Comparing and Ordering Fractions, Decimals, and Percents

This lesson covers comparing and ordering fractions, decimals, and percents. It begins with an introduction to the concept of least common denominators (LCD) and provides a step-by-step guide for comparing fractions. The lesson includes examples and practice problems to reinforce the concepts. It also explains how to convert fractions, decimals, and percents to a common format for easier comparison. The lesson concludes with additional practice problems to test understanding.

What is the first step in comparing fractions?

• Compare the numerators directly

• Find the greatest common divisor

• Find the least common denominator

• Convert fractions to decimals

What is the least common denominator (LCD) of 5/8 and 7/12?

• 12

• 8

• 24

• 16

In the example comparing 5/8 and 7/12, what is the equivalent fraction of 5/8 with a denominator of 24?

• 25/24

• 15/24

• 10/24

• 20/24

When ordering the fractions 1/2, 9/14, 3/4, and 5/7 from least to greatest, what is the LCD used?

• 14

• 28

• 21

• 35

Which fraction is the smallest when ordering 1/2, 9/14, 3/4, and 5/7 using the LCD?

• 1/2

• 5/7

• 9/14

• 3/4

What is the common denominator for the fractions 2/3 and 4/9?

• 12

• 6

• 3

• 9

Which fraction is greater: 2/3 or 4/9?

• 2/3

• Cannot be determined

• 4/9

• They are equal

How can you convert fractions and percents to decimals for easier comparison?

• By finding the LCD

• By adding a zero

• By dividing the numerator by the denominator

• By multiplying by 100

What is the decimal equivalent of 3/4?

• 0.5

• 0.8

• 0.6

• 0.75

If Lucita made 85% of her free throws and Henry made 7/8 of his, who has the better average?

• They are equal

• Cannot be determined

• Lucita

• Henry