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Reducing Fractions Worksheets - Math Monks - Free Printable

Reducing Fractions Worksheets - Math Monks

Educational worksheet: Reducing Fractions Worksheets - Math Monks. Download and print for classroom or home learning activities.

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Show Answer Key & Explanations Step-by-step solution for: Reducing Fractions Worksheets - Math Monks
Let’s go through each fraction one by one and reduce it to its simplest form. To reduce a fraction, we find the greatest common factor (GCF) of the numerator and denominator, then divide both by that number.

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Row 1:

- 24/52: GCF of 24 and 52 is 4 → 24÷4=6, 52÷4=13 → 6/13
- 27/72: GCF is 9 → 27÷9=3, 72÷9=8 → 3/8
- 56/84: GCF is 28 → 56÷28=2, 84÷28=3 → 2/3
- 48/96: GCF is 48 → 48÷48=1, 96÷48=2 → 1/2

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Row 2:

- 14/32: GCF is 2 → 14÷2=7, 32÷2=16 → 7/16
- 90/106: GCF is 2 → 90÷2=45, 106÷2=53 → 45/53
- 96/128: GCF is 32 → 96÷32=3, 128÷32=4 → 3/4
- 58/87: GCF is 29 → 58÷29=2, 87÷29=3 → 2/3

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Row 3:

- 45/50: GCF is 5 → 45÷5=9, 50÷5=10 → 9/10
- 39/78: GCF is 39 → 39÷39=1, 78÷39=2 → 1/2
- 54/63: GCF is 9 → 54÷9=6, 63÷9=7 → 6/7
- 56/72: GCF is 8 → 56÷8=7, 72÷8=9 → 7/9

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Row 4:

- 168/192: GCF is 24 → 168÷24=7, 192÷24=8 → 7/8
- 75/81: GCF is 3 → 75÷3=25, 81÷3=27 → 25/27
- 42/54: GCF is 6 → 42÷6=7, 54÷6=9 → 7/9
- 66/88: GCF is 22 → 66÷22=3, 88÷22=4 → 3/4

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Row 5:

- 128/132: GCF is 4 → 128÷4=32, 132÷4=33 → 32/33
- 25/60: GCF is 5 → 25÷5=5, 60÷5=12 → 5/12
- 120/144: GCF is 24 → 120÷24=5, 144÷24=6 → 5/6
- 64/80: GCF is 16 → 64÷16=4, 80÷16=5 → 4/5

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Row 6:

- 64/96: GCF is 32 → 64÷32=2, 96÷32=3 → 2/3
- 45/60: GCF is 15 → 45÷15=3, 60÷15=4 → 3/4
- 147/168: GCF is 21 → 147÷21=7, 168÷21=8 → 7/8
- 62/93: GCF is 31 → 62÷31=2, 93÷31=3 → 2/3

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Row 7:

- 27/99: GCF is 9 → 27÷9=3, 99÷9=11 → 3/11
- 39/52: GCF is 13 → 39÷13=3, 52÷13=4 → 3/4
- 42/88: GCF is 2 → 42÷2=21, 88÷2=44 → 21/44
- 64/72: GCF is 8 → 64÷8=8, 72÷8=9 → 8/9

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Final Answer:

6/13, 3/8, 2/3, 1/2
7/16, 45/53, 3/4, 2/3
9/10, 1/2, 6/7, 7/9
7/8, 25/27, 7/9, 3/4
32/33, 5/12, 5/6, 4/5
2/3, 3/4, 7/8, 2/3
3/11, 3/4, 21/44, 8/9
Parent Tip: Review the logic above to help your child master the concept of reducing fractions worksheet lowest terms.
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