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## Texas Go Math Grade 4 Lesson 3.5 Answer Key Write Fractions as Sums

**Unlock the Problem**

Emilio cut a sandwich into 8 equal pieces and ate 1 piece. He has \(\frac{7}{8}\) of the sandwich left. Emilio put each remaining piece on a snack plate. How many snack plates did he use? What part of the sandwich did he put on each plate?

Answer:

Each piece of the sandwich is \(\frac{1}{8}\) the whole. \(\frac{1}{8}\) is called a unit fraction because it tells the part of the whole that 1 piece represents. A unit traction always has a numerator of 1.

Example 1 Use fraction strips. Write \(\frac{7}{8}\) as a sum of unit fractions.

\(\frac{7}{8}\) = _________ + _________ + _________ + _________ + _________ + _________ + _________

The number of addends represents the number of plates used.

The unit fractions represent the part of the sandwich on each plate.

So, Emilio used _________ plates. He put _________ of a sandwich on each plate.

Answer:

What if Emilio ate 3 pieces 01 the sandwich instead of 1 piece? How many snack plates would he need? What part of the sandwich would be on each plate? Explain.

Answer:

Example 2 Write a fraction as a sum. Kevin and Olivia are going to share a whole pizza. The pizza is cut into 6 equal slices. They will put the slices on two separate dishes. What part of the whole pizza could be on each dish?

Answer:

Shade the models to show how Kevin and Olivia could share the pizza. Write an equation.

Think: \(\frac{6}{6}\) = 1 whole pizza.

**Math Talk**

Mathematical Processes

Explain how the numerator in \(\frac{5}{6}\) is related to the number of addends in the sum of its unit fraction.

Answer:

**Share and Show**

Question 1.

Write \(\frac{3}{4}\) as a sum of unit fractions.

\(\frac{3}{4}\) = __________ + __________+ __________

Answer:

**Write the fraction as a sum of unit fractions.**

Question 2.

\(\frac{5}{6}\) = __________

Answer:

Question 3.

\(\frac{2}{3}\) = __________

Answer:

Question 4.

H.O.T. How many different ways can you write a fraction that has a numerator of 2 as a sum of fractions? Explain.

Answer:

Problem Solving

Question 5.

**H.O.T.** Representations Holly’s garden is divided into 5 equal sections. She will fence the garden into 3 areas by grouping some equal sections together. What part of the garden could each fenced area be?

Answer:

a. What information do you need to use?

Answer:

b. How can writing an equation help you solve the problem?

Answer:

c. How can drawing a model help you write an equation?

Answer:

d. Show how you can solve the problem.

Answer:

e. Complete the sentence.

The garden can be fenced into ________, ________, and ________ parts or ________, ________, and ________ parts.

Answer:

**Daily Assessment Task**

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

Question 8.

Paula mixed strawberry yogurt and milk to make a smoothie. The smoothie fills \(\frac{2}{3}\) cup. Which is \(\frac{2}{3}\) written as the sum of unit fractions?

(A) \(\frac{2}{3}+\frac{2}{3}\)

(B) \(\frac{1}{2}+\frac{1}{2}\)

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

(D) \(\frac{1}{3}+\frac{1}{3}\)

Answer:

Question 9.

Use Tools Larry’s dog, Rex, ate \(\frac{3}{4}\) of a can of dog food. What is another was of writing \(\frac{3}{4}\)? Use fraction strips to answer the question.

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

(B) \(\frac{1}{4}+\frac{1}{4}+\frac{1}{4}\)

(C) \(\frac{1}{4}+\frac{1}{4}+\frac{1}{4}+\frac{1}{4}\)

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

Answer:

Question 10.

Ben and his friends ate \(\frac{6}{8}\) of a whole pizza. Written as a sum of unit fractions, which shows the amount of pizza Ben and his friends ate?

(A) \(\frac{1}{8}+\frac{1}{8}+\frac{1}{8}+\frac{1}{8}+\frac{1}{8}+\frac{1}{8}\)

(B) \(\frac{1}{6}+\frac{1}{6}+\frac{1}{6}+\frac{1}{6}+\frac{1}{6}+\frac{1}{6}\)

(C) \(\frac{1}{8}+\frac{1}{8}+\frac{1}{8}+\frac{1}{8}+\frac{1}{8}+\frac{1}{8}+\frac{1}{8}+\frac{1}{8}\)

(D) \(\frac{1}{6}+\frac{1}{6}+\frac{1}{6}+\frac{1}{6}+\frac{1}{6}+\frac{1}{6}+\frac{1}{6}+\frac{1}{6}\)

Answer:

**TEXAS Test Prep**

Question 11.

Which is equivalent to \(\frac{9}{12}\)?

(A) \(\frac{5}{12}+\frac{3}{12}\)

(B) \(\frac{3}{12}+\frac{2}{12}+\frac{1}{12}+\frac{1}{12}\)

(C) \(\frac{5}{12}+\frac{2}{12}+\frac{2}{12}\)

(D) \(\frac{4}{12}+\frac{4}{12}+\frac{1}{12}+\frac{1}{12}\)

Answer:

### Texas Go Math Grade 4 Lesson 3.5 Homework and Practice Answer Key

Question 1.

\(\frac{2}{5}\) = ___________

Answer:

Question 2.

\(\frac{6}{7}\) = ___________

Answer:

Question 3.

What is \(\frac{4}{12}\) written as a sum of unit fractions?

Answer:

Question 4.

What is \(\frac{6}{8}\) written as a sum of unit fractions?

Answer:

Question 5.

What is \(\frac{8}{10}\) written as a sum of unit fractions?

Answer:

Question 6.

What is \(\frac{7}{9}\) written as a sum of unit fractions?

Answer:

**Problem Solving**

Question 7.

Hank cut a cake into 12 equal pieces and ate 2 pieces. He has \(\frac{10}{12}\) of the cake left to serve on plates. What part of the cake did he put on each plate?

Answer:

Question 8.

How many plates did hank use to serve the cake?

Answer:

**Lesson check**

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

Question 9.

What is \(\frac{5}{6}\) written as a sum of unit fractions

(A) \(\frac{3}{6}+\frac{1}{6}+\frac{1}{6}\)

(B) \(\frac{1}{6}+\frac{1}{6}+\frac{1}{6}+\frac{2}{6}\)

(C) \(\frac{6}{6}+\frac{1}{6}\)

(D) \(\frac{1}{6}+\frac{1}{6}+\frac{1}{6}+\frac{1}{6}+\frac{1}{6}\)

Answer:

Question 10.

Which is equivalent to \(\frac{8}{15}\)

(A) \(\frac{5}{15}+\frac{4}{15}\)

(B) \(\frac{4}{15}+\frac{2}{15}+\frac{2}{15}\)

(C) \(\frac{3}{15}+\frac{3}{15}+\frac{4}{15}\)

(D) \(\frac{2}{15}+\frac{2}{15}+\frac{2}{15}+\frac{1}{15}\)

Answer:

Question 11.

Kay lives \(\frac{5}{8}\) mile from her friend. Which is \(\frac{5}{8}\) written as the sum of unit fractions?

(A) \(\frac{1}{8}+\frac{5}{8}\)

(B) \(\frac{1}{8}+\frac{1}{8}+\frac{1}{8}+\frac{1}{8}+\frac{1}{8}\)

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

(D) \(\frac{1}{8}+\frac{1}{8}+\frac{1}{8}+\frac{1}{8}\)

Answer:

Question 12.

Which is equivalent to \(\frac{7}{12}\)?

(A) \(\frac{1}{12}+\frac{1}{12}+\frac{1}{12}+\frac{1}{12}+\frac{1}{12}\)

(B) \(\frac{7}{12}+\frac{1}{12}\)

(C) \(\frac{5}{12}+\frac{3}{12}\)

(D) \(\)

Answer:

Question 13.

Multi-Step Leena walked \(\frac{2}{3}\) of a mile. What is \(\frac{2}{3}\) written as a sum of unit fractions with a denominator of 9?

(A) \(\frac{5}{9}+\frac{4}{9}\)

(B) \(\frac{1}{9}+\frac{1}{9}+\frac{1}{9}+\frac{1}{9}+\frac{1}{9}+\frac{1}{9}\)

(C) \(\frac{2}{9}+\frac{2}{9}+\frac{2}{9}\)

(D) \(\frac{1}{9}+\frac{1}{9}+\frac{1}{9}\)

Answer:

Question 14.

Multi-Step William waters his plants on different days. He watered \(\frac{1}{5}\) of the plants on Monday and \(\frac{1}{5}\) of the plants on Tuesday. What fraction shows the part of the plants that William still needs to water this week?

(A) \(\frac{3}{5}\)

(B) \(\frac{2}{5}\)

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

(D) \(\frac{4}{5}\)

Answer: