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## Texas Go Math Grade 4 Lesson 5.3 Answer Key Subtract Fractions Using Models

**Essential Question**

How can you subtract fractions with like denominators using models?

Answer:

We can directly subtract the numerators

if there is like denominators using models

**Unlock the Problem**

A rover needs to travel \(\frac{5}{8}\) mile to reach its destination. It has already traveled \(\frac{3}{8}\) mile. How much farther does the rover need to travel?

Answer:

**Compare fractions to find the difference.**

**STEP 1** Shade the model.

Shade the model to show the total distance

Then shade the model to show how much distance the rover has already covered.

Answer:

Explanation:

\(\frac{5}{8}\) – \(\frac{3}{8}\) = \(\frac{2}{8}\)

**STEP 2** Write the difference.

\(\frac{5}{8}-\frac{3}{8}\) = \(\frac{}{8}\)

So, the rover needs to travel __________ mile farther.

Answer:

\(\frac{5}{8}-\frac{3}{8}\) = \(\frac{2}{8}\)

So, the rover needs to travel \(\frac{2}{8}\) mile farther.

**Another Way** Use fraction strips.

Use five \(\frac{1}{8}\)-size parts to model the whole distance.

How many \(\frac{1}{8}\)-size parts should you cross out to

model the distance the rover has traveled? ___________

How many \(\frac{1}{8}\)-size parts are left? ___________

Write the difference.

\(\frac{5}{8}\) – __________ = _________

Answer:

How many \(\frac{1}{8}\)-size parts should you cross out to

model the distance the rover has traveled? 3 we have to cross out.

How many \(\frac{1}{8}\)-size parts are left? 2 are left

Write the difference.

\(\frac{5}{8}\) – \(\frac{3}{8}\) = \(\frac{2}{8}\)

**Share and Show**

**Go Math Lesson 5.3 4th Grade Answer Key Question 1.**

Lisa needs \(\frac{4}{5}\) pound of shrimp to make shrimp salad. She has \(\frac{1}{5}\) pound of shrimp. How much more shrimp does Lisa need to make the salad?

Subtract \(\frac{4}{5}-\frac{1}{5}\). Use the model to help.

Shade the model to show how much shrimp Lisa needs.

Then shade the model to show how much shrimp Lisa has.

Compare the difference between the two shaded rows.

\(\frac{4}{5}-\frac{1}{5}\) = \(\frac{}{5}\) pound

Lisa needs __________ pound more shrimp.

Answer:

Explanation:

Shaded \(\frac{4}{5}\)Â total to travel

\(\frac{1}{5}\) shaded which was travelled

\(\frac{4}{5}-\frac{1}{5}\) = \(\frac{3}{5}\) pound

Lisa needs \(\frac{3}{5}\) pound more shrimp.

**Use the model to find the difference.**

Question 2.

\(\frac{3}{6}-\frac{2}{6}\) = \(\frac{}{6}\)

Answer:

\(\frac{3}{6}-\frac{2}{6}\) = \(\frac{1}{6}\)

Explanation:

As the denominators are same we can directly

Subtract the numerators in the fractions

Question 3.

\(\frac{8}{10}-\frac{3}{10}\) = \(\frac{}{10}\)

Answer:

\(\frac{8}{10}-\frac{3}{10}\) = \(\frac{5}{10}\)

Explanation:

As the denominators are same we can directly

Subtract the numerators in the fractions

**Subtract. Use models to help.**

Question 4.

\(\frac{5}{8}-\frac{2}{8}\) = __________

Answer:

\(\frac{5}{8}-\frac{2}{8}\) = \(\frac{3}{8}\)

Explanation:

As the denominators are the same we can directly

Subtract the numerators in the fractions

**Lesson 5.3 Answer Key 4th Grade Go Math Question 5.**

\(\frac{7}{12}-\frac{2}{12}\) = __________

Answer:

\(\frac{7}{12}-\frac{2}{12}\) =Â \(\frac{5}{12}\)

Explanation:

As the denominators are same we can directly

Subtract the numerators in the fractions

Question 6.

\(\frac{3}{4}-\frac{2}{4}\) = __________

Answer:

\(\frac{3}{4}-\frac{2}{4}\) = \(\frac{1}{4}\)

Explanation:

As the denominators are same we can directly

Subtract the numerators in the fractions

**Math Talk**

Mathematical Processes

Explain why the numerator changes when you subtract fractions with like denominators, but the denominator doesnâ€™t.

Answer:

Explanation:

The denominator defines total number of pieces or total amount of the whole

So, Numerator changes but denominator doesn’t change.

**Problem Solving**

Question 7.

HOT. Explain how you could find the unknown addend in \(\frac{2}{6}\) + _______ = 1 without using a model.

Answer:

\(\frac{2}{6}\) + \(\frac{4}{6}\)= 1

Explanation:

To make the whole how much we have to add

1 – \(\frac{2}{6}\) = \(\frac{4}{6}\)

so, we have to add \(\frac{4}{6}\)

**Lesson 5.3 Go Math 4th Grade Answer Key Question 8.**

Danis bean plant grew \(\frac{6}{8}\) inch the first week and \(\frac{2}{8}\) inch the second week. How much less did Daniâ€™s plant grow the second week?

Answer:

\(\frac{6}{8}\) – \(\frac{2}{8}\)Â = \(\frac{4}{8}\)

Explanation:

Danis bean plant grew \(\frac{6}{8}\) inch the first week

and \(\frac{2}{8}\) inch the second week.

\(\frac{6}{8}\) – \(\frac{2}{8}\)Â = \(\frac{4}{8}\)

Daniâ€™s plant grow less \(\frac{4}{8}\)Â the second week

**Unlock the Problem**

Question 9.

**H.O.T.** Reasoning Multi-Step Mrs. Ruiz served a pie for dessert two nights in a row. The drawings below show the pie after her family ate dessert on each night. What fraction of the pie did they eat on the second night?

(A) \(\frac{2}{12}\)

(B) \(\frac{5}{12}\)

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

(D) \(\frac{10}{12}\)

Answer: D

Explanation:

\(\frac{10}{12}\) is fraction of the pieÂ they eat on the second night

a. What do you need to know?

Answer:

How much they ate on the second night

b. How can you find the number of pieces eaten on the second night?

Answer:

Total – what part they have eaten

c. Explain the steps you used to solve the problem.

Answer:

1 – \(\frac{2}{12}\)Â = \(\frac{10}{12}\)

d. Complete the sentences.

After the first night, _______ pieces were left.

After the second night, _______ pieces were left.

So, _______ of the pie was eaten on the second night.

Answer:

After the first night, \(\frac{3}{12}\)Â pieces were left.

After the second night, \(\frac{2}{12}\) pieces were left.

So, \(\frac{10}{12}\) of the pie was eaten on the second night.

e. Fill in the bubble for the correct answer choice above.

Answer:

\(\frac{10}{12}\)Â is the correct answer

**Daily Assessment Task**

Fill in the bubble completely to show your answer.

**4th Grade Go Math Lesson 5.3 Answer Key Question 10.**

Angel is climbing a mountain. Ile has already climbed \(\frac{3}{5}\) of the way. What fraction of the way does Angel have left to climb?

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

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

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

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

Answer: A

Explanation:

He has already climbed \(\frac{3}{5}\)

1 – \(\frac{3}{5}\) = \(\frac{2}{5}\)

Question 11.

Sophia has \(\frac{7}{8}\) yard of blue cloth and \(\frac{3}{8}\) yard of red cloth to make a kite. How much more blue cloth does Sophia have than red cloth?

(A) \(\frac{3}{8}\) yard

(B) \(\frac{4}{8}\) yard

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

(D) \(\frac{10}{8}\) yard

Answer: B

Explanation:

\(\frac{7}{8}\) – \(\frac{3}{8}\)Â = \(\frac{4}{8}\)

\(\frac{4}{8}\) more blue cloth does Sophia have than red cloth

Question 12.

Multi-Step David buys \(\frac{3}{4}\) pound of bananas. Molly buys \(\frac{1}{4}\) pound less of bananas than David. Jude buys \(\frac{1}{4}\) pound less of bananas than Molly. How many pounds of bananas does Jude buy?

(A) \(\frac{2}{4}\) pound

(B) \(\frac{1}{3}\) pound

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

(D) \(\frac{1}{2}\) pound

Answer: A

Explanation:

\(\frac{3}{4}\) – \(\frac{1}{4}\) = \(\frac{2}{4}\)

\(\frac{2}{4}\) pounds of bananas does Jude buy.

**Go Math Lesson 5.3 Answer Key 4th Grade Question 13.**

Judi ate \(\frac{7}{8}\) of a small pizza and Jack ate \(\frac{2}{8}\) of a second small pizza. How much more of a pizza did Judi eat?

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

(B) 1

(C) \(\frac{6}{8}\)

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

Answer: D

Explanation:

\(\frac{7}{8}\) – \(\frac{2}{8}\) = \(\frac{5}{8}\)

\(\frac{5}{8}\) more of a pizza that Judi eat

### Texas Go Math Grade 4 Lesson 5.3 Homework and Practice Answer Key

**Use the model to find the difference.**

Question 1.

\(\frac{4}{8}-\frac{3}{8}\) = ___________

Answer:

\(\frac{4}{8}-\frac{3}{8}\) = \(\frac{1}{8}\)

Explanation:

As the denominators are same we can directly

Subtract the numerators in the fractions

Question 2.

\(\frac{7}{12}-\frac{4}{12}\) = ___________

Answer:

\(\frac{7}{12}-\frac{4}{12}\) = \(\frac{3}{12}\)

Explanation:

As the denominators are the same we can directly

Subtract the numerators in the fractions

**Subtract. Use models to help.**

**Practice and Homework Lesson 5.3 Answer Key 4th Grade Question 3.**

\(\frac{5}{7}-\frac{2}{7}\) = ___________

Answer:

\(\frac{5}{7}-\frac{2}{7}\) = \(\frac{3}{7}\)

Explanation:

As the denominators are the same we can directly

Subtract the numerators in the fractions

Question 4.

\(\frac{4}{5}-\frac{1}{5}\) = ___________

Answer:

\(\frac{4}{5}-\frac{1}{5}\) = \(\frac{3}{5}\)

Explanation:

As the denominators are same we can directly

Subtract the numerators in the fractions

Question 5.

\(\frac{5}{6}-\frac{3}{6}\) = ___________

Answer:

\(\frac{5}{6}-\frac{3}{6}\) = \(\frac{2}{6}\)

Explanation:

As the denominators are same we can directly

Subtract the numerators in the fractions

Question 6.

\(\frac{8}{10}-\frac{3}{10}\) = ___________

Answer:

\(\frac{8}{10}-\frac{3}{10}\) = \(\frac{5}{10}\)

Explanation:

As the denominators are same we can directly

Subtract the numerators in the fractions

**Problem Solving**

Question 7.

Martinâ€™s house is \(\frac{6}{8}\) mile from his school. If he walks \(\frac{4}{8}\) mile, how much further does he need to walk before he reaches the school? Draw a model to find the difference.

Answer:

Explanation:

\(\frac{6}{8}\) – \(\frac{4}{8}\) = \(\frac{2}{8}\)

\(\frac{2}{8}\)Â he need to walk before he reaches the school

**Go Math Lesson 5.3 Practice and Homework 4th Grade Question 8.**

Cynthia is mowing a yard. She has already mowed \(\frac{3}{4}\) of the yard. What fraction of the yard does Cynthia have left to mow? Draw a model to find the difference.

Answer:

1 – \(\frac{3}{4}\) = \(\frac{1}{4}\)

Explanation:

Drawn the fraction strip model

**Lesson Check**

Fill in the bubble completely to show your answer.

Question 9.

Cheri used \(\frac{5}{10}\) yard of ribbon to make abow and \(\frac{2}{10}\) yard of ribbon to make a bookmark. How much more ribbon did she use for the bow than she did for the bookmark?

(A) \(\frac{7}{10}\)

(B) \(\frac{4}{10}\)

(C) \(\frac{5}{10}\)

(D) \(\frac{3}{10}\)

Answer: D

Explanation:

\(\frac{5}{10}\) – \(\frac{2}{10}\)Â = \(\frac{3}{10}\)

\(\frac{3}{10}\) more ribbon that she use for the bow than she did for the bookmark

Question 10.

Carl had \(\frac{7}{12}\) of his cake left after his birthday. Then he and his friend ate \(\frac{2}{12}\) of the cake. how much of the cake is left now?

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

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

(C) \(\frac{6}{12}\)

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

Answer: A

Explanation:

\(\frac{7}{12}\) – \(\frac{2}{12}\) = \(\frac{5}{12}\)

\(\frac{5}{12}\) of the cake is left now

Question 11.

Carson needs \(\frac{4}{5}\) gallon of paint for his project. He has \(\frac{1}{5}\) gallon of paint. How much more paint does Carson need for his project?

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

(B) \(\frac{2}{5}\) ga1lon

(C) \(\frac{3}{5}\) gallon

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

Answer: C

Explanation:

\(\frac{4}{5}\) – \(\frac{1}{5}\) = \(\frac{3}{5}\) gallon

\(\frac{3}{5}\) gallon more paint does Carson need for his project

**Go Math 4th Grade Lesson 5.3 Homework Answers Question 12.**

Hannah needs to read \(\frac{5}{6}\) of a hook by Friday to stay on schedule. She has read \(\frac{3}{6}\) of the book so far, What fraction of the book does Hannah still need to read?

(A) \(\frac{4}{6}\)

(B) \(\frac{3}{6}\)

(C) \(\frac{8}{6}\)

(D) \(\frac{2}{6}\)

Answer: D

Explanation:

\(\frac{5}{6}\) – \(\frac{3}{6}\) = \(\frac{2}{6}\)

\(\frac{2}{6}\) fraction of the book that Hannah still need to read

Question 13.

Multi-Step Mrs. Gray sent \(\frac{5}{8}\) of her class to the library and \(\frac{2}{8}\) of her class to the computer lab. What fraction of the class remained in the classroom?

(A) \(\frac{4}{8}\)

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

(C) \(\frac{7}{8}\)

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

Answer: B

Explanation:

\(\frac{5}{8}\) + \(\frac{2}{8}\) = \(\frac{7}{8}\)

1 – \(\frac{7}{8}\) = \(\frac{1}{8}\)

\(\frac{1}{8}\) fraction of the class remained in the classroom

**Go Math Lesson 5.3 Homework Answer Key Question 14.**

Multi-Step Jarrod planted beans in \(\frac{3}{5}\) of his garden. He planted LomaEnes in \(\frac{1}{5}\) of his garden. What part of the garden does not have tomatoes or beans?

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

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

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

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

Answer: A

Explanation:

\(\frac{3}{5}\) + \(\frac{1}{5}\)Â = \(\frac{4}{5}\)

1 – \(\frac{4}{5}\) = \(\frac{1}{5}\)

\(\frac{1}{5}\) part of the garden does not have tomatoes or beans