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Comparing Decimals and Fractions
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Comparing Decimals and Fractions
Diego, Jayden, and Mateo are comparing distances and supplies on a rainforest walk. Compare each decimal and fraction. You may rewrite a fraction as a decimal or use equivalent fractions. Show your reasoning where asked.
Warm-Up: Equivalent Values
Use the fraction bars to think about equal parts of one whole.
1.A trail marker shows 0.6 mile. Write 0.6 as a fraction in simplest form.
2.Jayden has used 0.25 of a bottle of water. Which fraction is equivalent to 0.25? Choose one.
- 1/2
- 1/4
- 2/5
- 3/4
3.Fill in the comparison symbol: 0.7 ___ 3/4. Use <, >, or =.
4.At a stream crossing, Mateo has walked 1/2 mile and Diego has walked 0.5 mile. Are the distances equal? Explain briefly.
Compare and Order
Use symbols and equivalent forms to solve the trail team's challenges.
5.Choose every value that is equal to 0.75.
- 3/4
- 6/8
- 75/100
- 7/5
6.Put these trail distances in order from least to greatest: 0.3, 1/4, 0.35, 2/5.
7.The group has crossed 3/5 of a muddy stretch. Write this amount as a decimal.
8.Compare 0.4 and 2/5. Write <, >, or =, then give one reason.
Explain Your Strategy
Finish by using comparison skills in a real trail decision.
9.Two trail sections measure 0.8 mile and 4/5 mile. Which is longer, or are they the same length? Show how you know.
10.Create two different fractions equivalent to 0.4. Show how each fraction can be simplified or converted to confirm your answer.
11.Plot 1/3, 0.4, 3/8, and 0.35 on the number line. Label each point. Which value is smallest?
3 printable pages
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