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NameHomework & Practice 8-2Equivalent Fractions: Number Lines

For 1–6, write two fractions for the point on each number line.

1. 2.

7. Are 38 and 34 equivalent fractions? Draw a number line to decide.

3. 4.

8. Draw a number line to show 14 and 28 are equivalent.

You can write equivalent fractions for a point shown on a number line.

Label the number line in two different ways.

The point is at 812.

The point is at 46.

46 = 8

1246 and 8

12 are equivalent fractions.

5. 6. 0 1 0 1

Equivalent fractions represent the same fractional amount of the same whole or

same-sized wholes.

421Topic 8 Lesson 8-2

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9. Critique Reasoning Mike says he can find a fraction equivalent to 1

10, even though 1

10 is a unit fraction. Is Mike correct? Explain.

10. Algebra There are 267 students and 21 adults going on a school trip. An equal number of people will ride on each bus. If there are 9 buses, how many people will ride on each bus? Write and solve equations.

11. Point X is at 23 on a number line. On the same number line, point Y is the same distance from 0 as point X, but has a numerator of 8. What is the denominator of the fraction at point Y? Draw a number line to model the problem.

12. Higher Order Thinking A recipe calls for 14 cup of flour. Carter only has a measuring cup that holds 18 cup. How can Carter measure the flour he needs for his recipe?

13. Monty is using a number line to find fractions equivalent to 46.

He says he can find an equivalent fraction with a denominator greater than 6 and an equivalent fraction with a denominator less than 6.

Part A

Write to explain how Monty can use the number line to find an equivalent fraction with a denominator greater than 6.

Part B

Write to explain how Monty can use the number line to find an equivalent fraction with a denominator less than 6.

You can further divide or relabel the number

line to find equivalent fractions.

Assessment

422 Topic 8 Lesson 8-2

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