Worksheet: Subtracting Fractions Whose Denominators Are Multiples of the Same Number

In this worksheet, we will practice subtracting a proper fraction from a proper fraction by using models and writing equivalent fractions over the same denominator.

Q1:

Calculate 2717.

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

Q2:

What number gives 59 when it is subtracted from 89?

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

Q3:

What is the difference between 6100 and 4100?

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

Q4:

To prepare her morning drink, Victoria mixed 110 of a cup of carrot juice with 910 of a cup of orange juice. How many more cups of orange juice than carrot juice did Victoria use?

  • A 4 5 c
  • B 2 5 c
  • C 9 2 0 c
  • D 1 2 0 c
  • E1 c

Q5:

In Mr. Daniel’s class, 1724 of the students finished their homework, whereas, in Mr. Jacob’s class, 1324 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 4
  • C 1 1 2
  • D 1 3 4 8
  • E 1 6

Q6:

Find two fractions that have a difference of 19 and denominator that are not 9.

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

Q7:

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 3 1 0 0 , 7 2 5
  • B 9 1 0 , 7 5 0
  • C 1 6 2 5 , 4 3 5 0
  • D 9 3 1 0 0 , 4 3 5 0
  • E 1 6 2 5 , 7 2 5

Q8:

How much longer is 47 of a foot than 17 of a foot?

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

Q9:

In a particular year, from January to March, Death Valley received a total of about 2125 of an inch of precipitation. From April to June, it received a total of about 625 of an inch. How much more precipitation occurred in January to March than in April to June?

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

Q10:

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

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

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

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

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

Q11:

What number gives 17 when 27 is subtracted from it?

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

Q12:

Complete the following: 47=37.

  • A 1 7
  • B 2 7
  • C 3 7
  • D0

Q13:

Hannah wants to calculate 351315 by first writing each fraction over the same denominator. Which of the following is the next step she should take?

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

Q14:

Calculate 4929.

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

Q15:

How much longer is 47 of a foot than 37 of a foot?

  • A 2 7 ft
  • B 1 7 ft
  • C1 ft
  • D 1 1 4 ft
  • E 3 1 4 ft

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