All the solutions provided in McGraw Hill My Math Grade 3 Answer Key PDF Chapter 10 Lesson 2 Part of a Whole will give you a clear idea of the concepts.
McGraw-Hill My Math Grade 3 Answer Key Chapter 10 Lesson 2 Part of a Whole
Math in My World
Example 1
The background paper of Mrs. Dempsey’s bulletin board ¡s divided equally into four stripes. What fraction of the bulletin board is green?
Use a model.
The bulletin board represents one whole. The whole is divided into 4 equal parts, or fourths. Use fraction tiles to model the equal parts of the bulletin board. Trace the tiles. Color one part green.
The numerator tells the number of equal parts being represented.
The denominator tells the total number of equal parts.
So, \(\frac{1}{4}\), or one- ___________, of the bulletin board is ______________.
Answer:
So, \(\frac{1}{4}\), or one- fourth, of the bulletin board is green.
Example 2
What fraction of the flag is red?
Write: 
Read: ___________-thirds
So, \(\frac{2}{3}\), or two- ____________ of the flag is ____________.
Explain why \(\frac{2}{3}\) is not a unit fraction.
Answer:
2/3
Read: Two-thirds
So, \(\frac{2}{3}\), or two- third of the flag is red.
Talk Math
What is the difference between the numerator and the denominator of a fraction?
Answer:
A value that is placed above the horizontal line in a fraction is called a numerator. It signifies the number of parts taken out of the whole. The numeric value below the vinculum of a fraction is called the denominator. The denominator represents the total number of equal parts as a whole.
Guided Practice
Complete the chart Write a fraction for each part.
Answer:
Independent Practice
Complete the chart Write a fraction for each part.
Answer:
Question 6.
What fraction of the honeycomb has bees?
Answer:
In the given figure 5 bees are in 8 parts of the honeycomb
So, the fraction of the honeycomb has bees is \(\frac{5}{6}\)
Question 7.
What fraction of the figure is not shaded?
Answer:
In the given figure 2 parts are shaded out of 3.
So, the fraction of the figure is not shaded is \(\frac{1}{3}\)
Shade each figure to represent the fraction.
Question 8.
\(\frac{2}{4}\)
Answer:
In the given figure 2 parts are shaded out of 4.
So, the fraction is \(\frac{2}{4}\)
Question 9.
\(\frac{2}{8}\)
Answer:
In the given figure 2 parts are shaded out of 8.
So, the fraction is \(\frac{2}{8}\)
Question 10.
\(\frac{2}{2}\)
Answer:
In the given figure 2 parts are shaded.
So, the fraction is \(\frac{2}{2}\)
Match each fraction to its word name.
Answer:
The name of the fractions are matched in the below figure.
Problem Solving
Mathematical PRACTICE Use Math Tools The primary colors are red, blue, and yellow. The secondary colors are green, orange, and violet. Use the color wheel to answer Exercises 14-17.
Question 14.
What fraction of the primary and secondary colors is red?
Answer:
The fraction of the primary and secondary colors is red 1/6
Question 15.
What fraction is blue or orange?
Answer: The fraction is blue or orange is 2/6 or 1/3
Question 16.
What fraction is not violet?
Answer: The fraction is not violet is 5/6.
Question 17.
What fraction of colors is not a primary color?
Answer: The fraction of colors is not a primary color is 3/6.
HOT Problems
Question 18.
Mathematical PRACTICE Model Math Draw and shade a model to represent the fraction \(\frac{3}{4}\).
Answer:
The above figure is divided into 4 equal parts.
3 parts are shaded among them.
So, the fraction of the shaded part is \(\frac{3}{4}\).
Question 19.
Building on the Essential Question Explain how to write a fraction to describe part of a whole.
Answer: A fraction is written vertically as two numbers with a line between them. The denominator represents the number of equal parts that make up the whole. The numerator describes the number of parts that you are describing.
McGraw Hill My Math Grade 3 Chapter 10 Lesson 2 My Homework Answer Key
Practice
Complete the chart. Write a fraction for each part.
Answer:
Shade each figure to represent the fraction.
Question 3.
\(\frac{4}{6}\)
Answer:
In the given figure 4 part is shaded among 6.
So, the fraction is 4/6
Question 4.
\(\frac{3}{3}\)
Answer:
In the given figure 3 part is shaded among 3.
So, the fraction is 3/3 = 1
Question 5.
\(\frac{5}{8}\)
Answer:
In the given figure 5 part is shaded among 8.
So, the fraction is 5/8
Question 6.
\(\frac{1}{4}\)
Answer:
In the given figure 1 part is shaded among 4.
So, the fraction is 1/4
Question 7.
Mathematical PRACTICE Stop and Reflect In Exercises 3-6, circle the unit fraction. Write the fraction below. Explain why it is a unit fraction.
Answer:
A unit fraction is a rational number written as a fraction where the numerator is one and the denominator is a positive integer.
In the given figures only one part is shaded so the fraction will be called as the unit fraction.
Problem Solving
Question 8.
A loaf of bread is cut into 8 equal slices. What fraction of the bread is left after 6 slices have been used for sandwiches?
Answer:
Given,
A loaf of bread is cut into 8 equal slices.
The fraction of the bread is left after 6 slices have been used for sandwiches is \(\frac{6}{8}\)
Question 9.
Kristen made a pinwheel with 6 points. She colored 1 point red, 2 points blue, and 3 points purple. What fraction of the points are neither red nor purple?
Answer:
Given,
Kristen made a pinwheel with 6 points. She colored 1 point red, 2 points blue, and 3 points purple.
Points are neither red nor purple = 2
So, the fraction of the points are neither red nor purple is \(\frac{2}{6}\)
Vocabulary Check
Draw a line to match the vocabulary term with its meaning.
Answer:
Test Practice
Question 12.
Which fraction of the figure is yellow?
(A) \(\frac{2}{8}\)
(B) \(\frac{2}{6}\)
(C) \(\frac{1}{2}\)
(D) \(\frac{3}{6}\)
Answer:
In the above figure, 2 parts are shaded in yellow.
So, the fraction is \(\frac{2}{6}\)
Option B is correct.