All the solutions provided in **McGraw Hill My Math Grade 3 Answer Key PDF Chapter 10 Lesson 1 Unit Fractions **will give you a clear idea of the concepts.

## McGraw-Hill My Math Grade 3 Answer Key Chapter 10 Lesson 1 Unit Fractions

A fraction is a number that represents an equal part of a whole or equal part of a set.

**Math in My World**

**Example 1**

Danny shared his granola bar with Steph. He broke it into two equal pieces. What fraction of the granola bar did each receive?

Model the whole granola bar.

Place two equal-sized fraction tiles so that the combined length is equal to one whole.

What fraction tiles did you place? tiles

So each person received , of a whole granola bar.

A unit fraction represents one equal part of the whole. The top number of a unit fraction is 1.

Answer:

Danny shared his granola bar with Steph. He broke it into two equal pieces.

So each person received \(\frac{1}{2}\), of a whole granola bar.

**Example 2**

One whole is divided into four equal parts. What unit fraction represents one equal part of the whole?

Write the unit fraction.

The unit fraction is , or one-fourth.

Answer:

The unit fraction is 1/4 or one-fourth

**Example 3**

Ian made a loaf of bread as his final project in health class. He divided the loaf equally among some students. Each student received \(\frac{1}{8}\) of the loaf. Into how many equal parts did Ian cut the loaf?

Use the fraction tiles to model one whole and one whole divided into equal parts. Draw your models.

Count the equal parts. There are equal parts.

Label each equal-sized part \(\frac{1}{8}\) ← one part of eight or one-eighth

So, Ian cut the loaf into ______________ equal parts, or eighths.

Answer:

So, Ian cut the loaf into 8 equal parts, or eighths.

**Talk Check**

What is a unit fraction?

Answer: A unit fraction can be defined as a fraction whose numerator is 1.

**Guided Practice**

**Divide the whole into equal parts. Then label each part with its unit fraction.**

Question 1.

2 equal parts

Answer:

The given figure is divided into 2 equal parts.

The unit fraction is \(\frac{1}{2}\)

Question 2.

4 equal parts

Answer:

The given figure is divided into 4 equal parts.

The unit fraction is \(\frac{1}{4}\)

Question 3.

8 equal parts

Answer:

The given figure is divided into 8 equal parts.

The unit fraction is \(\frac{1}{8}\)

**Independent Practice**

**Divide the whole into equal parts. Then label each part with its unit fraction.**

Question 4.

3 equal parts

Answer:

The given figure is divided into 3 equal parts.

The unit fraction is \(\frac{1}{3}\)

Question 5.

6 equal parts

Answer:

The given figure is divided into 6 equal parts.

The unit fraction is \(\frac{1}{6}\)

**Write how many equal parts. Shade one part Write its unit fraction.**

Question 6.

___________ equal parts

unit fraction:

Answer:

The given figure is divided into 4 equal parts.

The unit fraction is \(\frac{1}{4}\)

Question 7.

___________ equal parts

unit fraction:

Answer:

The given figure is divided into 2 equal parts.

The unit fraction is \(\frac{1}{2}\)

Question 8.

___________ equal parts

unit fraction:

Answer:

The given figure is divided into 3 equal parts.

The unit fraction is \(\frac{1}{3}\)

Question 9.

___________ equal parts

unit fraction:

Answer:

The given figure is divided into 3 equal parts.

The unit fraction is \(\frac{1}{3}\)

**Circle the correct unit fraction for the shaded section of each model.**

Question 10.

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

\(\frac{1}{4}\)

Answer:

In the given figure 4 parts are divided and 1 part is shaded.

So, the unit fraction is \(\frac{1}{4}\).

Question 11.

\(\frac{1}{8}\)

\(\frac{1}{6}\)

Answer:

In the given figure 8 parts are divided and 1 part is shaded.

So, the unit fraction is \(\frac{1}{8}\).

Question 12.

\(\frac{1}{5}\)

\(\frac{1}{6}\)

Answer:

In the given figure 6 parts are divided and 1 part is shaded.

So, the unit fraction is \(\frac{1}{6}\).

Question 13.

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

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

Answer:

In the given figure 2 parts are divided and 1 part is shaded.

So, the unit fraction is \(\frac{1}{2}\).

Question 14.

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

\(\frac{1}{4}\)

Answer:

In the given figure 3 parts are divided and 1 part is shaded.

So, the unit fraction is \(\frac{1}{3}\).

Question 15.

\(\frac{1}{5}\)

\(\frac{1}{6}\)

Answer:

In the given figure 6 parts are divided and 1 part is shaded.

So, the unit fraction is \(\frac{1}{6}\).

**Problem Solving**

Question 16.

Max folded a piece of paper in half. Then he folded it in half one more time. How many equal-sized parts did he have when he opened the paper? What unit fraction represents each part?

Answer:

Max folded a piece of paper in half. Then he folded it in half one more time.

Max folded paper into fourths.

The unit fraction represents each part as \(\frac{1}{4}\)

Question 17.

**Mathematical PRACTICE** Use Math Tools Jenny is holding a fraction tile labeled \(\frac{1}{3}\). How many \(\frac{1}{3}\)-fraction tiles are needed to equal the fraction tile labeled 1?

Answer:

Jenny is holding a fraction tile labeled \(\frac{1}{3}\)

You need three unit fractions to equal the fraction tile labeled 1.

Question 18.

Mr. Clinger divided the gymnasium floor into 8 equal sections. Draw lines to divide the whole into equal parts. Then label each part with its unit fraction.

Answer:

Mr. Clinger divided the gymnasium floor into 8 equal sections.

The unit fraction is 1/8.

**HOT Problems**

Question 19.

**Mathematical PRACTICE** Reason How are all unit fractions alike? How are they different?

Answer: Unit fractions all have the same numerators but the denominators can be different.

Question 20.

**Building on the Essential Question** What happens to the size of each equal part when you divide a whole into more and more equal parts?

Answer: It keeps on decreasing when you divide a whole into more and more equal parts.

### McGraw Hill My Math Grade 3 Chapter 10 Lesson 1 My Homework Answer Key

**Practice**

**Divide the whole into equal parts. Then label each part with its unit fraction.**

Question 1.

four equal parts

Answer:

The figure is divided into 4 equal parts

The unit fraction is \(\frac{1}{4}\)

Question 2.

two equal parts

Answer:

The figure is divided into 2 equal parts

The unit fraction is \(\frac{1}{2}\)

Question 3.

six equal parts

Answer:

The figure is divided into 6 equal parts

The unit fraction is \(\frac{1}{6}\)

Question 4.

three equal parts

Answer:

The figure is divided into 3 equal parts

The unit fraction is \(\frac{1}{3}\)

**Write how many equal parts. Shade one part. Write its unit fraction.**

Question 5.

____________ equal parts

unit fraction:

Answer:

The figure is divided into 8 equal parts

The unit fraction is \(\frac{1}{8}\)

Question 6.

____________ equal parts

unit fraction:

Answer:

The figure is divided into 2 equal parts

The unit fraction is \(\frac{1}{2}\)

Question 7.

____________ equal parts

unit fraction:

Answer:

The figure is divided into 4 equal parts

The unit fraction is \(\frac{1}{4}\)

Question 8.

____________ equal parts

unit fraction:

Answer:

The figure is divided into 8 equal parts

The unit fraction is \(\frac{1}{8}\)

**Problem Solving**

Question 9.

**Mathematical PRACTICE** Justify Conclusions Louis has a rectangular piece of construction paper. Can he divide the shape into 4 equal parts? Explain.

Answer: Yes, he can divide a rectangle into 4 equal parts.

**Vocabulary Check**

**Choose the correct word(s) to complete each sentence.**

fraction

unit fraction

Question 10.

A _______________ is exactly one equal part of a whole.

Answer: A **unit fraction** is exactly one equal part of a whole.

Question 11.

A ______________ represents an equal part of a whole.

Answer: A **fraction** represents an equal part of a whole.

**Test Practice**

Question 12.

Which unit fraction represents the shaded part of the whole?

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

(B) \(\frac{1}{4}\)

(C) \(\frac{1}{6}\)

(D) \(\frac{1}{8}\)

Answer:

In the given figure 6 parts are divided and 1 part is shaded.

So, the unit fraction is \(\frac{1}{6}\).