Course 2, Lesson 4-2

Write each fraction or mixed number as a decimal. Use bar notation if the decimal is a repeating decimal.

1.

2.

3.

Write each decimal as a fraction or mixed number in simplest form.

4. 1.2

5. 0.15

6. What is 2.65 as a fraction in simplest form?

Course 2, Lesson 4-2

ANSWERS

1. 2.6

2. 0.625

3.

4.

5.

6.

Course 2, Lesson 4-2

WHAT happens when you add,

subtract, multiply, and divide fractions?

• To compare rational numbers
• To order rational numbers

Course 2, Lesson 4-2

Lesson 2

• rational number
• common denominator
• least common denominator

Course 2, Lesson 4-2

1

2

3

Step-by-Step Example

1.

Fill in the with <, >, or = to make –1 –1

a true sentence.

Graph each rational number on a number line.

Mark off equal-size increments of between –2 and –1.

The number line shows that –1 < –1 .

Answer

Need Another Example?

Fill in the with <, >, or = to make

–3 –3 a true sentence.

>

1

2

3

4

Step-by-Step Example

2.

Fill in the with <, >, or = to make

a true sentence.

The LCD of the denominators 12 and 18 is 36.

Since > , > .

Answer

Need Another Example?

Fill in the with <, >, or = to make

a true sentence.

<

1

2

3

4

Step-by-Step Example

3.

In Mr. Huang’s class, 20% of students own roller shoes.

In Mrs. Trevino’s class, 5 out of 29 students own roller

shoes. In which class does a greater fraction of students

own roller shoes?

Express each number as a decimal and then compare.

More students in Mr. Huang’s class own roller shoes.

20% = 0.2

= 5 ÷ 29 ≈ 0.1724

Since 0.2 > 0.1724, 20% > .

Answer

Need Another Example?

In a football game, the quarterback completed 11 out of 19 passes. The next week, he completed 60% of his passes. During which game did he complete the greater fraction of his passes?

the second game

1

2

3

Step-by-Step Example

4.

Order the set {3.44, π, 3.14, 3.4 } from least to greatest.

Line up the decimal points and compare using place value.

So, the order of the numbers from least to greatest is

3.14, π, 3.44, and 3.4.

3.140

Since 0 < 1, 3.14 < π.

Annex a zero.

3.1415926…

π ≈ 3.1415926…

3.440

Annex a zero.

3.444...

3.4 = 3.444…

Since 0 < 4, 3.44 < 3.4.

Answer

Need Another Example?

Order the set , 0.6, 0.72, and from least to greatest.

0.6, , , 0.72

1

2

3

Step-by-Step Example

5.

Nolan is the quarterback on the football team. He completed

67% of his passes in the first game. He completed 0.64, , and

69% of his passes in the next three games. List Nolan’s completed

passing numbers from least to greatest.

Express each number as a decimal and then compare.

Nolan’s completed passing numbers from least to greatest are

, 0.64, 67%, and 69%.

67% = 0.67

0.64 = 64%

= 0.6

69% = 0.69

Answer

Need Another Example?

Maddie is a guard on the basketball team. She made 70% of her field goals in the first game.

She made 0.62, , and 66% of her field goals in

the next three games. List Maddie’s made field goal statistics from least to greatest.

0.62, 66%, 70%,

How did what you learned

today help you answer the

WHAT happens when you add,

subtract, multiply, and divide fractions?

Course 2, Lesson 4-2

How did what you learned

today help you answer the

WHAT happens when you add,

subtract, multiply, and divide fractions?

Course 2, Lesson 4-2

Sample answers:

• In this lesson I learned to graph rational numbers on a number line, find common denominators when comparing fractions, and use place value when ordering rational numbers.

​

Explain how you would compare each pair of fractions.

​

and

and

​

Course 2, Lesson 4-2

Ratios and Proportional Relationships