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## Texas Go Math Grade 5 Module 5 Assessment Answer Key

**Vocabulary**

**Choose the best term from the box.**

Vocabulary

common denominator

common multiple

equivalent fraction

Question 1.

A ________________ is a common multiple of two or more denominators. (p. 213)

Answer:

A common denominator is a common multiple of two or more denominators.

**Concepts and Skills**

**Estimate the sum or difference. (TEKS 5.3.A)**

Question 2.

\(\frac{8}{9}\) + \(\frac{4}{7}\)

Answer:

a. Round \(\frac{8}{9}\) to its closest benchmark.

Answer: \(\frac{9}{9}\)

b. Round \(\frac{4}{7}\) to its closest benchmark.

Answer: \(\frac{4}{7}\)

c. Add to find the estimate. \(\frac{9}{9}\) +\(\frac{4}{7}\) = \(\frac1{1}{2}\)

Answer: \(\frac1{1}{2}\)

Explanation:

used benchmarks to find reasonable estimates

by rounding fractions to 0, \(\frac{1}{2}\), or 1.

Question 4.

Question 3.

3\(\frac{2}{5}\) – \(\frac{5}{8}\)

Answer:

a. Round \(\frac{17}{5}\) to its closest benchmark.

Answer: \(\frac{20}{5}\)

b. Round \(\frac{5}{8}\) to its closest benchmark.

Answer: \(\frac{4}{8}\)

c. Add to find the estimate. \(\frac{20}{4}\) – \(\frac{4}{8}\) = 3\(\frac{1}{2}\)

Answer: 3\(\frac{1}{2}\)

Explanation:

used benchmarks to find reasonable estimates

by rounding fractions to 0, \(\frac{1}{2}\), or 1.

Question 4.

1\(\frac{5}{6}\) + 2\(\frac{2}{11}\)

Answer:

a. Round \(\frac{11}{6}\) to its closest benchmark.

Answer: \(\frac{12}{6}\)

b. Round \(\frac{24}{11}\) to its closest benchmark.

Answer: \(\frac{22}{11}\)

c. Add to find the estimate. \(\frac{22}{11}\) – \(\frac{12}{6}\) = 4

Answer: 4

Explanation:

used benchmarks to find reasonable estimates

by rounding fractions to 0, \(\frac{1}{2}\), or 1.

**Use the least common denominator to write ah equivalent fraction for each fraction. (TEKS 5.3)**

Question 5.

\(\frac{2}{5}\), \(\frac{1}{10}\)

least common denominator: ___________

Answer: 10

Explanation:

least common denominator: 5 and 10 is 10

Question 6.

\(\frac{5}{6}\), \(\frac{3}{8}\)

least common denominator: ____________

Answer: 48

Explanation:

least common denominator: 6 and 8 is 48

Question 7.

\(\frac{1}{3}\), \(\frac{2}{7}\)

least common denominator: _____________

Answer: 21

Explanation:

least common denominator: 3 and 7 is 21

**Use models or strategies to find the sum or difference. Write your answer in simplest form. (TEKS 5.3.H, 5.3.K)**

Question 8.

\(\frac{11}{8}\) – \(\frac{1}{6}\)

Answer:

\(\frac{11}{8}\) – \(\frac{1}{6}\)

\(\frac{13-4}{24}\)

\(\frac{29}{24}\)

Explanation:

Step 1: The least common denominator is found

Step 2: written equivalent fractions with equal denominators

Step 3: write the answer in simplest form.

Question 9.

\(\frac{2}{7}\) + \(\frac{2}{5}\)

Answer:

\(\frac{2}{7}\) + \(\frac{2}{5}\)

\(\frac{10}{35}\) + \(\frac{14}{35}\)

\(\frac{24}{35}\)

Explanation:

Step 1: The least common denominator is found

Step 2: written equivalent fractions with equal denominators

Step 3: write the answer in simplest form.

Question 10.

\(\frac{3}{4}\) – \(\frac{3}{10}\)

Answer:

\(\frac{3}{4}\) – \(\frac{3}{10}\)

\(\frac{15-6}{20}\)

\(\frac{9}{20}\)

Explanation:

Step 1: The least common denominator is found

Step 2: written equivalent fractions with equal denominators

Step 3: write the answer in simplest form.

**Use the properties and mental math to solve. Write your answer in simplest form. (TEKS 5.3.H)**

Question 11.

(\(\frac{3}{8}\) + \(\frac{2}{3}\)) + \(\frac{1}{3}\)

Answer:

Answer:

(\(\frac{3}{8}\) + \(\frac{2}{3}\)) + \(\frac{1}{3}\)

(\(\frac{9}{24}\) + \(\frac{16}{24}\)) + \(\frac{8}{24}\)

\(\frac{9+16+28}{24}\) =

\(\frac{33}{24}\)

Explanation:

Written the number sentence to represent the problem.

Used the Associative Property to group fractions with equal denominators together.

Used mental math to add the fractions with

equal denominators.

Written equivalent fractions with equal denominators and then added

Question 12.

1\(\frac{4}{5}\) + (2\(\frac{3}{20}\) + \(\frac{3}{5}\))

Answer:

1\(\frac{4}{5}\) + (2\(\frac{3}{20}\) + \(\frac{3}{5}\))

\(\frac{36+43+12}{20}\)

\(\frac{91}{20}\)

Explanation:

Written the number sentence to represent the problem.

Used the Associative Property to group fractions with equal denominators together.

Used mental math to add the fractions with

equal denominators.

Written equivalent fractions with equal denominators and then added

Question 13.

3\(\frac{5}{9}\) + (1\(\frac{7}{9}\) + 2\(\frac{5}{12}\))

Answer:

3\(\frac{5}{9}\) + (1\(\frac{7}{9}\) + 2\(\frac{5}{12}\))

\(\frac{32}{9}\) + \(\frac{16}{9}\) + \(\frac{29}{12}\)

\(\frac{128+64+87}{36}\)

Explanation:

Written the number sentence to represent the problem.

Used the Associative Property to group fractions with equal denominators together.

Used mental math to add the fractions with

equal denominators.

Written equivalent fractions with equal denominators and then added

**Fill in the bubble completely to show your answer.**

Question 14.

Samuel walks in the Labor Day parade. He walks 3\(\frac{1}{4}\) miles along the parade route and 2\(\frac{5}{6}\) miles home. How many miles does Samuel walk? (TEKS 5.3.K)

(A) \(\frac{5}{10}\) mile

(B) 6\(\frac{1}{12}\) miles

(C) 5\(\frac{1}{2}\) miles

(D) 5\(\frac{11}{12}\) miles

Answer: B

Explanation:

Samuel walks in the Labor Day parade.

He walks 3\(\frac{1}{4}\) miles along the parade route and 2\(\frac{5}{6}\) miles home.

3\(\frac{1}{4}\) + 2\(\frac{5}{6}\)

6\(\frac{1}{12}\) miles

Question 15.

Mrs. Michaels bakes a pie for her book club meeting. The shaded part of the diagram shows the amount of pie left after the meeting. That evening, Mr. Michaels eats \(\frac{1}{4}\) of the whole pie. Which fraction represents the amount of pie remaining? (TEKS 5.3.H, 5.3.K)

(A) \(\frac{1}{4}\)

(B) \(\frac{3}{8}\)

(C) \(\frac{5}{8}\)

(D) \(\frac{3}{4}\)

Answer: A

Explanation:

Mrs. Michaels bakes a pie for her book club meeting.

The shaded part of the diagram shows the amount of pie left after the meeting.

That evening, Mr. Michaels eats \(\frac{1}{4}\) of the whole pie.

\(\frac{1}{4}\) fraction represents the amount of pie remaining

Question 16.

Aaron is practicing for a triathlon. On Sunday, he bikes 12\(\frac{5}{8}\) miles and swims 5\(\frac{2}{3}\) miles. On Monday, he runs 6\(\frac{3}{8}\) miles. How many total miles does Aaron cover on the two days? (TEKS 5.3.K)

(A) 23\(\frac{1}{6}\) miles

(B) 25\(\frac{7}{12}\) miles

(C) 24\(\frac{7}{12}\) miles

(D) 24\(\frac{2}{3}\) miles

Answer: D

Explanation:

Aaron is practicing for a triathlon. On Sunday,

he bikes 12\(\frac{5}{8}\) miles and swims 5\(\frac{2}{3}\) miles.

On Monday, he runs 6\(\frac{3}{8}\) miles.

24\(\frac{2}{3}\) miles total miles does Aaron cover on the two days

12\(\frac{5}{8}\) + 6\(\frac{3}{8}\) + 6\(\frac{3}{8}\)

\(\frac{303+136+153}{24}\) = \(\frac{592}{24}\)

24\(\frac{2}{3}\) miles

Question 17.

Mario is painting his walls. He needs a total of 5\(\frac{2}{3}\) gallons of paint for the job. He has 3\(\frac{3}{4}\) gallons of paint. How much more paint does he need? (TEKS 5.3.K)

(A) 2\(\frac{5}{6}\) gallons

(B) 9\(\frac{1}{12}\) gallons

(C) 2\(\frac{1}{12}\) gallons

(D) 1\(\frac{11}{12}\) gallons

Answer: D

Explanation:

Mario is painting his walls.

He needs a total of 5\(\frac{2}{3}\) gallons of paint for the job.

He has 3\(\frac{3}{4}\) gallons of paint.

5\(\frac{2}{3}\) – 3\(\frac{3}{4}\)

1\(\frac{11}{12}\) gallons