Worksheet: Subtracting Fractions with Unlike Denominators

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In this worksheet, we will practice subtracting two proper fractions with different denominators by finding common denominators and writing the answer in simplest form.

Q1:

A mirror’s length is 23 of a foot, and its width is 38 of a foot less than its length. Determine the width of the mirror in fraction form.

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

Q2:

Calculate 79−46.

  • A 1 3
  • B 1 3 1 8
  • C 1 9
  • D1

Q3:

How much more is 78of a gallon than 34of a gallon?

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

Q4:

Chloe walks 34 h to work on Route A and 23 h back to her house on Route B every day. Which route does she spend more time on and by how much?

  • ARoute B, 1512 h
  • BRoute B, 12 h
  • CRoute A, 213 h
  • DRoute A, 112 h
  • ERoute A, 124 h

Q5:

Evaluate 𝑥−𝑦, given that 𝑥=45 and 𝑦=34.

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

Q6:

Evaluate 𝑎−𝑏𝑎+𝑏 given 𝑎=32 and 𝑏=23. Give the answer in its simplest form.

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

Q7:

Calculate 78−12−13 giving the answer in its simplest form.

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

Q8:

Use the order of operations to evaluate 25−23+49, expressing the answer in its simplest form.

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

Q9:

A supermarket is 27 of a mile from Charlotte’s house and 25 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 2 4 3 5 mi
  • B 4 3 5 mi
  • C 1 3 mi
  • D 1 5 mi
  • E 1 7 mi

Q10:

A baby’s bottle can hold 23 of a cup of milk. In order to feed her baby, the mother filled the bottle to the top with 14 of a cup of milk. Determine how much milk was already inside the bottle.

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

Q11:

Mason lives 58 mi from the school, and Ethan lives 23 mi from it. Who lives closer to the school and by how much?

  • AEthan, 23 mi
  • BMason, 711 mi
  • CMason, 58 mi
  • DEthan, 124 mi
  • EMason, 124 mi

Q12:

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

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

Q13:

Evaluate 213−112 giving the answer in its simplest form.

  • A − 1 6
  • B 5 6
  • C − 5 6
  • D 1 6
  • E1

Q14:

Chloe drank 4523 fluid ounces of water on Monday, 5538 on Tuesday, and 4712 on Friday. How much more water did Chloe drink on Monday and Tuesday than on Friday?

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

Q15:

Liam and Elizabeth both started cycling along a track in the same direction. Liam cycled 25 of a mile and then stopped. Elizabeth cycled 45 of a mile and then turned around and cycled back along the path for 23 of a mile. Who is farther from the starting point? What is the distance between them?

  • AElizabeth, 11315 mi
  • BLiam, 415 mi
  • CLiam, 1115 mi
  • DLiam, 11315 mi
  • EElizabeth, 415 mi

Q16:

Evaluate 911−13 giving the answer in its simplest form.

  • A 9 6 1 1
  • B1
  • C 8 7
  • D 1 6 3 3
  • E 8 3 3

Q17:

Scarlett, Victoria, and Daniel agreed to meet at the park. Scarlett walked 12 mi, Victoria walked 13 mi, and Daniel walked 14 mi. Who was the farthest away and by how much?

  • ADaniel, 14 mi
  • BScarlett, 14 mi
  • CScarlett, 16 mi
  • DVictoria, 16 mi
  • EVictoria, 112 mi

Q18:

Subtract 13 from 5.

  • A 1 1 3
  • B 3 1 2
  • C5
  • D 4 2 3
  • E 1 2

Q19:

If Daniel had 9 LE and bought a ruler for 12LE, how much money does he have left?

  • A 4 L E
  • B 9 1 2 L E
  • C 8 1 2 L E
  • D 1 2 L E

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