Fraction subtraction worksheet for simplifying to lowest terms.

We are given 10 subtraction problems involving fractions. The goal is to simplify each expression to its lowest terms.

This means:
- Find a common denominator for all fractions in the problem.
- Convert each fraction to an equivalent fraction with that common denominator.
- Subtract the numerators.
- Simplify the resulting fraction (reduce to lowest terms).

Let’s solve each one step by step.

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Problem 1:

> 23/24 - 1/4 - 2/12

Step 1: Find LCD of 24, 4, and 12.
→ LCD = 24

Step 2: Convert fractions:
- 23/24 → stays 23/24
- 1/4 = 6/24
- 2/12 = 4/24

Step 3: Subtract:
23/24 - 6/24 - 4/24 = (23 - 6 - 4)/24 = 13/24

✔ Already in lowest terms.

Answer: 13/24

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Problem 2:

> 53/54 - 4/6 - 1/27

Step 1: LCD of 54, 6, 27 → 54

Step 2: Convert:
- 53/54 → stays
- 4/6 = 36/54
- 1/27 = 2/54

Step 3: Subtract:
53/54 - 36/54 - 2/54 = (53 - 36 - 2)/54 = 15/54

Step 4: Simplify:
Divide numerator and denominator by 3 → 5/18

✔ Lowest terms.

Answer: 5/18

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Problem 3:

> 30/32 - 2/4 - 1/16

Step 1: LCD of 32, 4, 16 → 32

Step 2: Convert:
- 30/32 → stays
- 2/4 = 16/32
- 1/16 = 2/32

Step 3: Subtract:
30/32 - 16/32 - 2/32 = (30 - 16 - 2)/32 = 12/32

Step 4: Simplify:
Divide by 4 → 3/8

✔ Lowest terms.

Answer: 3/8

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Problem 4:

> 23/24 - 1/3 - 2/12

Step 1: LCD of 24, 3, 12 → 24

Step 2: Convert:
- 23/24 → stays
- 1/3 = 8/24
- 2/12 = 4/24

Step 3: Subtract:
23/24 - 8/24 - 4/24 = (23 - 8 - 4)/24 = 11/24

✔ Already simplified.

Answer: 11/24

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Problem 5:

> 16/18 - 4/6 - 1/9

Step 1: LCD of 18, 6, 9 → 18

Step 2: Convert:
- 16/18 → stays
- 4/6 = 12/18
- 1/9 = 2/18

Step 3: Subtract:
16/18 - 12/18 - 2/18 = (16 - 12 - 2)/18 = 2/18

Step 4: Simplify:
Divide by 2 → 1/9

✔ Lowest terms.

Answer: 1/9

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Problem 6:

> 43/45 - 3/5 - 1/15

Step 1: LCD of 45, 5, 15 → 45

Step 2: Convert:
- 43/45 → stays
- 3/5 = 27/45
- 1/15 = 3/45

Step 3: Subtract:
43/45 - 27/45 - 3/45 = (43 - 27 - 3)/45 = 13/45

✔ Already simplified.

Answer: 13/45

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Problem 7:

> 49/50 - 5/10 - 2/25

Step 1: LCD of 50, 10, 25 → 50

Step 2: Convert:
- 49/50 → stays
- 5/10 = 25/50
- 2/25 = 4/50

Step 3: Subtract:
49/50 - 25/50 - 4/50 = (49 - 25 - 4)/50 = 20/50

Step 4: Simplify:
Divide by 10 → 2/5

✔ Lowest terms.

Answer: 2/5

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Problem 8:

> 30/32 - 2/4 - 2/16

Step 1: LCD of 32, 4, 16 → 32

Step 2: Convert:
- 30/32 → stays
- 2/4 = 16/32
- 2/16 = 4/32

Step 3: Subtract:
30/32 - 16/32 - 4/32 = (30 - 16 - 4)/32 = 10/32

Step 4: Simplify:
Divide by 2 → 5/16

✔ Lowest terms.

Answer: 5/16

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Problem 9:

> 55/56 - 11/14 - 1/28

Step 1: LCD of 56, 14, 28 → 56

Step 2: Convert:
- 55/56 → stays
- 11/14 = 44/56
- 1/28 = 2/56

Step 3: Subtract:
55/56 - 44/56 - 2/56 = (55 - 44 - 2)/56 = 9/56

✔ Already simplified.

Answer: 9/56

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Problem 10:

> 58/60 - 4/20 - 2/30

Step 1: LCD of 60, 20, 30 → 60

Step 2: Convert:
- 58/60 → stays
- 4/20 = 12/60
- 2/30 = 4/60

Step 3: Subtract:
58/60 - 12/60 - 4/60 = (58 - 12 - 4)/60 = 42/60

Step 4: Simplify:
Divide by 6 → 7/10

✔ Lowest terms.

Answer: 7/10

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## ✔ Final Answers:

1) 13/24
2) 5/18
3) 3/8
4) 11/24
5) 1/9
6) 13/45
7) 2/5
8) 5/16
9) 9/56
10) 7/10

You can now fill these into your worksheet! Let me know if you want them boxed or formatted for printing.