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.