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.