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Fractions to Decimals Models
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Fractions to Decimals Models
At a neighborhood snack stand, you are helping label portions and prices. Use the fraction models to see how fractions connect to decimals. For repeating decimals, use dots or the word “repeating.”
Read the models
A fraction model shows equal parts of one whole. The shaded parts represent the numerator; the total equal parts represent the denominator.
1.The snack stand has shaded 2 of 3 equal parts of a tray. Write the shaded amount as a decimal. If it does not end, show that it repeats.
2.A cooler is divided into 8 equal spaces, and 3 spaces are filled with juice boxes. Which decimal represents the filled portion?
- 0.38
- 0.375
- 0.83
- 0.333…
3.A pie is sliced into 8 equal pieces. Seven pieces have been served. Write the fraction served as a decimal.
4.Some fractions make decimals that end, while others repeat forever. Select every fraction that has a terminating decimal.
- 1/8
- 1/3
- 5/8
- 2/3
Show how the numbers connect
Use equivalent fractions, division, and models to explain your thinking.
5.Draw a fraction bar divided into 3 equal parts and shade 1 part. Then write the decimal for 1/3.
6.Convert 5/8 to a decimal by dividing the numerator by the denominator. Write the division equation and the decimal.
7.A recipe for fruit punch uses 2/3 cup of orange juice. Write this amount as a decimal number of cups. Is the decimal terminating or repeating?
8.A customer says 3/8 and 0.375 describe the same amount. Is the customer correct? Explain using an equivalent fraction or a division equation.
9.The stand needs two different fractions that both equal 0.375. Give one fraction with denominator 8 and another equivalent fraction with denominator 1000.
10.In 2–3 sentences, explain why 1/3 becomes a repeating decimal but 1/8 becomes a terminating decimal. Include their decimal forms.
2 printable pages
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