We included HMH Into Math Grade 5 Answer Key PDF Module 11 Review to make students experts in learning maths.

Concepts and Skills

Question 1.
Write a word problem that can be modeled by the equation 2 ÷ $$\frac{1}{8}$$ = m. Then draw a visual fraction model to represent and solve the problem.
Word problem:
“There are 2 cakes each cake piece is of $$\frac{1}{8}$$ part so how many parts are there?”, 16 parts or 16 pieces of cakes,

Explanation:
Given to write a word problem that can be modeled by the equation 2 ÷ $$\frac{1}{8}$$ = m.
Word problem:
“There are 2 cakes each cake piece is of $$\frac{1}{8}$$ part so how many parts are there?”,
Drawn a visual fraction model to represent and solving the problem as m = 2 ÷ $$\frac{1}{8}$$ = 2 X 8 = 16 parts or 16 pieces of cake.

Question 2.
Usain has $$\frac{1}{2}$$ bag of cat food. He feeds an equal amount of the bag to his cat each day for 8 days. What fraction of the whole bag does he feed his cat each day? Write a division equation and a related multiplication equation to solve.
Division equation:
f= $$\frac{1}{2}$$ ÷ 8,
Multiplication equation:
f = $$\frac{1}{2}$$ X $$\frac{1}{8}$$,
Each day Usain feed $$\frac{1}{16}$$ bag of cat food

Explanation:
Given Usain has $$\frac{1}{2}$$ bag of cat food.
He feeds an equal amount of the bag to his cat each day for 8 days. let f be the fraction of the whole bag does he feed his cat each day a division equation is
f= $$\frac{1}{2}$$ ÷ 8 and a related multiplication equation is f = $$\frac{1}{2}$$ X $$\frac{1}{8}$$,
Solving f = $$\frac{1}{2 X 8}$$ = $$\frac{1}{16}$$, Therefore each day Usain feed $$\frac{1}{16}$$ bag of cat food.

Question 3.
Use Tools Sienna is making origami stars. Each star uses a strip of paper. She has 36 sheets of origami paper, and cuts out strips that are $$\frac{1}{2}$$ of each sheet. How many origami stars can Sienna make? Tell what strategy or tool you will use to answer the question, explain your choice, and then find the answer.
Sienna makes 72 stars,
short division,

Explanation:
Given Sienna is making origami stars. Each star uses a strip of paper. She has 36 sheets of origami paper and cuts out strips that are $$\frac{1}{2}$$ of each sheet.
Number of origami stars can Sienna make using short division strategy as 36 ÷ $$\frac{1}{2}$$ because 36 sheets are cut into $$\frac{1}{2}$$ strips so we use short division to find number of origami stars solving we get
36 ÷ $$\frac{1}{2}$$ = 36 X 2 = 72 stars.

Question 4.
Which division equation correctly represents the number line? (A) $$\frac{1}{4}$$ ÷ 3 = x
(B) $$\frac{1}{3}$$ ÷ 4 = x
(C) 3 ÷ $$\frac{1}{4}$$ = x
(D) 4 ÷ $$\frac{1}{3}$$ = x
(B) $$\frac{1}{3}$$ ÷ 4 = x,

Explanation:
The division equation that correctly represented on the number line is as the blue mark is showing from
0 to $$\frac{1}{3}$$ and is divided by 4 which matches with (B) $$\frac{1}{3}$$ ÷ 4 = x.

Question 5.
Use the expression $$\frac{1}{2}$$ ÷ 12 to complete the word problem. Then draw a visual fraction model to represent and solve the problem.
Trevor has ___________ days to finish Illustrating ____________ of a book. If the time he spends illustrating is an equal amount each day, how much of the whole book will Trevor illustrate each day?
Word problem:
“Trevor has 12 days to finish Illustrating $$\frac{1}{2}$$ of a book If the time he spends illustrating is an equal amount each day,
how much of the whole book will Trevor illustrate each day?”, Trevor illustrate $$\frac{1}{24}$$ each day,

Explanation:
Used the expression $$\frac{1}{2}$$ ÷ 12 to complete the word problem as
“Trevor has 12 days to finish Illustrating $$\frac{1}{2}$$ of a book If the time he spends illustrating is an equal amount each day, how much of the whole book will Trevor illustrate each day?”,
Then drawn a visual fraction model to represent and solving the problem as $$\frac{1}{2}$$ ÷ 12 =
$$\frac{1}{2}$$ X $$\frac{1}{12}$$ = $$\frac{1}{2 X 12}$$ = $$\frac{1}{24}$$,
therefore Trevor illustrate $$\frac{1}{24}$$ each day.

Divide. Write a related multiplication equation to solve.

Question 6.
11 ÷ $$\frac{1}{5}$$ = n
Multiplication equation:
11 X 5 = n,
n = 55,

Explanation:
Given 11 ÷ $$\frac{1}{5}$$ = n to write the related multiplication equation it is
n = 11 X 5 we will get n = 55.

Question 7.
n = $$\frac{1}{3}$$ ÷ 18
Multiplication equation:
n = $$\frac{1}{3}$$ X $$\frac{1}{18}$$,
n = $$\frac{1}{54}$$,

Explanation:
Given n = $$\frac{1}{3}$$ ÷ 18 to write the related multiplication equation it is
n = $$\frac{1}{3}$$ X $$\frac{1}{18}$$
we will get n = $$\frac{1}{3 X 18}$$,
n = $$\frac{1}{54}$$.

Question 8.
Fiona’s mom makes $$\frac{1}{4}$$ gallon of raspberry lemonade for Fiona and her 3 friends for a picnic lunch. Select all the equations that represent the fraction of a gallon of raspberry lemonade that Fiona and her 3 friends will each get.
(A) $$\frac{1}{4}$$ × $$\frac{1}{4}$$ = r
(B) $$\frac{1}{4}$$ × $$\frac{1}{3}$$ = r
(C) 3 ÷ $$\frac{1}{4}$$ = r
(D) 4 ÷ $$\frac{1}{4}$$ = r
(E) $$\frac{1}{4}$$ ÷ 4 = r
(F) $$\frac{1}{4}$$ × 3 = r
Bits (B) $$\frac{1}{4}$$ × $$\frac{1}{3}$$ = r and
(F) $$\frac{1}{4}$$ × 3 = r matches with fraction of a gallon of raspberry lemonade that Fiona and her 3 friends will each get,

Explanation:
Given Fiona’s mom makes $$\frac{1}{4}$$ gallon of raspberry lemonade for Fiona and her 3 friends for a picnic lunch. Selecting all the equations that represent the fraction of a gallon of raspberry lemonade that Fiona and her 3 friends will each get as $$\frac{1}{4}$$ ÷ 3 = r,
Solving we will get r = $$\frac{1}{4}$$ X $$\frac{1}{3}$$,
r = $$\frac{1}{4 X 3}$$ = $$\frac{1}{12}$$.
Checking with bit (A) $$\frac{1}{4}$$ × $$\frac{1}{4}$$ = r,
r = $$\frac{1}{4 X 4}$$ = $$\frac{1}{16}$$ which will not matche as $$\frac{1}{16}$$ ≠ $$\frac{1}{12}$$,
Checking with bit (B) $$\frac{1}{4}$$ × $$\frac{1}{3}$$ = r,
r = (B) $$\frac{1}{4 x 3}$$ = $$\frac{1}{12}$$ matches,
Checking with bit (C) 3 ÷ $$\frac{1}{4}$$ = r, r= 3 X 4 = 12 which will not match as 12 ≠ $$\frac{1}{12}$$,
Checking with bit (D) 4 ÷ $$\frac{1}{4}$$ = r, r = 4 X 4 = 16 which will not match as 14 ≠ $$\frac{1}{12}$$.
Checking with bit (E) $$\frac{1}{4}$$ ÷ 4 = r,
r = $$\frac{1}{4}$$ X $$\frac{1}{4}$$,
r = $$\frac{1}{4 X 4}$$ = $$\frac{1}{16}$$ which will not match as $$\frac{1}{16}$$ ≠ $$\frac{1}{12}$$,
Checking with bit (F) $$\frac{1}{4}$$ × 3 = r,
r = $$\frac{1}{4}$$ X $$\frac{1}{3}$$ =
$$\frac{1}{4 X 3}$$ = $$\frac{1}{12}$$ matches.
So bit (B) $$\frac{1}{4}$$ × $$\frac{1}{3}$$ = r and
(F) $$\frac{1}{4}$$ × 3 = r matches with fraction of a gallon of raspberry lemonade that Fiona and her 3 friends will each get.

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