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

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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.

Texas Go Math Grade 4 Lesson 5.6 Add and Subtract Mixed Numbers 1
Answer:

Texas Go Math Grade 4 Lesson 5.6 Add and Subtract Mixed Numbers 2
Answer:

Texas Go Math Grade 4 Lesson 5.6 Add and Subtract Mixed Numbers 3
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.
Texas Go Math Grade 4 Lesson 5.6 Add and Subtract Mixed Numbers 4
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.
Texas Go Math Grade 4 Lesson 5.6 Add and Subtract Mixed Numbers 5
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.
Texas Go Math Grade 4 Lesson 5.6 Add and Subtract Mixed Numbers 6
Answer:

Explanation:
Added the wholes then added the fractions
written the sum

Question 2.
Texas Go Math Grade 4 Lesson 5.6 Add and Subtract Mixed Numbers 7
Answer:

Explanation:
Added the wholes then added the fractions
written the sum

Question 3.
Texas Go Math Grade 4 Lesson 5.6 Add and Subtract Mixed Numbers 8
Answer:

Explanation:
Added the wholes then added the fractions
written the sum

Find the difference.

Question 4.
Texas Go Math Grade 4 Lesson 5.6 Add and Subtract Mixed Numbers 9
Answer:

Explanation:
subtracted the wholes then subtracted the fractions
written the Difference

Question 5.
Texas Go Math Grade 4 Lesson 5.6 Add and Subtract Mixed Numbers 10
Answer:

Explanation:
subtracted the wholes then subtracted the fractions
written the Difference

Question 6.
Texas Go Math Grade 4 Lesson 5.6 Add and Subtract Mixed Numbers 11
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.
Texas Go Math Grade 4 Lesson 5.6 Add and Subtract Mixed Numbers 12
Answer:

Explanation:
Added the wholes then added the fractions
written the sum

Question 2.
Texas Go Math Grade 4 Lesson 5.6 Add and Subtract Mixed Numbers 13
Answer:

Explanation:
Added the wholes then added the fractions
written the sum

Question 3.
Texas Go Math Grade 4 Lesson 5.6 Add and Subtract Mixed Numbers 14
Answer:

Explanation:
Added the wholes then added the fractions
written the sum

Question 4.
Texas Go Math Grade 4 Lesson 5.6 Add and Subtract Mixed Numbers 15
Answer:

Explanation:
Added the wholes then added the fractions
written the sum

Find the difference

Question 5.
Texas Go Math Grade 4 Lesson 5.6 Add and Subtract Mixed Numbers 16
Answer:

Explanation:
subtracted the wholes then subtracted the fractions
written the Difference

Question 6.
Texas Go Math Grade 4 Lesson 5.6 Add and Subtract Mixed Numbers 17
Answer:

Explanation:
subtracted the wholes then subtracted the fractions
written the Difference

Question 7.
Texas Go Math Grade 4 Lesson 5.6 Add and Subtract Mixed Numbers 18
Answer:

Explanation:
subtracted the wholes then subtracted the fractions
written the Difference

Question 8.
Texas Go Math Grade 4 Lesson 5.6 Add and Subtract Mixed Numbers 19
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

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