Let's solve each fraction comparison step by step using the symbols
<, >, or =.
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1. $\frac{6}{3} \ \square \ \frac{1}{9}$
- Simplify $\frac{6}{3} = 2$
- Compare $2$ and $\frac{1}{9}$: clearly, $2 > \frac{1}{9}$
-
✔ Answer:
>
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2. $\frac{4}{9} \ \square \ \frac{5}{8}$
- Find a common denominator: LCM of 9 and 8 is 72
- Convert:
- $\frac{4}{9} = \frac{4 \times 8}{9 \times 8} = \frac{32}{72}$
- $\frac{5}{8} = \frac{5 \times 9}{8 \times 9} = \frac{45}{72}$
- Compare: $\frac{32}{72} < \frac{45}{72}$
-
✔ Answer:
<
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3. $\frac{5}{6} \ \square \ \frac{9}{7}$
- $\frac{5}{6} \approx 0.833$, $\frac{9}{7} \approx 1.286$
- Since $0.833 < 1.286$, we have $\frac{5}{6} < \frac{9}{7}$
-
✔ Answer:
<
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4. $\frac{1}{9} \ \square \ \frac{7}{6}$
- $\frac{1}{9} \approx 0.111$, $\frac{7}{6} \approx 1.166$
- Clearly, $0.111 < 1.166$
-
✔ Answer:
<
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5. $\frac{7}{2} \ \square \ \frac{7}{6}$
- Both have same numerator (7), so compare denominators.
- Smaller denominator → larger value.
- $2 < 6$, so $\frac{7}{2} > \frac{7}{6}$
-
✔ Answer:
>
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6. $\frac{3}{2} \ \square \ \frac{1}{4}$
- $\frac{3}{2} = 1.5$, $\frac{1}{4} = 0.25$
- $1.5 > 0.25$
-
✔ Answer:
>
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7. $\frac{8}{9} \ \square \ \frac{1}{3}$
- Convert $\frac{1}{3}$ to ninths: $\frac{1}{3} = \frac{3}{9}$
- Now compare: $\frac{8}{9} > \frac{3}{9}$
-
✔ Answer:
>
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8. $\frac{6}{5} \ \square \ \frac{1}{8}$
- $\frac{6}{5} = 1.2$, $\frac{1}{8} = 0.125$
- $1.2 > 0.125$
-
✔ Answer:
>
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✔ Final Answers:
| Problem | Answer |
|--------|--------|
| $\frac{6}{3} \ \square \ \frac{1}{9}$ |
> |
| $\frac{4}{9} \ \square \ \frac{5}{8}$ |
< |
| $\frac{5}{6} \ \square \ \frac{9}{7}$ |
< |
| $\frac{1}{9} \ \square \ \frac{7}{6}$ |
< |
| $\frac{7}{2} \ \square \ \frac{7}{6}$ |
> |
| $\frac{3}{2} \ \square \ \frac{1}{4}$ |
> |
| $\frac{8}{9} \ \square \ \frac{1}{3}$ |
> |
| $\frac{6}{5} \ \square \ \frac{1}{8}$ |
> |
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📝 Summary:
You can compare fractions by:
- Simplifying them,
- Converting to decimals,
- Or finding a common denominator.
Always double-check your work — especially when dealing with improper fractions or mixed numbers!
Let me know if you'd like this as a printable worksheet!
Parent Tip: Review the logic above to help your child master the concept of 4th grade fractions worksheets.
