Worksheet: Subtracting Fractions with Unlike Denominators

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In this worksheet, we will practice subtracting fractions with unlike denominators.

Q1:

A mirror’s length is 2 3 of a foot, and its width is 3 8 of a foot less than its length. Determine the width of the mirror in fraction form.

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

Q2:

Calculate 7 9 − 4 6 .

  • A 1 3
  • B1
  • C 1 3 1 8
  • D 1 9

Q3:

How much more is 7 8 of a gallon than 3 4 of a gallon?

  • A 7 1 6 gal
  • B 1 1 6 gal
  • C 3 8 gal
  • D 1 8 gal
  • E 1 5 8 gal

Q4:

Samar walks 3 4 h to work on Route A and 2 3 h back to her house on Route B every day. Which route does she spend more time on and by how much?

  • ARoute A, 2 1 3 h
  • BRoute B, 1 5 1 2 h
  • CRoute B, 1 2 h
  • DRoute A, 1 1 2 h
  • ERoute A, 1 2 4 h

Q5:

Evaluate 𝑥 − 𝑦 , given that 𝑥 = 4 5 and 𝑦 = 3 4 .

  • A 2 5
  • B 7 9
  • C 3 8
  • D 1 2 0
  • E 1 1 1 2 0

Q6:

Evaluate 𝑎 − 𝑏 𝑎 + 𝑏 given 𝑎 = 3 2 and 𝑏 = 2 3 . Give the answer in its simplest form.

  • A 1 5
  • B 1 3 5
  • C − 1 5
  • D 5 1 3

Q7:

Calculate 7 8 − 1 2 − 1 3 giving the answer in its simplest form.

  • A 2 2 5
  • B 1 7 2 4
  • C 2 1 3
  • D 1 2 4
  • E 1 4 8

Q8:

Use the order of operations to evaluate 2 5 − 2 3 + 4 9 , expressing the answer in its simplest form.

  • A 9 4 6
  • B 1 6 4 5
  • C 1 6
  • D 8 4 5
  • E 3 2 4 5

Q9:

A supermarket is 2 7 of a mile from Charlotte’s house and 2 5 of a mile from Sophia’s house. How much farther is the supermarket from Sophia’s house than it is from Charlotte’s house?

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

Q10:

A baby’s bottle can hold 2 3 of a cup of milk. In order to feed her baby, the mother filled the bottle to the top with 1 4 of a cup of milk. Determine how much milk was already inside the bottle.

  • A 1 3 c
  • B 5 2 4 c
  • C 1 8 c
  • D 5 1 2 c
  • E 4 1 1 c

Q11:

Mason lives mi from the school, and Ethan lives mi from it. Who lives closer to the school and by how much?

  • AMason, mi
  • BEthan, mi
  • CEthan, mi
  • DMason, mi
  • EMason, mi

Q12:

Which of the following is a subtraction sentence representing the given figure?

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

Q13:

Evaluate 2 1 3 − 1 1 2 giving the answer in its simplest form.

  • A 1
  • B − 1 6
  • C − 5 6
  • D 5 6
  • E 1 6

Q14:

Samar drank 4 5 2 3 fluid ounces of water on Monday, 5 5 3 8 on Tuesday, and 4 7 1 2 on Friday. How much more water did Samar drink on Monday and Tuesday than on Friday?

  • A 1 0 1 1 2 4 fl oz
  • B 5 4 1 3 2 4 fl oz
  • C 1 3 2 4 fl oz
  • D 5 3 1 3 2 4 fl oz
  • E 3 7 1 9 2 4 fl oz

Q15:

Amir and Mona both started cycling along a track in the same direction. Amir cycled 2 5 of a mile and then stopped. Mona cycled 4 5 of a mile and then turned around and cycled back along the path for 2 3 of a mile. Who is farther from the starting point? What is the distance between them?

  • AAmir, 1 1 3 1 5 mi
  • BMona, 1 1 3 1 5 mi
  • CMona, 4 1 5 mi
  • DAmir, 4 1 5 mi
  • EAmir, 1 1 1 5 mi

Q16:

Evaluate 9 1 1 − 1 3 giving the answer in its simplest form.

  • A 8 7
  • B 8 3 3
  • C 1
  • D 1 6 3 3
  • E 9 6 1 1

Q17:

Farida, Yara, and Fares agreed to meet at the park. Farida walked 1 2 mi, Yara walked 1 3 mi, and Fares walked 1 4 mi. Who was the farthest away and by how much?

  • AYara, 1 1 2 mi
  • BFarida, 1 4 mi
  • CFares, 1 4 mi
  • DFarida, 1 6 mi
  • EYara, 1 6 mi

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