Refer to our Texas Go Math Grade 4 Answer Key Pdf to score good marks in the exams. Test yourself by practicing the problems from Texas Go Math Grade 4 Lesson 5.6 Answer Key Add and Subtract Mixed Numbers.

## Texas Go Math Grade 4 Lesson 5.6 Answer Key Add and Subtract Mixed Numbers

**Essential Question**

How con you add and subtract mixed numbers with like denominators?

Answer: First convert the mixed fraction to the fraction

if the denominators are same then you can directly add or subtract the numerators.

**Unlock the Problem**

After a party, there were 1\(\frac{4}{6}\) quesadillas left on one tray and 2\(\frac{3}{6}\) quesadillas left on another tray. How much otthe quesadillas were left?

Answer:

**Example** Add mixed numbers.

Answer:

Answer:

Answer:

So, _____________ quesadillas were left.

Answer:

So, 4\(\frac{1}{6}\) quesadillas were left.

**Math Talk**

Mathematical Processes

When modeling sums such as \(\frac{4}{6}\) and \(\frac{3}{6}\), why is it helpful to combine parts into wholes when possible? Explain.

Answer: It is easy to add the numbers than fractions

If we make a whole then adding the remaining fractions will be easy.

**Example** Subtract mixed numbers.

Alejandro had 3\(\frac{4}{6}\) quesadillas. His family ate 2\(\frac{3}{6}\) of the quesadillas. How many quesadillas are left?

Find 3\(\frac{4}{6}\) – 2\(\frac{3}{6}\)

**Model**

Shade the model to show 3\(\frac{4}{6}\).

Then cross out 2\(\frac{3}{6}\) to model the subtraction.

The difference is \(\frac{1}{6}\).

So, there are __________ quesadillas left.

Answer:

The difference is _________ .

So, there are 1\(\frac{1}{6}\).quesadillas left.

Explanation:

Add the fractions first

\(\frac{4}{6}\). – \(\frac{3}{6}\).

\(\frac{1}{6}\).

Then subtract the wholes

3 – 2 = 1 Converted \(\frac{1}{6}\). to 1\(\frac{1}{6}\).

**Record**

Subtract the fractional parts of the mixed numbers.

Then subtract the whole-number parts of the mixed numbers.

Answer:

Explanation:

Subtracted the fractions first

\(\frac{4}{6}\). – \(\frac{3}{6}\).

\(\frac{1}{6}\).

Then subtract the wholes

3 – 2 = 1 Converted \(\frac{1}{6}\). to 1\(\frac{1}{6}\).

**Share and Grow**

**Write the sum as a mixed number with the fractional part less than 1.**

Question 1.

Answer:

Explanation:

Added the wholes then added the fractions

written the sum

Question 2.

Answer:

Explanation:

Added the wholes then added the fractions

written the sum

Question 3.

Answer:

Explanation:

Added the wholes then added the fractions

written the sum

Find the difference.

Question 4.

Answer:

Explanation:

subtracted the wholes then subtracted the fractions

written the Difference

Question 5.

Answer:

Explanation:

subtracted the wholes then subtracted the fractions

written the Difference

Question 6.

Answer:

Explanation:

subtracted the wholes then subtracted the fractions

written the Difference

**Math Talk**

Mathematical Processes

Explain how adding and subtracting mixed numbers is different from adding and Subtracting fractions.

Answer:

In fractions first we make denominators equal

then add or subtract the fractions directly

Explanation:

In mixed fractions first add or subtract the wholes

then add or subtract the fractions

**Problem Solving**

Solve. Write your answer as a mixed number.

Question 7.

The driving distance from Alex’s house to the museum is 6\(\frac{7}{10}\) miles. What is the round-trip distance?

Answer: 13\(\frac{4}{10}\) is the round trip distance

Explanation:

6\(\frac{7}{10}\) + 6\(\frac{7}{10}\)

first add the fractions

\(\frac{7}{10}\) + \(\frac{7}{10}\) = \(\frac{14}{10}\)

Then add the wholes

6 + 6 = 12

6 + 6 + 1 + \(\frac{4}{10}\) = 13\(\frac{4}{10}\)

Question 8.

**H.O.T.** Apply Multi-Step The driving distance from the sports arena to Kristina’s house is 10\(\frac{9}{10}\) miles. The distance from the sports arena to Luke’s house is 2\(\frac{7}{10}\) miles. How much greater is the driving distance between the sports arena and Kristina’s house than between the sports arena and Luke’s house?

Answer: 8\(\frac{2}{10}\)

Explanation:

10\(\frac{9}{10}\) – 2\(\frac{7}{10}\) miles.

Subtract the wholes 10 – 2 = 8

then subtract the fractions \(\frac{9}{10}\) – \(\frac{7}{10}\)

8\(\frac{2}{10}\) is the driving distance between the sports arena and Kristina’s house than between the sports arena and Luke’s house

Question 9.

Benji biked from his house to the nature preserve, a distance of 23\(\frac{4}{5}\) miles. Jade hiked from her house to the lake, a distance of 12\(\frac{2}{5}\) miles. How many fewer miles did Jade bike than Benji?

Answer: 11\(\frac{2}{5}\) fewer miles did Jade bike than Benji

Explanation:

23\(\frac{4}{5}\) – 12\(\frac{2}{5}\)

Subtract the wholes 23 – 12 = 11

then subtract the fractions \(\frac{4}{5}\) – \(\frac{2}{5}\) = \(\frac{2}{5}\)

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

Question 10.

**H.O.T.** Apply During the Samson family trip, they drove from home to a ski lodge, a distance of 55\(\frac{4}{5}\) miles, and then drove an additional 12\(\frac{4}{5}\) miles to visit friends. If the family drove the same route back home, what was the distance traveled during their trip?

Answer: 68\(\frac{3}{5}\)

55\(\frac{4}{5}\) + 12\(\frac{4}{5}\)

add the wholes 55 + 12 = 67

Add the fractions

\(\frac{4}{5}\) + \(\frac{4}{5}\) = \(\frac{8}{5}\) = 1\(\frac{3}{5}\)

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

**Daily Assessment Task**

Fill in the bubble completely to show your answer.

Question 11.

A chameleon’s body is 1\(\frac{4}{6}\) feet long. Its tongue is 2\(\frac{5}{6}\) feet long. How much longer is the chameleon’s tongue than its body?

(A) 2\(\frac{3}{6}\)

(B) 1\(\frac{3}{6}\)

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

(D) 2\(\frac{1}{6}\)

Answer: C

Explanation:

2\(\frac{5}{6}\) – 1\(\frac{4}{6}\) = 1\(\frac{1}{6}\) longer is the chameleon’s tongue than its body

Question 12.

Jill rides her horse 5\(\frac{6}{12}\) miles on a horse trail. She will ride 4\(\frac{5}{12}\) miles more to reach the end of the trail. How long is the horse trail?

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

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

(C) 9\(\frac{1}{12}\)

(D) 9\(\frac{11}{12}\)

Answer: D

Explanation:

5\(\frac{6}{12}\) + 4\(\frac{5}{12}\) = 9\(\frac{11}{12}\) is the horse trail

Question 13.

**Multi-Step** Students bring 8\(\frac{7}{8}\) gallons of lemonade to a picnic. They drink 5\(\frac{2}{8}\) gallons with lunch. Then they drink 2\(\frac{1}{8}\) gallons with an afternoon snack. How much lemonade is left?

(A) 3\(\frac{5}{8}\) gallons

(B) 6\(\frac{3}{4}\)gallons

(C) 5\(\frac{3}{4}\)gallons

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

Answer: D

Explanation:

5\(\frac{2}{8}\) + 2\(\frac{1}{8}\) = 7\(\frac{3}{8}\)

8\(\frac{7}{8}\) – 7\(\frac{3}{8}\) = 1\(\frac{4}{8}\)

= 1\(\frac{1}{2}\)gallons lemonade is left

**TEXAS Test Prep**

Question 14.

Jeff used 4\(\frac{7}{8}\) cups of orange juice and 3\(\frac{1}{8}\) cups of pineapple juice to make a tropical punch. How much more orange juice than pineapple juice did Jeff use?

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

(B) 1\(\frac{3}{4}\)

(C) 1\(\frac{7}{8}\)

(D) 8 cups

Answer: B

Explanation:

4\(\frac{7}{8}\) – 3\(\frac{1}{8}\) = 1\(\frac{6}{8}\)

1\(\frac{3}{4}\) more orange juice than pineapple juice that Jeff use

### Texas Go Math Grade 4 Lesson 5.6 Homework and Practice Answer Key

Write the sum as a mixed number with the fractional part less than 1.

Question 1.

Answer:

Explanation:

Added the wholes then added the fractions

written the sum

Question 2.

Answer:

Explanation:

Added the wholes then added the fractions

written the sum

Question 3.

Answer:

Explanation:

Added the wholes then added the fractions

written the sum

Question 4.

Answer:

Explanation:

Added the wholes then added the fractions

written the sum

**Find the difference**

Question 5.

Answer:

Explanation:

subtracted the wholes then subtracted the fractions

written the Difference

Question 6.

Answer:

Explanation:

subtracted the wholes then subtracted the fractions

written the Difference

Question 7.

Answer:

Explanation:

subtracted the wholes then subtracted the fractions

written the Difference

Question 8.

Answer:

Explanation:

subtracted the wholes then subtracted the fractions

written the Difference

**Problem Solving**

Question 9.

Mrs. Baker drove 2\(\frac{4}{10}\) hours to visit her mother. It took her 3\(\frac{6}{10}\) hours to get home. How much longer did it take Mrs. Baker to get home?

Answer: 1\(\frac{2}{10}\)

Explanation:

3\(\frac{6}{10}\) – 2\(\frac{4}{10}\) = 1\(\frac{2}{10}\)

1\(\frac{2}{10}\) longer that take Mrs. Baker to get home

Question 10.

Monica’s recipe calls for 2\(\frac{3}{4}\) cup of water and 3\(\frac{3}{4}\) cup of milk. What is the total amount of liquid in the recipe?

Answer: 6\(\frac{2}{4}\)

2\(\frac{3}{4}\) + 3\(\frac{3}{4}\) = 6\(\frac{2}{4}\)

6\(\frac{2}{4}\) is the total amount of liquid in the recipe

**Lesson check**

Fill in the bubble completely to show your answer.

Question 11.

Kimberly’s kite tail is 5\(\frac{5}{6}\) feet long. Margaret’s kite tail is 4\(\frac{3}{6}\) feet long. How much longer is Kimberly’s kite tail than Margaret’s kite tail?

(A) 1\(\frac{2}{3}\)feet

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

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

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

Answer: B

Explanation:

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

1\(\frac{1}{3}\)feet longer is Kimberly’s kite tail than Margaret’s kite tail.

Question 12.

Wayne recorded his exercise for two months. He walked 2\(\frac{8}{10}\) miles the first day. He walked 1\(\frac{5}{10}\) miles the second day. What is the total distance he walked during the two days?

(A) 4\(\frac{3}{10}\) miles

(B) 4\(\frac{2}{10}\) miles

(C) 3\(\frac{3}{10}\) miles

(D) 3\(\frac{2}{10}\) miles

Answer: A

Explanation:

2\(\frac{8}{10}\) + 1\(\frac{5}{10}\) = 3\(\frac{13}{10}\) = 4\(\frac{3}{10}\) miles is the total distance he walked during the two days

Question 13.

Kris used 7\(\frac{5}{12}\) inches of tape to wrap her brother’s gift and 6\(\frac{9}{12}\) inches of tape to wrap her sister’s gift. What is the total amount of tape Kris used to wrap the gifts?

(A) 13\(\frac{1}{6}\) inches

(B) 14\(\frac{1}{6}\) inches

(C) 13\(\frac{1}{12}\) inches

(D) 14\(\frac{1}{12}\) inches

Answer:

Explanation:

7\(\frac{5}{12}\) + 6\(\frac{9}{12}\) = 13\(\frac{14}{12}\) = 14\(\frac{2}{12}\) is the total amount of tape Kris used to wrap the gifts

Question 14.

The mall is 6\(\frac{6}{10}\) miles from Miranda’s house. The nearest grocery store is 4\(\frac{2}{10}\) miles from her house. How much farther is the mall than the grocery store from Miranda’s house?

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

(B) 4\(\frac{4}{5}\) mi1es

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

(D) 8\(\frac{2}{5}\) miles

Answer: A

Explanation:

6\(\frac{6}{10}\) – 4\(\frac{2}{10}\) = 2\(\frac{4}{10}\) = 2\(\frac{2}{5}\) miles

2\(\frac{2}{5}\) miles farther is the mall than the grocery store from Miranda’s house

Question 15.

Multi-Step A tank has 5\(\frac{3}{4}\) gallons of water in it. Today, 4\(\frac{1}{4}\) gallons of the water is used. Then, the tank is filled with another 6\(\frac{3}{4}\) gallons of water. What is the amount of water in the tank now?

(A) 8\(\frac{1}{4}\) gallons

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

(C) 8\(\frac{1}{4}\) gal1ons

(D) 1\(\frac{3}{4}\) gallons

Answer: A

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

1\(\frac{2}{4}\) + 6\(\frac{3}{4}\) = 7\(\frac{5}{4}\) = 8\(\frac{1}{4}\) gallons

8\(\frac{1}{4}\) gallons is the amount of water in the tank now

Question 16.

Multi-Step For a candy recipe, Karen will need 4\(\frac{3}{8}\) cups of dark chocolate chips, 5\(\frac{5}{8}\) cups milk chocolate chips, and 3\(\frac{4}{8}\) cups white chocolate chips. What is the total amount of chips needed for the candy recipe?

(A) 12\(\frac{1}{2}\) cups

(B) 12\(\frac{2}{3}\) cups

(C) 13\(\frac{2}{3}\) cups

(D) 13\(\frac{1}{2}\) cups

Answer: D

Explanation:

First add the wholes 4 + 5 + 3 = 12

Then add the fractions

\(\frac{3}{8}\) + \(\frac{5}{8}\) + \(\frac{4}{8}\) = \(\frac{12}{8}\)

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

so, the fraction is 13\(\frac{1}{2}\) cups