We included **HMH Into Math Grade 5 Answer Key PDF** **Module 11 Divide with Whole Numbers and Unit Fractions **to make students experts in learning maths.

## HMH Into Math Grade 5 Module 11 Answer Key Divide with Whole Numbers and Unit Fractions

**Which Cup should I use ?**

- You want to fill the large container so that it has more than 5 cups of water but less than 5\(\frac{1}{3}\) cups of water.
- You can choose only one of the three glasses to fill the container and each glass must be full each time.

- You can fill and empty each glass only 8 times. Complete the table.

- Which glass would you choose? How many times would you need to fill the glass?

Answer:

Explanation:

Completed the table,

I would choose glass \(\frac{2}{3}\) cup,

I need 8 fills to fill the container by using \(\frac{2}{3}\) cup.

**Turn and Talk**

How did you solve the problem?

Answer:

By completing the table and checking,

Explanation:

By checking the one of the three glasses to fill the container and each glass must be filled each time from the completed table,

Considering fills and empty each glass only 8 times,

Fills the large container so that it has more than 5 cups of water but less than 5\(\frac{1}{3}\) cups of water.

**Are You Ready?**

Complete these problems to review prior concepts and skills you will need for this module.

**Part of a Whole**

Write the fraction that names the equal part. Then write a fraction to name the shaded part of the whole.

Question 1.

Each equal part is .

is shaded.

Answer:

Each equal part is \(\frac{1}{3}\),

\(\frac{2}{3}\) is shaded,

Explanation:

Wrote the fraction that names the equal part as \(\frac{1}{3}\),

Then writing a fraction to name the shaded part of the whole as \(\frac{2}{3}\).

Question 2.

Each equal part is .

is shaded.

Answer:

Each equal part is \(\frac{6}{6}\),

\(\frac{5}{6}\) is shaded,

Explanation:

Wrote the fraction that names the equal part as \(\frac{6}{6}\),

Then writing a fraction to name the shaded part of the whole as \(\frac{5}{6}\).

**Add Fractions**

**Find the sum.**

Question 3.

\(\frac{1}{8}\) + \(\frac{1}{8}\) = ___________

Answer:

\(\frac{2}{8}\) = \(\frac{1}{4}\),

Explanation:

Given to add \(\frac{1}{8}\) + \(\frac{1}{8}\),

as denominators are same we take common denominators and

add numerators as \(\frac{1 + 1}{8}\) =

\(\frac{2}{8}\) as both numerator and denominator goes

by 2 ( 2X 1 = 2 and 2 X 4 = 8) we get \(\frac{1}{4}\),

therefore \(\frac{1}{8}\) + \(\frac{1}{8}\) =

\(\frac{2}{8}\) = \(\frac{1}{4}\).

Question 4.

\(\frac{1}{9}\) + \(\frac{1}{9}\) + \(\frac{1}{9}\) + \(\frac{1}{9}\) + \(\frac{1}{9}\) = ___________

Answer:

\(\frac{5}{9}\),

Explanation:

Given to add \(\frac{1}{9}\) + \(\frac{1}{9}\) +

\(\frac{1}{9}\) + \(\frac{1}{9}\) + \(\frac{1}{9}\)

as denominators are same we take common denominators and add numerators as \(\frac{1 + 1 + 1 + 1 + 1}{9}\) =

\(\frac{5}{9}\), therefore \(\frac{1}{9}\) +

\(\frac{1}{9}\) + \(\frac{1}{9}\) +

\(\frac{1}{9}\) + \(\frac{1}{9}\) =

\(\frac{5}{9}\).

Question 5.

\(\frac{1}{6}\) + \(\frac{1}{6}\) + \(\frac{4}{6}\) = ___________

Answer:

\(\frac{6}{6}\) or 1.

Explanation:

Given to add \(\frac{1}{6}\) + \(\frac{1}{6}\) +

\(\frac{4}{6}\) as denominators are same we take common denominators and add numerators as

\(\frac{1 + 1 + 4}{6}\) = \(\frac{6}{6}\) as both numerator and denominator goes by 6 we get 1,

therefore \(\frac{1}{6}\) + \(\frac{1}{6}\) + \(\frac{4}{6}\) = \(\frac{6}{6}\) or 1

Question 6.

\(\frac{1}{5}\) + \(\frac{1}{5}\) + \(\frac{1}{5}\) + \(\frac{1}{5}\) = ___________

Answer:

\(\frac{4}{5}\),

Explanation:

Given to add \(\frac{1}{5}\) + \(\frac{1}{5}\) +

\(\frac{1}{5}\) + \(\frac{1}{5}\)

as denominators are same we take common denominators and add numerators as \(\frac{1 + 1 + 1 + 1}{5}\) =

\(\frac{4}{5}\), therefore \(\frac{1}{5}\) + \(\frac{1}{5}\) + \(\frac{1}{5}\) + \(\frac{1}{5}\) = \(\frac{4}{5}\).

**Relate Multiplication and Division**

**Write the related facts for each set.**

Question 7.

4, 5, 20

_________ ÷ __________ = __________

_________ × __________ = __________

_________ ÷ __________ = __________

_________ × __________ = __________

Answer:

20 ÷ 4 = 5,

4 X 5 = 20,

20 ÷ 5 = 4,

5 X 4 = 20,

Explanation:

Given set is 4, 5, 20 the related facts are

when 20 is divided by 4 we get 20 ÷ 4 = 5,

when 4 multiplied by 5 we will get 4 X 5 = 20,

when 20 is divided by 5 we get 20 ÷ 5 = 4,

when 5 multiplied by 4 we will get 5 X 4 = 20.

Question 8.

3, 9, 27

_________ ÷ __________ = __________

_________ × __________ = __________

_________ ÷ __________ = __________

_________ × __________ = __________

Answer:

27 ÷ 3 = 9,

3 X 9 = 27,

27 ÷ 9 = 3,

9 X 3 = 27,

Explanation:

Given set is 3, 9, 27 the related facts are

when 27 is divided by 3 we get 27 ÷ 3 = 9,

when 3 multiplied by 9 we will get 3 X 9 = 27,

when 27 is divided by 9 we get 27 ÷ 9 = 3,

when 9 multiplied by 3 we will get 9 X 3 = 27.

Question 9.

7, 8, 56

_________ ÷ __________ = __________

_________ × __________ = __________

_________ ÷ __________ = __________

_________ × __________ = __________

Answer:

56 ÷ 7 = 8,

7 X 8 = 56,

56 ÷ 8 = 7,

8 X 7 = 56,

Explanation:

Given set is 7, 8, 56 the related facts are

when 56 is divided by 7 we get 56 ÷ 7 = 8,

when 7 multiplied by 8 we will get 7 X 8 = 56,

when 56 is divided by 8 we get 56 ÷ 8 = 7,

when 8 multiplied by 7 we will get 8 X 7 = 56.