This ppt explains, how to compare fractions and order them by using examples. A fraction represents a part of a whole or, more generally, any number of equal parts. A fraction describes how many parts of a certain size there are, for example, one-half, eight-fifths, three-quarters.
1. Comparing and Ordering Fractions and Mixed Topic 9-5 Pgs. 230-231
2. How can you compare Problem: Shawna and Tom walked two different paths in Trout park. Shawna walked 5/6 mile. Tom walked ¾ mile. Which is greater, 5/6 or ¾?
3. Which is greater 5/6 or ¾? One Way Multiply your fractions by the To compare fractions, number it takes to find a common get 12 as a denominator by denominator writing the multiples 5 x 2 = 10 of each denominator 6 2 12 4: 4, 8, 12, 16, 20… 3 x 3 = 9 6: 6, 12, 16, 18, 24… 4 3 12 Use 12 as the common 10/12 > 9/12 so, denominator 5/6 > 3/4
4. Which is greater 5/6 or ¾? Another Way: Multiply your fractions You can multiply the by the number it takes to get 24 as denominators to the denominator find a common 5 x 4 = 20 denominator. 6 4 24 Compare ¾ and 5/6 3 x 6 = 18 Multiply denominators: 4 x 6 24 4 x 6= 24 20/24 > 18/24 so Use 24 as the common 5/6 > 3/4 denominator
5. How can you order fractions and mixed Write 2 5/12, 11/12, 3 1/6, 2 1/3 in order from least to greatest You know that 11/12 < 1 and all the mixed numbers are greater than 1. So 11/12 is the least number When comparing mixed numbers, look at the whole number parts. Since 3>2, you know that 3 1/6 is greater than both 2 1/3 and 2 5/12 Next, compare 2 1/3 and 2 5/12. Since the whole numbers are the same, compare the fractions. Compare 1/3 and 5/12. Change 1/3 to 4/12 4/12 < 5/12 so 2 1/3 < 2 5/12 From greatest to least, the numbers are 3 1/6, 2 5/12, 2 1/3, 11/12
6. Let’s Try it Together Compare the Order from least following to greatest fractions 1) 2 1 9 1. 3 4 3 , 4 , 10 5 5 Answer: ¼, 2/3, 9/10 <, >, or =? 2) 1 2 2 1 1 9 2. 1 2 3 10 4 Answers: 1 2/3, 1 9/10, 2 1/4 4 3
7. Independent Practice #7- Use your notes to determine the correct answer for #7-12. We will review the answers in 10 minutes Good Luck!
8. Common Factors and Greatest Common Factors 9-6 Pgs. 232- 233
9. Ifa number is a factor of two numbers, it is called a common factor The greatest common factor (GCF) of two numbers is the greatest number that is a factor of both numbers
10. How can you find the greatest common factor of 20 and 30? Problem: A pet store has One Way: goldfish and angelfish To find the greatest common that have to be put into factor of 20 and 30, you the fewest number of can list all the factors of glass containers. Each each and circle the container must contain numbers they have in common the same number of fish, 20: 1, 2, 4, 5, 10, 20 and each must contain all goldfish or all angelfish. 30: 1, 2, 3, 5, 6, 10, 15, 30 Of all the numbers they have Find the GCF of 20 and in the common what is the 30 largest number? 10 so the GCF of 20 and 30=10
11. How can you find the greatest common factor of 20 and 30? Another way is to use prime factorization to find the GCF Find GCF of 24 and 18 (pg. 232) 1. Find the prime factors of each number 2. List the prime factors of each number 24= 2 x 2 x 2 x 3 18= 2 x 3 x 3 3. Circle the prime factors that both numbers share which are 2 and 3 4. Multiply the common factors: 2 x 3=6 So, the GCF of 18 and 24 is 6
12. Let’s Try it Together! Find the GCF of Answers: each pair of numbers 1. 3 1) 9 and 12 2. 5 2) 20 and 45 3. 7 3) 7 and 28 4. 2 4) 18 and 32 5) If two numbers are prime, what is their GCF?
13. Independent Practice Complete #7-14 and we will review them as a class Good Luck
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