Download presentation

Published byMeagan Morgan Modified over 8 years ago

1
EXAMPLE 1 Comparing Fractions Using the LCD 7 10 3 4 Julie kayaks a distance of mile, and Seth kayaks mile. Who kayaks the greater distance? Kayaking SOLUTION Find the LCD of the fractions, to compare and Because the LCM of 10 and 4 is 20, the LCD of the fractions is 20. STEP 1 3 4 7 10 Use the LCD to write equivalent fractions. STEP 2 Julie: 7 10 = 7 10 2 = 14 20 Seth: 3 4 = 3 4 5 = 15 20

2
EXAMPLE 1 Comparing Fractions Using the LCD STEP 3 < Compare the numerators: 14 20 15 3 4 7 10 , so ANSWER Seth kayaks the greater distance. Graph the numbers on a number line. Check : Because 14 20 is to the left of < 15 3 4 7 10 ,

3
EXAMPLE 2 Standardized Test Practice SOLUTION STEP 1 Find the LCD. The LCD is the LCM of 3, 4, 8, and 6, which is 24.

4
EXAMPLE 2 Standardized Test Practice STEP 2 Use the LCD to write equivalent fractions. 2 3 = 2 3 8 = 16 24 3 8 = 3 8 = 9 24 1 6 6 = 1 4 = 4 24 3 4 = 3 4 6 = 18 24 STEP 3 Compare the numerators: 4 24 9 16 18 < , so 1 6 3 8 2 4 < The order of the fractions from least to greatest is ANSWER The correct answer is B. 1 6 3 8 2 4 , , and .

5
EXAMPLE 3 Comparing Fractions Using Approximations Use approximation to tell which portion in each package is greater 13 24 17 36 or . , Notice that the numerator of each fraction is about half the denominator. You know that 12 24 ,so 1 2 = 13 > . < You know that 18 36 ,so 1 2 = 17 .

6
EXAMPLE 3 Comparing Fractions Using Approximations 13 24 17 36 ANSWER You can conclude that so the package with package with has a greater portion of pencils in it. so the >

7
GUIDED PRACTICE EXAMPLE 3 Comparing Decimals for Examples 1, 2, and 3 1. Copy and complete the statement using <, >, or =: 5 8 7 12 ? SOLUTION STEP 1 8 Find the LCD of the fractions, to compare and Because the LCM of 8 and 12 is 24, the LCD of the fractions is 24. 7 12 5 Use the LCD to write equivalent fractions. STEP 2 5 8 = 5 8 3 = 15 24 7 12 = 7 12 2 = 14 24

8
EXAMPLE 3 GUIDED PRACTICE Comparing Decimals for Examples 1, 2, and 3 24 > , 15 14 > 12 8 so 7 5 STEP 3 Compare the numerators:

9
EXAMPLE 3 GUIDED PRACTICE Comparing Decimals for Examples 1, 2, and 3 2. Order the fractions from least to greatest: 9 14 3 4 5 28 7 , SOLUTION STEP 1 Find the LCD. The LCD is the LCM of 15, 7, 4, and 28, which is 28. STEP 2 Use the LCD to write equivalent fractions. 9 14 = 9 14 2 = 18 28 5 7 = 5 7 4 = 20 28 3 4 = 3 4 7 = 21 28 5 28 = 5 28 1 = 5 28

10
EXAMPLE 3 GUIDED PRACTICE Comparing Decimals for Examples 1, 2, and 3 STEP 3 Compare the numerators: 5 28 18 20 21 < , so 5 28 9 14 7 3 4 < The order of the fractions from least to greatest is ANSWER 5 28 15 7 3 4 , . 9

11
GUIDED PRACTICE EXAMPLE 3 Comparing Decimals for Examples 1, 2, and 3 Use approximation to tell which fraction is greater. 8 15 11 24 , Notice that the numerator of each fraction is about half the denominator. You know that 8 16 1 2 = ,so 8 15 > 1 2 . You know that 12 24 1 2 = < ,so 11 24 1 2 . 8 15 ANSWER

12
GUIDED PRACTICE EXAMPLE 3 Comparing Decimals for Examples 1, 2, and 3 Use approximation to tell which fraction is greater. 16 33 11 18 , Notice that the numerator of each fraction is about half the denominator. You know that 16 32 1 2 = ,so 16 33 < 1 2 . You know that 9 18 1 2 = > ,so 11 18 1 2 . 11 18 ANSWER

13
GUIDED PRACTICE EXAMPLE 3 Comparing Decimals for Examples 1, 2, and 3 Use approximation to tell which fraction is greater. 23 48 31 56 , Notice that the numerator of each fraction is about half the denominator. You know that 24 48 1 2 = ,so 23 48 < 1 2 . You know that 28 56 1 2 = > ,so 31 56 1 2 . 31 56 ANSWER

14
GUIDED PRACTICE EXAMPLE 3 Comparing Decimals for Examples 1, 2, and 3 Use approximation to tell which fraction is greater. 16 30 60 130 , Notice that the numerator of each fraction is about half the denominator. You know that 15 30 1 2 = ,so 16 30 > 1 2 . You know that 65 130 1 2 = < ,so 60 130 1 2 . 16 30 ANSWER

Similar presentations

© 2023 SlidePlayer.com Inc.

All rights reserved.

To make this website work, we log user data and share it with processors. To use this website, you must agree to our Privacy Policy, including cookie policy.

Ads by Google