We included **HMH Into Math Grade 4 Answer Key PDF** **Module 16 Multiply Fractions by Whole Numbers **to make students experts in learning maths.

## HMH Into Math Grade 4 Module 16 Answer Key Multiply Fractions by Whole Numbers

**Which group ate the most pizza?**

Write an addition equation with unit fractions that represents how much pizza is eaten in each situation. Then shade the fraction circles to show the amount of pizza eaten. All of the pizzas are the same size.

3 friends eat one slice each from a 6-slice pizza.

Answer:

\(\frac{3}{6}\)

Explanation:

When the unit fractions have like denominators,

we add the numerators and put the result over the common denominator to get the answer.

The whole is divided into 6 parts, out of which 3 parts were eaten.

\(\frac{3}{6}\) + \(\frac{3}{6}\) = \(\frac{6}{6}\) = 1 pizza.

3 friends eat one slice each from an 8-slice pizza.

Answer:

\(\frac{3}{8}\)

Explanation:

When the unit fractions have like denominators,

we add the numerators and put the result over the common denominator to get the answer.

The whole is divided into 8 parts, out of which 3 parts were eaten.

\(\frac{3}{8}\) + \(\frac{5}{8}\) = \(\frac{8}{8}\) = 1 pizza.

3 friends eat one slice each from a 10-slice pizza.

Answer:

\(\frac{3}{10}\)

Explanation:

When the unit fractions have like denominators,

we add the numerators and put the result over the common denominator to get the answer.

The whole is divided into 10 parts, out of which 3 parts were eaten.

\(\frac{3}{10}\) + \(\frac{7}{10}\) = \(\frac{10}{10}\) = 1 pizza.

Which group ate the most pizza?

Answer:

First group ate more.

Explanation:

In each group size of pizza is same, but the number of slices are different.

So, first group ate more as the pizza is divided into 6 parts only.

**Turn and Talk**

How can you find what fraction of the pizza is left in each situation?

Answer:

Subtract the slices of the pizza from the whole.

Explanation:

Each pizza is divided into 6, 8 and 10 parts.

Out of which 3 slices were eaten by each of them.

= \(\frac{3}{6}\)

= \(\frac{3}{8}\)

= \(\frac{3}{10}\)

**Are You Ready?**

Complete these problems to review prior concepts and skills you will need for this module.

**Relate Addition to Multiplication**

Draw equal groups. Find the sum. Then find the product.

Question 1.

2 groups of 3

3 + 3 = _________

2 × 3 = _________

Answer:

3 + 3 = 6

2 × 3 = 6

Explanation:

Multiplication is the repeated addition of one number.

So, when we multiply 2 by 3, we are adding 2 three times,

2 x 3 = 3 + 3

Question 2.

3 groups of 4

4 + 4 + 4 = _________

3 × 4 = _________

Answer:

4 + 4 + 4 = 12

3 × 4 = 12

Explanation:

Multiplication is the repeated addition of one number.

So, when we multiply 3 by 4, we are adding 3 four times,

3 x 4 = 4 + 4 + 4

**Read and Write Mixed Numbers**

Write a fraction greater than 1 and a mixed number for the shaded parts.

Question 3.

Fraction: ________

Mixed number: _________

Answer:

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

1\(\frac{2}{3}\)

Explanation:

1\(\frac{2}{3}\) is greater than 1.

Question 4.

Fraction: ________

Mixed number: _________

Answer:

\(\frac{11}{12}\)

2\(\frac{3}{4}\)

Explanation:

2\(\frac{11}{12}\) is greater than 1.

**Represent Fractions and Mixed Numbers**

Question 5.

Mei has 3 boxes of color pencils. Each box has 6 pencils. She uses all the pencils in 2 of the boxes and 4 pencils in the other box. What mixed number names the number of boxes of pencils that Mei uses?

Answer:

\(\frac{16}{18}\)

2\(\frac{4}{6}\)

Explanation:

1 box = 1

Mei has 3 boxes of color pencils = 3

Each box has 6 pencils = 3 x 6 = 18

She uses all the pencils in 2 of the boxes and 4 pencils in the other box = 16

18 – 16 = 2

\(\frac{16}{18}\)

2\(\frac{4}{6}\)