Comparing Fractions and Decimals Grade 6 Lesson Objectives

Comparing Fractions and Decimals Grade 6

Lesson Objectives • Compare and order fractions with or without using symbols (>, <, =) • Identify and determine equivalent forms of proper fractions

Let’s Review • • Comparing Converting fractions to decimals to fractions

Comparing Fractions • In order to compare fractions, the denominators for each fraction need to be the same. • Find the Least Common Multiple • Make equivalent fractions

Comparing Fractions 3 2 7 4 , 5 , 20 4: 4, 8, 12, 16, 20 5: 5, 10, 15, 20, 25 20: 20 LCM = 20

Comparing Fractions 3 4 = 15 20 2 5 = 8 20 7 20 = 7 20 Now order these fractions from least to greatest. 7 20 2 5 3 4

Comparing Fractions Order these fractions 6 10 1 2 4 5 6 10 4 5

Comparing Decimals • When comparing decimals, you have to look at the whole numbers. • If the whole numbers are the same, then look at the decimal in the tenths place. • Keep looking at the digits until you can identify which is the greatest or least.

Comparing Decimals Practice Time! Order from least to greatest Problems Answers 1. 134, 1. 341, 1. 103, 1. 134, 1. 341 14. 072, 14. 172, 14. 07, 14. 072, 14. 172 3. 963, 3. 93 3. 63, 3. 963

Converting Fractions to Decimals Think about how you say the fraction. 6 =. 6 10 How many TENTHS are there? The 6 goes in the TENTHS place. 8 = 100. 08 How many HUNDREDTHS are there? The 8 goes in the HUNDREDTHS place.

Converting Fractions to Decimals If the denominator is not a tenth or hundredth, you will need to make an equivalent fraction using a 10 or 100 as the denominator. 4 5 = 8 10 =. 8

Converting Fractions to Decimals 3 4 Let’s try a few! 75 = 100 =. 75 4 20 20 = =. 20 10 40. 40 = = 25 100

Converting Decimals to Fractions • Converting decimals to fractions is the opposite of converting fractions to decimals. • Once again, read the fraction. • What do you hear? Tenths or hundredths?

Converting Decimals to Fractions Think about how you say the decimal. 6 =. 6 10 8. 08 = 100 Read the decimal. The 6 is in the TENTHS place, so the denominator is 10. What place is the 8 in? The HUNDREDTHS place. The denominator is 100.

Converting Decimals to fractions . 60 Let’s try a few! 6 60 = 10 or 100 16. 16 = 100 40 4. 40 = 100 or 10

Comparing Fractions and Decimals In order to compare fractions and decimals, you have to use all of the skills you have learned and reviewed in this session. You can not compare fractions and decimals. You have to convert them all to either fractions or all to decimals.

Comparing Fractions and Decimals Compare and order these fractions and decimals. . 60 4 10 4 20 1 2 . 75 . 4