We included **H****MH 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?

___________________

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?

___________________

Answer:

\(\frac{5}{6}\).

Explanation:

The Prisha’s distance is represents as \(\frac{5}{6}\).

C. How did you represent Aejandro’s distance?

___________________

___________________

___________________

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?

__________________________

__________________________

__________________________

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.

__________________________

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?