Unit 8 Contents

Using as a Benchmark to Compare Fractions

To compare two fractions, it sometimes helps to first compare them to . For example, is less than and is greater than . From this, we know that is less than .

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7. Use as a benchmark or your Fraction Chart to compare the following pairs of fractions. Write number sentences using <, >, or =.
1. ,
2. ,
3. ,
4. ,
5. ,
6. ,
8. Which number sentences are true?
1. >
2. + <
3. = 3
4. + < 3
5. 3 >
6. + > +
7. Pick a false number sentence from above and make it true.

Same Numerator or Same Denominator

9. Use your Fraction Chart to put the following fractions in order from smallest to largest.
1. , ,
2. , ,
3. , ,
10. Use your answers from Question 9 to help you answer this question: If two or more fractions have the same numerator, how can you tell which one is smallest? Explain.
11. Put the following fractions in order from smallest to largest.
1. , ,
2. , ,
3. , ,
12. Use your answers from Question 11 to help you answer this question: If two or more fractions have the same denominator, how can you tell which one is smallest? Explain.