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

Vocabulary Check

Draw lines to match each with its definition.

Concepts Check

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

Question 6.

____________ equal parts
unit fraction: _____________
The circle is divided into three equal parts.

The unit fraction is 1/3

Question 7.

____________ equal parts
unit fraction: _____________
The rectangle is divided into 6 equal parts.

The unit fraction is 1/6.

Write the missing numerator or denominator to show the shaded part.

Question 8.

There are 4 starts and out of them 3 are shaded.
So, the fraction is 3/4.

Question 9.

There are 6 leaves.
So, the fraction is 4/6.

Question 10.
Write the point that represents the fraction. $$\frac{6}{8}$$ is represented by point _____________.

$$\frac{6}{8}$$ is represented by point C.

Complete each number sentence to show equivalent fractions.

Question 11.

The equivalent fraction of 2/4 is 4/8

Question 12.

The equivalent fraction of 2/3 is 4/6

Write each whole number as a fraction.

Question 13.
3 =
3 = 9/3
The whole number 3 in the fraction form can be written as 9/3.

Question 14.
6 =
6 = 18/3
The whole number 6 in the fraction form can be written as 18/3

Question 15.
4 =
4 = 24/6
The whole number 4 in the fraction form can be written as 24/6

Use the models to compare. Use >, <,or =.

Question 16.

The denominators of the fraction are same.
The numerator with the highest number will be the greatest fraction.
1/8 < 3/8

Question 17.

2/4 >2/6
The denominator with the highest number will be the smallest fraction.

Problem Solving

Question 18.
Emma has 3 black cats and 1 gray cat. What fraction of the set of cats is gray?
Given,
Emma has 3 black cats and 1 gray cat.
The fraction of the set of cats is gray is 1/3

Question 19.
Lucy walks $$\frac{3}{4}$$ of a mile. Sergio walks $$\frac{3}{6}$$ of a mile. Who walks farther?
Given,
Lucy walks $$\frac{3}{4}$$ of a mile.
Sergio walks $$\frac{3}{6}$$ of a mile.
The denominator with the highest number will be the smallest fraction.
$$\frac{3}{4}$$ > $$\frac{3}{6}$$
Thus Lucy walks farther than Sergio.

Solve Exercises 20 and 21 by drawing a diagram.

Question 20.
A music CD tower can hold 10 compact discs. One-half of the slots are filled with CDs. How many CDs are in the CD tower?
Given,
A music CD tower can hold 10 compact discs. One-half of the slots are filled with CDs.
10 × 1/2 = 5
Thus there are 5 CDs in the CD tower.

Question 21.
There are 16 students in the school play. One-fourth of the students are wearing yellow costumes. Six students are wearing purple costumes. The remaining students are wearing orange costumes. How many students are wearing orange costumes?
Given,
There are 16 students in the school play. One-fourth of the students are wearing yellow costumes.
16 × 1/4 = 4
4 students are wearing yellow costumes.
Six students are wearing purple costumes.
4 + 6 = 10
So, 6 students are wearing orange costumes.

Test Practice

Question 22.
Melinda and Ruben are playing tic-tac-toe. Melinda has Xs in one-third of the 9 places. Ruben has Os in 2 of the places. How many squares are empty?
(A) 3 squares
(B) 4 squares
(C) 7 squares
(D) 11 squares
Given,
Melinda and Ruben are playing tic-tac-toe. Melinda has Xs in one-third of the 9 places.
1/3 × 9 = 3 places
3 + 2 = 5
9 – 5 = 4
Thus 4 squares are empty.
Option B is the correct answer.

Reflect

Use what you learned about fractions to complete the graphic organizer.