: 3
Fraction of apple Ursula ate = Number of parts she ateTotal number of parts
= 12
Step: 4
Ursula ate 12of the whole apple.
Q5In a van there are 6 seats. 3 seats are occupied. Find the fraction of the seats that are occupied.

A. 36
B. 34
C. 18
D. 13

Step: 1
Number of seats in a van = 6
Step: 2
Number of seats occupied = 3
Step: 3
Fraction of seats occupied = 36
[Number of seats occupied ÷ total number of seats.]
Step: 4
36 is the fraction of seats occupied.
Q6Out of 8 cherries, Pip gave 5 to his friend. What fraction of the cherries did his friend get?
A. 58
B. 38
C. 0
D. 1

Step: 1
Total number of cherries = 8
Step: 2
Number of cherries Pip gave his friend = 5
Step: 3
Fraction of cherries that Pip's friend has = Number of cherries with Pip's friendTotal number of cherries
Step: 4
= 58
Q7Sam has 8 balls. All are red. What fraction of the balls is red ?

A. 12
B. 23
C. 1
D. 0

Step: 1
Fraction of balls in red color = Number of balls in red colorTotal number of balls
Step: 2
= 88
Step: 3
When numerator = denominator the value of the fraction = 1
Step: 4
So, 88= 1.
Q8There were 35 roses in Paula's rose garden. She plucked 30 of them. What fraction represents the ratio of roses Paula plucked to the number of roses in her garden?
A. 17
B. 76
C. 67
D. 613

Step: 1
Total number of roses in Paula's rose garden = 35.
Step: 2
Number of roses Paula has plucked = 30.
Step: 3
Ratio of roses Paula has plucked to the number of roses in her garden = number of roses she has plucked ÷ total number of roses
Step: 4
= 30 ÷ 35 = 3035
Step: 5
= 67
[Simplify.]
Q9What fraction of the word "SCHOOL" is a vowel?

A. 13
B. 23
C. 36
D. 16

Step: 1
There are 6 letters in the word "SCHOOL".
Step: 2
Out of them 2 are vowels (O, O).
Step: 3
So, the fraction that represents the vowels in the word "SCHOOL"= 26 = 13.
Q10Stephanie cuts an apple into 4 equal parts and ate 3 of them. What fraction of the apple did she eat?
A. 17
B. 47
C. 34

Step: 1
Number of parts the apple was cut into = 4.
Step: 2
Number of parts Stephanie ate = 3.
Step: 3
Fraction of apple Stephanie ate = Number of parts she ateTotal number of parts
= 34
Step: 4
Stephanie ate 34 part of the whole apple.