Download presentation
1
a. The LCM of 4 and 5 is 20, so the LCD is 20.
Example 1 Comparing Fractions 1 2 a. Compare and . 4 5 SOLUTION a. The LCM of 4 and 5 is 20, so the LCD is 20. 5 • 4 1 = 20 4 • 5 2 = 20 8 5 < 8, so < 20 8 5
2
Example 1 Comparing Fractions 4 1 5 2 ANSWER < .
3
b. The LCM of 8 and 12 is 24, so the LCD is 24.
Example 1 Comparing Fractions b. Compare and 8 3 12 5 – SOLUTION b. The LCM of 8 and 12 is 24, so the LCD is 24. 3 • 8 = 24 9 – – 2 • 12 5 = 24 10 9 > 10, so > 24 10 9 –
4
Example 1 Comparing Fractions ANSWER > 8 3 – 12 5
5
What is the order of 2, , , and from least to greatest? – 1 8 5
Example 2 Multiple Choice Practice 3 9 What is the order of 2, , , and from least to greatest? – 1 8 5 5 9 8 3 8 3 5 9 1 – , , , 2 , , , 1 – 2 3 9 3 9 – 1 , , , 2 , , , – 1 2 8 5 8 5 SOLUTION STEP 1 Find the least common denominator of the fractions. The LCM of 8 and 5 is 40, so the LCD is 40.
6
STEP 2 Use the least common denominator to write equivalent fractions.
Example 2 Multiple Choice Practice STEP 2 Use the least common denominator to write equivalent fractions. 40 • 2 = 80 5 8 3 15 9 8 • 5 9 72 1 – = 40 = = 5 40 STEP 3 Compare the numerators: 15 < 40, 40 < 72, and 72 < 80. It follows that , , and 40 15 < 72 < 80
7
So, from least to greatest, the numbers are
Example 2 Multiple Choice Practice So, from least to greatest, the numbers are and 2. This can be illustrated on a number line. 3 9 , , , 1 – 8 5 ANSWER The correct answer is D.
8
Copy and complete the statement with < or >.
Guided Practice for Examples 1 and 2 Copy and complete the statement with < or >. 2 5 ? 1. ANSWER > 3 8 20 15 4 2 ? – 2. ANSWER > 4 2 ? 10 3 3. ANSWER < 18 11 16 9 ? – 4. ANSWER >
9
Guided Practice for Examples 1 and 2 Order the numbers from least to greatest. Then graph the numbers on a number line. 31 52 5. 8 , , , and – 7 3 9 , , , 8 3 31 7 – 9 52 ANSWER
10
Guided Practice for Examples 1 and 2 Order the numbers from least to greatest. Then graph the numbers on a number line. 6. 2 7 , , , 5 3 13 8 38 2 7 , , , 5 3 13 8 38 ANSWER
Similar presentations
© 2025 SlidePlayer.com Inc.
All rights reserved.