We included HMH Into Math Grade 4 Answer Key PDF Module 15 Review to make students experts in learning maths.

Vocabulary

Question 1.
Match the correct term to the sentence that describes it.

Associative property
Mixed number
Explanation:
When the numbers are grouped in order to add them to get sum is called associative property.
When the amount or number has whole number and fraction then it is mixed number.

Concepts and Skills

Write the fraction as a mixed number.

Question 2.
$$\frac{10}{8}$$ = __________
1$$\frac{2}{8}$$
Explanation:
To convert into mixed number divided the numerator with denominator ,
and write as whole number and fraction.

Question 3.
$$\frac{35}{6}$$ = ___________
5$$\frac{5}{6}$$
Explanation:
To convert into mixed number divided the numerator with denominator ,
and write as whole number and fraction.

Write the mixed number as a fraction.

Question 4.
4$$\frac{2}{6}$$ = ____________
$$\frac{26}{6}$$
Explanation:
To convert mixed number as a fraction multiply the whole number with denominator,
and add the number with numerator.
4$$\frac{2}{6}$$ = $$\frac{26}{6}$$

Question 5.
5$$\frac{1}{8}$$ = _____________
$$\frac{41}{6}$$
Explanation:
To convert mixed number as a fraction multiply the whole number with denominator,
and add the number with numerator.
5$$\frac{1}{8}$$ = $$\frac{41}{8}$$

Question 6.
Select all the sums that equal 6$$\frac{3}{5}$$.
(A) 2$$\frac{1}{5}$$ + 4$$\frac{2}{5}$$
(B) $$\frac{11}{5}$$ + $$\frac{11}{5}$$ + $$\frac{11}{5}$$
(C) 3$$\frac{1}{5}$$ + 3$$\frac{1}{5}$$
(D) 5 + 1$$\frac{3}{5}$$
(E) 3$$\frac{2}{5}$$ + $$\frac{16}{5}$$
(F) 3$$\frac{3}{5}$$ + 3$$\frac{3}{5}$$
Option A, B,  and E
Explanation:
(A) 2$$\frac{1}{5}$$ + 4$$\frac{2}{5}$$ = 6$$\frac{3}{5}$$.
$$\frac{11}{5}$$ + $$\frac{22}{5}$$ = 6$$\frac{3}{5}$$.
$$\frac{11+22}{5}$$ = 6$$\frac{3}{5}$$.
$$\frac{33}{5}$$ = 6$$\frac{3}{5}$$.
6$$\frac{3}{5}$$ = 6$$\frac{3}{5}$$.
(B) $$\frac{11}{5}$$ + $$\frac{11}{5}$$ + $$\frac{11}{5}$$
$$\frac{11+11+11}{5}$$ = $$\frac{33}{5}$$ = 6$$\frac{3}{5}$$
(E) 3$$\frac{2}{5}$$ + $$\frac{16}{5}$$
$$\frac{17}{5}$$ + $$\frac{16}{5}$$ = $$\frac{17+16}{5}$$
= $$\frac{33}{5}$$ = 6$$\frac{3}{5}$$

Question 7.
Use Tools Fred has 3 bags of almonds. Each bag has 1$$\frac{4}{8}$$ cups in it. How many cups of almonds does Fred need to buy to have a total of 6 cups of almonds? Name the strategy or tool you will use to solve the problem, explain your choice, and then find the answer.
1$$\frac{4}{8}$$
Explanation:
combined operation of multiplication and addition strategy
Fred has 3 bags of almonds.
Each bag has 1$$\frac{4}{8}$$ cups in it.
= 3 x 1$$\frac{4}{8}$$
= 3 x $$\frac{12}{8}$$
= $$\frac{36}{8}$$ = 4$$\frac{4}{8}$$
Total almonds does Fred need to buy to have a total of 6 cups
= 6 – 4$$\frac{2}{8}$$
= 6 – $$\frac{36}{8}$$
= $$\frac{48 – 36}{8}$$
= $$\frac{12}{8}$$
= 1$$\frac{4}{8}$$

Find the sum or difference. If possible, write your answer as a mixed number.

Question 8.
1$$\frac{9}{10}$$ + 1$$\frac{8}{10}$$ = ____________
3$$\frac{7}{10}$$
Explanation:
1$$\frac{9}{10}$$ + 1$$\frac{8}{10}$$
= $$\frac{19}{10}$$ + $$\frac{18}{10}$$
= $$\frac{19+18}{10}$$ = $$\frac{37}{10}$$
= 3$$\frac{7}{10}$$

Question 9.
2$$\frac{3}{6}$$ – $$\frac{4}{6}$$ = _____________
1$$\frac{5}{6}$$
Explanation:
2$$\frac{3}{6}$$ – $$\frac{4}{6}$$
= $$\frac{15}{6}$$ – $$\frac{4}{6}$$
= $$\frac{15-4}{6}$$ = $$\frac{11}{6}$$
= 1$$\frac{5}{6}$$

Question 10.
$$\frac{5}{6}$$ + $$\frac{5}{6}$$ + $$\frac{5}{6}$$ = ___________
2$$\frac{3}{6}$$
Explanation:
$$\frac{5}{6}$$ + $$\frac{5}{6}$$ + $$\frac{5}{6}$$
= $$\frac{5+5+5}{6}$$ = $$\frac{15}{6}$$ = 2$$\frac{3}{6}$$

Question 11.
5$$\frac{7}{8}$$ – 5$$\frac{1}{8}$$ = ___________
$$\frac{6}{8}$$
Explanation:
5$$\frac{7}{8}$$ – 5$$\frac{1}{8}$$
= $$\frac{47}{8}$$ – $$\frac{41}{8}$$
= $$\frac{47-41}{8}$$ = $$\frac{6}{8}$$

Question 12.
Jana needs 4$$\frac{1}{8}$$ yards of fence to put around an herb garden. She also wants to put 5$$\frac{4}{8}$$ yards of fencing around a flower garden. How many yards of fencing does Jana need?
9$$\frac{5}{8}$$ of fencing does Jana need
Explanation:
Jana needs 4$$\frac{1}{8}$$ yards of fence to put around an herb garden.
She also wants to put 5$$\frac{4}{8}$$ yards of fencing around a flower garden.
4$$\frac{1}{8}$$ + 5$$\frac{4}{8}$$
= 4$$\frac{1}{8}$$ + 5$$\frac{4}{8}$$
=$$\frac{33}{8}$$ + $$\frac{44}{8}$$
=$$\frac{33 + 44}{8}$$
=$$\frac{77}{8}$$
=9$$\frac{5}{8}$$

Question 13.
Joanna is 11$$\frac{5}{8}$$ years old. Her brother is $$\frac{48}{8}$$ years older than Joanna and her sister is 3$$\frac{1}{8}$$ years younger than her brother. How old are Joanna’s sister and brother?
Joanna’s sister and brother?
Joanna’s  sister age 14$$\frac{4}{8}$$
Joanna’s brother age 17$$\frac{5}{8}$$
Explanation:
Joanna is 11$$\frac{5}{8}$$ years old
Her brother is $$\frac{48}{8}$$ years older than Joanna
11$$\frac{5}{8}$$ + $$\frac{48}{8}$$
=$$\frac{93}{8}$$ + $$\frac{48}{8}$$
=$$\frac{93 + 48}{8}$$
=$$\frac{141}{8}$$
=17$$\frac{5}{8}$$
Joanna and her sister is 3$$\frac{1}{8}$$ years younger than her brother.
Joanna’s sisters age
17$$\frac{5}{8}$$ – 3$$\frac{1}{8}$$
=17$$\frac{5}{8}$$ – 3$$\frac{1}{8}$$
=$$\frac{141}{8}$$ – $$\frac{25}{8}$$
=$$\frac{116}{8}$$
=14$$\frac{4}{8}$$

Question 14.
Jake and his family go to the park. They spend 1$$\frac{4}{5}$$ hours hiking and 2$$\frac{1}{5}$$ hours riding bikes. If they only have 5 hours to spend at the park, do they have time to canoe for 1$$\frac{3}{5}$$ hours? Explain.
No, they don’t have enough time.
Explanation:
They spend 1$$\frac{4}{5}$$ hours hiking and 2$$\frac{1}{5}$$ hours riding bikes
1$$\frac{4}{5}$$ + 2$$\frac{1}{5}$$
= $$\frac{9}{5}$$ + $$\frac{11}{5}$$
=$$\frac{20}{5}$$
= 4 hours
out of 5 hours 4 hours they spend time to canoe for 1$$\frac{3}{5}$$ hours?
they don’t have enough time.

Question 15.
Mona spent 4$$\frac{1}{4}$$ hours doing her English and math homework over the weekend. If she spent 2$$\frac{3}{4}$$ hours on her English homework, how long did she spend on her math homework? Draw a visual fraction model to support your answer.
1$$\frac{2}{4}$$
4$$\frac{1}{4}$$ – 2$$\frac{3}{4}$$
= $$\frac{17}{4}$$ – $$\frac{11}{4}$$
= $$\frac{17 – 11}{4}$$
=$$\frac{6}{4}$$
=1$$\frac{2}{4}$$