We included HMH Into Math Grade 6 Answer Key PDF Module 3 Fraction Division to make students experts in learning maths.
HMH Into Math Grade 6 Module 3 Answer Key Fraction Division
A Perplexing Pet Puzzle
Ms. Tran wrote a set of clues about her pets.
Use the clues to complete the table with the number of each type of pet she owns.
Answer:
There are 30 pets in all.
In this \(\frac{1}{5}\) of pets are mice
Mice = \(\frac{1}{5}\) × 30
Mice = 6
The number of cat = 6 × \(\frac{1}{2}\) = 3
The number of dog = 3 × \(\frac{1}{3}\) = 1
The number of fish = 30 – (6 + 3 + 1) = 20
So the answer is cat = 3
Dog = 1
Fish = 3
Mice = 6
Fish = 20
Turn and Talk
- Which type of pet did you start with when completing the table? Why did you start with this pet?
Answer:
I have started with mice. Because In this \(\frac{1}{5}\) of pets are mice. - How could you tell that the number of dogs would be less than the number of mice without performing any calculations?
Answer:
The number of mice is 6.
And the question given is \(\frac{1}{3}\) as many dogs as cats.
Are You Ready?
Complete these problems to review prior concepts and skills you will need for this module.
Factors
Find all factor pairs for each number.
Question 1.
18
___________________
Answer:
Factor pairs of 18 are
1x 18
3x 6
2x 9.
Question 2.
21
___________________
Answer:
The factor pairs of 21 are
1x 21
3x 7.
Question 3.
48
___________________
Answer:
The factor pairs of 48 are
1x 48
2x 24
3x 16
4x 12
6x 8.
Question 4.
65
___________________
Answer:
The factor pairs of 65 are
1x 65
5x 13.
Add Fractions and Decimals
Find each sum or difference.
Question 5.
7.2 + 2.6
___________________
Answer:
9.8
Explanation:
The sum of 7.2 + 2.6 = 9.8
Question 6.
8.5 – 7
___________________
Answer:
1.5
Explanation:
The difference of 8.5 – 7 = 1.5
Question 7.
7.55 – 3.25
___________________
Answer:
4.3
Explanation:
The difference of 7.55 – 3.25 = 4.3
Question 8.
\(\frac{1}{3}\) + \(\frac{1}{5}\)
Answer:
\(\frac{8}{15}\).
Explanation:
Let us solve the given expression.
\(\frac{1}{3}\) + \(\frac{1}{5}\)
Find the LCM of 3, 5
And LCM of 3, 5 is 15.
\(\frac{5}{15}\) + \(\frac{3}{15}\)
\(\frac{8}{15}\).
Question 9.
\(\frac{9}{10}\) – \(\frac{7}{8}\)
Answer:
\(\frac{1}{40}\).
Explanation:
\(\frac{9}{10}\) – \(\frac{7}{8}\)
Let us solve the given expression.
Find the LCM of 10, 8
And LCM of 10, 8 is 40.
\(\frac{36}{40}\) – \(\frac{35}{40}\)
\(\frac{1}{40}\).
Question 10.
\(\frac{1}{6}\) + \(\frac{5}{12}\)
Answer:
\(\frac{7}{12}\).
Explanation:
\(\frac{1}{6}\) + \(\frac{5}{12}\)
Let us solve the given expression.
Find the LCM of 6, 12
And LCM of 6, 12 is 12.
\(\frac{2}{12}\) + \(\frac{5}{12}\)
\(\frac{7}{12}\).
Multiply Fractions
Find each product.
Question 11.
\(\frac{3}{4}\) × \(\frac{5}{8}\)
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Answer:
\(\frac{15}{32}\).
Explanation:
\(\frac{3}{4}\) × \(\frac{5}{8}\)
Let us solve the given expression.
\(\frac{15}{32}\).
Question 12.
\(\frac{5}{6}\) × \(\frac{9}{10}\)
_______________
Answer:
\(\frac{3}{4}\).
Explanation:
\(\frac{5}{6}\) × \(\frac{9}{10}\)
Let us solve the given expression.
\(\frac{45}{60}\).
\(\frac{15}{20}\).
\(\frac{3}{4}\).
Question 13.
\(\frac{1}{2}\) × \(\frac{1}{4}\)
_______________
Answer:
\(\frac{1}{8}\).
Explanation:
Let us solve the given equation.
\(\frac{1}{2}\) × \(\frac{1}{4}\)
\(\frac{1}{8}\).
Divide with Unit Fractions and Whole Numbers
Find each quotient.
Question 14.
6 ÷ \(\frac{1}{3}\)
Answer:
18
Explanation:
Let us solve the given expression
6 ÷ \(\frac{1}{3}\)
6 × 3
18.
Question 15.
1 ÷ \(\frac{1}{10}\)
Answer:
10.
Explanation:
Let us solve the given expression.
1 ÷ \(\frac{1}{10}\)
1 × 10
10.
Question 16.
\(\frac{1}{4}\) ÷ 6
Answer:
\(\frac{1}{24}\).
Explanation:
let us solve the given expression.
\(\frac{1}{4}\) ÷ 6
\(\frac{1}{4}\) × \(\frac{1}{6}\)
\(\frac{1}{24}\).