You're given five
unit fractions (fractions with numerator 1):
>
1/11, 1/8, 1/5, 1/4, 1/3
And you’re asked to order them from
least to greatest, as shown on the number line.
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🔍 Key Concept: Ordering Unit Fractions
When comparing
unit fractions (fractions like 1/n), the
larger the denominator, the
smaller the fraction.
Why? Because you’re dividing 1 into more pieces — each piece gets smaller.
✔ Example:
- 1/2 = 0.5
- 1/4 = 0.25 → smaller than 1/2
- 1/10 = 0.1 → even smaller
So,
as the denominator increases, the value decreases.
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📊 Apply to Your Fractions:
List of denominators:
11, 8, 5, 4, 3
Order denominators from
largest to smallest → gives fractions from
smallest to largest:
- Largest denominator → smallest fraction:
1/11
- Then:
1/8
- Then:
1/5
- Then:
1/4
- Smallest denominator → largest fraction:
1/3
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✔ Final Answer (Least to Greatest):
>
1/11 < 1/8 < 1/5 < 1/4 < 1/3
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📌 Visual Check (if you convert to decimals):
- 1/11 ≈ 0.0909
- 1/8 = 0.125
- 1/5 = 0.2
- 1/4 = 0.25
- 1/3 ≈ 0.333...
This confirms the order:
0.0909 → 0.125 → 0.2 → 0.25 → 0.333...
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✔ So, the correct ordering from
Least to Greatest is:
>
1/11, 1/8, 1/5, 1/4, 1/3
You can now place them on the number line in that order!
Parent Tip: Review the logic above to help your child master the concept of order fractions from least to greatest worksheet.
