We included HMH Into Math Grade 5 Answer Key PDF Module 8 Lesson 4 Represent Multiplication of Fractions to make students experts in learning maths.
HMH Into Math Grade 5 Module 8 Lesson 4 Answer Key Represent Multiplication of Fractions
I Can multiply fractions using a visual model.
Spark Your Learning
Alejandro and Prisha are practicing their soccer skills. Alejandro kicks his soccer ball \(\frac{4}{5}\) of the length of the field. Prisha kicks her ball \(\frac{3}{4}\) of the distance Alejandro kicks his ball. How far down the soccer field does Prisha kick her ball?
Answer:
Prisha kicks her ball by \(\frac{3}{5}\) distance.
Explanation:
Given that Alejandro kicks his soccer ball \(\frac{4}{5}\) of the length of the field and Prisha kicks her ball \(\frac{3}{4}\) of the distance Alejandro kicks his ball. So Prisha kicks her ball \(\frac{4}{5}\) × \(\frac{3}{4}\) which is \(\frac{3}{5}\) distance.
Draw a visual model to show how far down the soccer field Prisha kicks her ball.
Answer:
Turn and Talk How could you determine that Prisha kicked the ball a lesser distance than Alejandro without solving the problem?
Build Understanding
1. Prisha has been practicing her kicking skills so that she can beat Alejandro. During another practice she kicks her soccer ball \(\frac{5}{6}\) of the length of the field. Alejandro kicks
his soccer ball \(\frac{4}{5}\) of the distance Prisha kicks her ball.
Use the number line to show how far down the soccer field Alejandro kicks his ball.
Answer:
\(\frac{4}{5}\).
Explanation:
The distance that Alejandro kicks his ball is \(\frac{4}{5}\).
A. What does the 1 on the number line represent?
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Answer:
The whole soccer field.
Explanation:
The 1 on the number line represents the whole soccer field.
B. How did you represent Prisha’s distance?
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Answer:
\(\frac{5}{6}\).
Explanation:
The Prisha’s distance is represents as \(\frac{5}{6}\).
C. How did you represent Aejandro’s distance?
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Answer:
\(\frac{4}{5}\).
Explanation:
The Prisha’s distance is represents as \(\frac{4}{5}\).
2. After soccer, Prisha and Alejandro are hungry. Prisha eats \(\frac{6}{8}\) of a granola bar. Alejandro eats \(\frac{2}{3}\) as much as Prisha eats.
Answer:
The fraction of a whole granola bar that Alejandro eats is \(\frac{1}{2}\).
Explanation:
Given that Prisha eats \(\frac{6}{8}\) of a granola bar and Alejandro eats \(\frac{2}{3}\) as much as Prisha eats. So the fraction of a whole granola bar that Alejandro eats is \(\frac{6}{8}\)×\(\frac{2}{3}\) which is \(\frac{1}{2}\).
Draw a visual model to show the fraction of a whole granola bar that Alejandro eats.
A. How much of a whole granola bar does Alejandro eat? How does your visual model show this?
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Answer:
\(\frac{1}{2}\).
Explanation:
Alejandro eats is \(\frac{6}{8}\)×\(\frac{2}{3}\) which is \(\frac{1}{2}\).
B. Write an equation to model the problem.
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Answer:
\(\frac{6}{8}\)×\(\frac{2}{3}\) = \(\frac{1}{2}\).
Explanation:
The equation is \(\frac{6}{8}\)×\(\frac{2}{3}\) = \(\frac{1}{2}\).
Check Understanding Math Board
Question 1.
Jake’s family eats \(\frac{3}{8}\) of a pan of banana bread. Emily’s family eats of the amount that Jake’s family eats. How much of a whole pan of banana bread does Emily’s family eat? Write an equation to model the problem.
Answer:
On Your Own
Question 2.
Reason A recipe for honey-glazed chicken calls for \(\frac{3}{4}\) cup of honey. Marcel wants to make of \(\frac{2}{3}\) a batch of the recipe. Use the number line to find the amount of honey that he needs. Write an equation to model the problem.
Answer:
\(\frac{1}{2}\).
Explanation:
Given that a recipe for honey-glazed chicken calls for \(\frac{3}{4}\) cup of honey and Marcel wants to make of a batch of the recipe. So the equation is \(\frac{3}{4}\) × \(\frac{2}{3}\) which is \(\frac{1}{2}\).
Question 3.
Model with Mathematics Write a story problem that can be modeled with the equation \(\frac{1}{4}\) × \(\frac{8}{12}\) = 4 Then draw a visual model to represent the problem.
Answer:
Draw a visual model to solve.
Question 4.
\(\frac{5}{6}\) × \(\frac{6}{7}\) = _____
Answer:
\(\frac{5}{6}\) × \(\frac{6}{7}\) = \(\frac{5}{7}\).
Explanation:
Given the equation is \(\frac{5}{6}\) × \(\frac{6}{7}\) which is \(\frac{5}{7}\).
Question 5.
\(\frac{2}{3}\) × \(\frac{9}{10}\) = _____
Answer:
\(\frac{2}{3}\) × \(\frac{9}{10}\) = \(\frac{3}{5}\).
Explanation:
Given the equation is \(\frac{2}{3}\) × \(\frac{9}{10}\) which is \(\frac{3}{5}\).
I’m in a Learning Mindset!
How did the feedback I provided for making visual models affect others in my class?