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

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?

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?
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.

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 .

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 .

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 $$\frac{5}{6}$$.

Find the sum.

Question 3.
$$\frac{1}{8}$$ + $$\frac{1}{8}$$ = ___________
$$\frac{2}{8}$$ = $$\frac{1}{4}$$,

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.
$$\frac{1}{9}$$ + $$\frac{1}{9}$$ + $$\frac{1}{9}$$ + $$\frac{1}{9}$$ + $$\frac{1}{9}$$ = ___________
$$\frac{5}{9}$$,

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.
$$\frac{1}{6}$$ + $$\frac{1}{6}$$ + $$\frac{4}{6}$$ = ___________
$$\frac{6}{6}$$ 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.
$$\frac{1}{5}$$ + $$\frac{1}{5}$$ + $$\frac{1}{5}$$ + $$\frac{1}{5}$$ = ___________
$$\frac{4}{5}$$,

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
_________ ÷ __________ = __________
_________ × __________ = __________
_________ ÷ __________ = __________
_________ × __________ = __________
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
_________ ÷ __________ = __________
_________ × __________ = __________
_________ ÷ __________ = __________
_________ × __________ = __________
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
_________ ÷ __________ = __________
_________ × __________ = __________
_________ ÷ __________ = __________
_________ × __________ = __________