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Worksheet: Subtracting Fractions with Common Denominators

Q1:

Calculate 2 7 1 7 .

  • A 3 1 4
  • B 3 7
  • C 1 1 4
  • D 1 7

Q2:

Calculate 7 1 5 2 1 5 .

  • A 3 1 0
  • B 3 5
  • C 1 6
  • D 1 3

Q3:

How much longer is 4 7 of a foot than 1 7 of a foot?

  • A 2 7 ft
  • B 3 1 4 ft
  • C 1 1 4 ft
  • D 3 7 ft
  • E 5 7 ft

Q4:

What number gives 5 9 when it is subtracted from 8 9 ?

  • A 2 9
  • B 4 9
  • C 1 3 9
  • D 1 3

Q5:

How much longer is 5 8 of a foot than 1 8 of a foot?

  • A 5 1 6 ft
  • B 1 4 ft
  • C 1 1 6 ft
  • D 1 2 ft
  • E 3 4 ft

Q6:

What is the difference between 6 1 0 0 and 4 1 0 0 ?

  • A 1 2 5
  • B 3 5 0
  • C 1 1 0 0
  • D 1 5 0
  • E 1 1 0

Q7:

To prepare her morning drink, Victoria mixed 1 1 0 of a cup of carrot juice with 9 1 0 of a cup of orange juice. How many more cups of orange juice than carrot juice did Victoria use?

  • A 1 2 0 c
  • B 2 5 c
  • C 9 2 0 c
  • D 4 5 c
  • E 1 c

Q8:

In Mr. Daniel’s class, 1 7 2 4 of the students finished their homework, whereas, in Mr. Jacob’s class, 1 3 2 4 of the students finished their homework. How many more of the students finished their homework in Mr. Daniel’s class than Mr. Jacob’s?

  • A 1 7 4 8
  • B 1 1 2
  • C 1 3 4 8
  • D 1 6
  • E 1 1 4

Q9:

In a particular year, from January to March, Death Valley received a total of about 2 1 2 5 of an inch of precipitation. From April to June, it received a total of about 6 2 5 of an inch. How much more precipitation occurred in January to March than in April to June?

  • A 2 5 in
  • B 1 2 2 5 in
  • C 1 5 in
  • D 3 5 in
  • E 1 3 2 5 in

Q10:

Find two fractions that have a difference of 1 9 and denominator that are not 9.

  • A 1 2 2 7 , 8 2 7
  • B 2 1 8 , 1 1 8
  • C 2 1 0 , 1 1 0
  • D 1 1 2 7 , 8 2 7
  • E 1 2 2 9 , 1 0 2 9

Q11:

At a school, a group of students signed up for different classes. Using the table, determine the fraction of students that signed up for art, music, and wood working and the difference between that fraction and the fraction of students that signed up for philosophy.

Art Music Philosophy Wood Working
1 0 1 0 0 4 7 1 0 0 7 1 0 0 3 6 1 0 0
  • A 9 1 0 , 7 5 0
  • B 1 6 2 5 , 7 2 5
  • C 9 3 1 0 0 , 7 2 5
  • D 9 3 1 0 0 , 4 3 5 0
  • E 1 6 2 5 , 4 3 5 0

Q12:

The pie chart shows the favourite sports of students in Brown Middle School.

What fraction of students chose either basketball, baseball, or football as their favourite sport?

  • A 2 3
  • B 5 6
  • C 7 1 2
  • D 3 4
  • E 5 1 2

What is the difference between the fraction of students who did not choose soccer as their favourite sport and the fraction of students who did choose soccer?

  • A 1 2
  • B 1 6
  • C 1 3
  • D 2 3
  • E 1 6

Q13:

What number gives 1 7 when 2 7 is subtracted from it?

  • A 2 7
  • B 4 7
  • C 1 7
  • D 3 7

Q14:

Complete the following: 4 7 = 3 7 .

  • A 3 7
  • B 2 7
  • C0
  • D 1 7

Q15:

Hannah wants to calculate 3 5 1 3 1 5 by first writing each fraction over the same denominator. Which of the following is the next step she should take?

  • A 3 5 × 7 7 1 3 1 5 × 8 8
  • B 3 5 × 5 5 1 3 1 5 × 1 5 1 5
  • C 3 5 × 8 8 1 3 1 5 × 7 7
  • D 3 5 × 1 5 1 5 1 3 1 5 × 5 5
  • E 3 5 × 1 5 1 5 1 3 1 5 × 8 8