Worksheet: Subtracting Fractions with Unlike Denominators

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.

  • A316 ft
  • B724 ft
  • C13 ft
  • D511 ft
  • E1124 ft

Q2:

Calculate 7946.

  • A13
  • B1318
  • C19
  • D1

Q3:

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

  • A716 gal
  • B38 gal
  • C18 gal
  • D116 gal
  • E158 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 𝑥𝑦, given that 𝑥=45 and 𝑦=34.

  • A11120
  • B38
  • C25
  • D120
  • E79

Q6:

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

  • A15
  • B15
  • C513
  • D135

Q7:

Calculate 781213 giving the answer in its simplest form.

  • A225
  • B148
  • C213
  • D124
  • E1724

Q8:

Use the order of operations to evaluate 2523+49, expressing the answer in its simplest form.

  • A845
  • B3245
  • C946
  • D1645
  • E16

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?

  • A2435 mi
  • B435 mi
  • C13 mi
  • D15 mi
  • E17 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.

  • A18 c
  • B13 c
  • C411 c
  • D512 c
  • E524 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?

  • A2312=16
  • B3423=27
  • C2312=15
  • D2312=17
  • E1213=16

Q13:

Evaluate 213112 giving the answer in its simplest form.

  • A16
  • B56
  • C56
  • D16
  • 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?

  • A541324 fl oz
  • B371924 fl oz
  • C101124 fl oz
  • D531324 fl oz
  • E1324 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 91113 giving the answer in its simplest form.

  • A9611
  • B1
  • C87
  • D1633
  • E833

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.

  • A113
  • B312
  • C5
  • D423
  • E12

Q19:

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

  • A4LE
  • B912LE
  • C812LE
  • D12LE

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