# Into Math Grade 5 Module 11 Review Answer Key

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

## HMH Into Math Grade 5 Module 11 Review Answer Key

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.
Answer:
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.
Answer:
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.
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
Answer:
(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?
Answer:
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
Answer:
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
Answer:
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
Answer:
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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