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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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© Pearson Education, Inc. 4
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
MTH17_SE04_NA2_T08_L02.indd Page 422 8/21/15 1:08 PM f-0258 /121/PE02476_SE/enVisionMATH_nonCC_2.0/NA/SE/MATH_17/G4/0328887110/Layout/Interio ...