All the solutions provided inÂ **McGraw Hill My Math Grade 3 Answer Key PDF Chapter 10 Lesson 3 Part of a Set **will give you a clear idea of the concepts.

## McGraw-Hill My Math Grade 3 Answer Key Chapter 10 Lesson 3 Part of a Set

Fractions can also be used to name part of a set.

**Math in My World**

**Example 1**

Mrs. Maynard gave each group of students 2 yellow and 4 red markers. What fraction of the set of markers is yellow?

1. Use a set of 6 counters to represent the set of 6 markers.

2. Draw and color the counters on the fraction below to represent the fraction of yellow counters.

So, the fraction of yellow markers is .

Answer:

Given that,

The total number of yellow markers are 2.

The total number of red markers are 4.

The total number of markers are 2 + 4 = 6.

Therefore the fraction of yellow markers is 2/6

**Example 2**

Cody told his four dogs to sit. What fraction of the set of dogs listened to Cody?

The yellow counters represent the sitting dogs. The red counter represents the standing dog.

3 dogs, out of a total of ____________ dogs, are sitting.

Read: three-fourths

So, or ___________ fourths, of the dogs obeyed.

What fraction of the set of dogs did not listen to Cody?

____________ dog, out of a total of 4 dogs, is standing.

So, or one- ____________ of the dogs did not listen to Cody.

Answer:

Given that,

The total number of dogs are 4.

The total number of dogs sitting are 3.

3 dogs, out of a total of 4 dogs, are sitting.

The fraction of the dogs are 3/4 or three fourth, of the dogs obeyed.

The 1 dog, out of a total of 4 dogs, is standing.

1/4 or one fourth of the dogs did not listen to Cody.

**Talk Math**

How is finding the fraction of a set different than finding the fraction of one whole?

Answer:

Fractions are equal parts of a whole object. To write a fraction the numerator is the part and denominator is the whole. Fractions can be equivalent to one another it means the same value has one other.

**Guided Practice**

**Complete the chart Write a fraction for each part.**

Answer:

**Independent Practice**

**Write each fraction.**

Question 3.

What fraction of the set of daisies is yellow?

Answer:

Given that,

The total number of daisies is 4.

The total number of yellow daisies is 4.

The fraction of the set of daisies is yellow are 4/4.

Question 4.

What fraction of the set of buttons is round?

Answer:

Given that,

the total number of buttons are 6.

The total number of round buttons are 4.

The fraction of the set of buttons is round is 4/6.

Question 5.

What fraction of the set of chairs is not blue?

Answer:

Given that,

The total number of chairs are 4.

The total number of blue chairs are 2.

The total number of 2 yellow chairs are 2.

Therefore the fraction of the set of chairs is not blue is 2/4.

Question 6.

What fraction of the set of seashells is purple?

Answer:

Given that the total number of seashells is 3.

The total number of red seashells is 1.

The total number of yellow seashells is 1.

The total number of purple seashells is 1.

therefore the fraction of seashells is purple are 1/3.

**Shade each set to represent the fraction.**

Question 7.

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

Answer:

Given that,

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

The diagram represents the fraction is 1/2.

Question 8.

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

Answer:

Given that,

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

The diagram represents the fraction is 3/4.

Question 9.

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

Answer:

Given that,

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

The diagram represents the fraction is 4/6.

Question 10.

\(\frac{5}{8}\) shaded

Answer:

Given that,

\(\frac{5}{8}\)

**Write the missing numerator or denominator.**

Question 11.

What fraction of the set of spools of thread is red?

Answer:

Given that,

The total number of spools of thread is 3.

The total red spools of thread is 2.

the total number of not red spools is 1.

The fraction of the set of spools of thread is red is 2/3.

The missing numerator is 2.

Question 12.

What fraction of the set of cups is yellow?

Answer:

Given that,

The total number of cups is 4.

The total number of yellow cups is 3.

The total number of not yellow cups is 1.

The fraction of the set of cups is yellow is 3/4.

The missing denominator is 4.

**Problem Solving**

**Use the picture of the fruit to answer Exercises 13-16.**

Question 13.

There are 8 pieces of fruit in the set. Circle the word used to describe all 8 pieces of fruit.

numerator

denominator

Answer:

Given that,

The total number of fruits is 8.

Question 14.

What fraction of the set of fruit is not an apple?

Answer:

Given that the total number of fruits is 8.

The total number of fruits that are not apple is 6.

Therefore of the set of fruits is not an apple is 6/8.

Question 15.

Suppose Kyle ate one pear. What fraction of the pears did Kyle eat?

Answer:

Given that,

The total number of Pear is 2.

Kyle eat 1 pear.

The fraction of the Pears that Kyle eat is 1/2.

Question 16.

**Mathematical PRACTICE** Reason Describe which pieces of fruit can be represented by the fraction \(\frac{5}{28}\).

Answer:

Given that,

The fraction is \(\frac{5}{28}\).

It represents the total number of fruits are 28.

The total number of fruits are eaten is 5.

This sentences represents the fraction.

**HOT Problems**

Question 17.

**Mathematical PRACTICE** Model Math Draw a set of objects that represents a fraction with a numerator of 4. Write the fraction.

Answer:

Given that,

The fraction with a numerator of 4.

In the diagram there are 8 squares. It is in the denominator.

The shaded squares are 4 it is in the numerator.

Therefore the fraction of the diagram is 4/8.

Question 18.

**Building on the Essential Question** How is finding a fractional part of a set different than finding a fractional part of a whole?

Answer:

Fractions are equal parts of a whole object. To write a fraction the numerator is the part and denominator is the whole. Fractions can be equivalent to one another it means the same value has one other.

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

**Practice**

**Shade each set to represent the fraction.**

Question 1.

Answer:

The total number of circles is 4.

The shaded circles is 3.

The shaded part represents the fraction is 3/4.

Question 2.

Answer:

The total number of circles are 6.

The shaded circles is 4.

The shaded part represents the fraction is 4/6.

Question 3.

Answer:

The total number of circles are 3.

The shaded circles is 2.

The shaded part represents the fraction is 2/3.

Question 4.

Answer:

The total number of circles are 2.

The shaded circles is 1.

The shaded part represents the fraction is 1/2.

Question 5.

Write a fraction for each part.

part that is red part that is not red.

Answer:

Given that,

The total number of leaves is 8.

The total number of red leaves is 6.

The total number of green leaves is 2.

The fraction part that is red is 6/8.

The fraction part that us not red is 2/8.

Question 6.

What fraction of the set of balloons is green?

Answer:

Given that,

The total number of balloons are 3.

The total number of green balloons is 1.

The total number of red balloons is 2.

Therefore the fraction of the set of balloons is green is 2/3.

Question 7.

What fraction of the set of books is blue?

Answer:

Given that,

The total number of books is 6.

The total number of blue books is 3.

The total number of red books is 3.

Therefore the fraction of the set of the books is blue is 3/6.

Question 8.

What fraction of the set of bees is flying away?

Answer:

Given that,

The total number of bees is 7.

The total number of beans flying on flower is 5.

The number of beans flying away is 3.

Therefore the fraction of the set of bees flying away is 3/7.

Question 9.

What fraction of the set of signs is square?

Answer:

Given that,

The total number of signs is 4.

The total number of square signs is 2.

Therefore the fraction of the set of signs is square is 2/4 = 1/2.

**Problem Solving**

Question 10.

Ramona writes each letter of her first name on separate index cards. What fraction of the cards has a vowel?

Answer:

Given that,

The Ramona writes each letter of her first name on separate index cards.

The total number of letters are 6.

The total number of vowels are 3

Therefore the fraction of the cards has a vowel is 3/6.

Question 11.

**Mathematical PRACTICE** Keep Trying Bryan has 3 nickels, 3 dimes, and 2 quarters. What fraction of the coins is either a dime or a quarter?

Answer:

Given that,

The total number of nickels near Bryan is 3.

The total number of dimes near Bryan is 3.

The total number of quarters near Bryan is 2.

The total number of coins is 3 + 3 + 2 = 8.

Therefore the fraction of the coins is either a dime or a quarter is 3/8 + 2/8 = 5/8.

Question 12.

The Morse family went shoe shopping. Harry got a pair of rain boots and a pair of tennis shoes. Kate got a pair of tennis shoes and a pair of sandals. What fraction of the set of new shoes is rain boots?

Answer:

Given that,

Harry got a pair of rain boots and a pair of tennis shoes.

Kate got a pair of tennis shoes and a pair of sandals.

Therefore the fraction of the set of new shoes is rain boots = 1/(2 + 2) = 1/4.

**Test Practice**

Question 13.

What fraction of the birds are on the window sill?

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

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

(C) \(\frac{4}{8}\)

(D) \(\frac{5}{8}\)

Answer:

Given that,

The total number of birds is 8.

The total number of birds on the window is 5.

The total number of birds flying is 3.

The fraction of the birds are on the window sill is \(\frac{5}{8}\).

Option D is the correct answer.