Lesson 1: Add Fractions with Unlike Denominators

Lesson 1: Add Fractions with Unlike Denominators.

[Audio] Today, we will learn how to add fractions with different denominators. This is an important skill for solving real-world problems. Here is a problem we will be working on: Eleni ate a whole box of cereal and Freddie ate one third of the same box. How much of the box did they eat together? Use any method to solve this problem, keeping in mind the importance of understanding and persevering in math. The images on the slide can help you understand the problem and you can also use fraction strips to visually represent and add the fractions. Remember to show your work as you solve the problem and reflect on the steps you took to find the solution. By the end of this lesson, you will be able to confidently add fractions with different denominators, which will be useful for future math lessons and solving real-world problems. Let's continue with our lesson and add fractions together!.

[Audio] Today, our lesson will focus on adding fractions with unlike denominators. Our goal is to become experts in this skill. On slide number 3, we have two images, one representing a whole divided into 60 equal parts, and the other representing a box of cereal divided into 8 equal parts. When adding fractions with different denominators, we must first find a common denominator. In this case, we can use 24 as our common denominator. To make the fractions equivalent, we must multiply both the numerator and denominator by the same number. For example, in the fractions one-third and one-eighth, we would multiply 1 and 3 by 8 for one-third, and 1 and 8 by 3 for one-eighth. This gives us the equivalent fractions of 8/24 and 3/24. Now, we can add these two fractions together, giving us a sum of 11/24. With practice, we will become more comfortable with adding fractions with different denominators. So let's continue practicing and become experts in this skill. Keep pushing yourself to learn and improve. See you in our next lesson..

[Audio] The focus of this lesson is adding fractions with unlike denominators. By the end of the lesson, you will have the ability to successfully add fractions with different denominators. Let's consider a real-life scenario- Alex riding his scooter from his house to the park and then to baseball practice. The question is, what is the total distance Alex rode? To solve this problem, we must add the distances of both trips. However, the challenge here is that the fractions have different denominators. No worries, we will teach you how to solve this using a few simple steps. First, we need to find a common denominator- a number that both denominators can evenly divide into. In this case, we can use 10 as our common denominator. Then, we convert both fractions to have a denominator of 10 by using a fraction bar. We multiply the numerator and denominator of the first fraction by 5 and the second fraction by 2. This results in the new fractions of 5/10 and 6/10. We can now add the two fractions together- 5/10 + 6/10 = 11/10. But this is an improper fraction; we must convert it to a mixed number by dividing the numerator by the denominator. The final answer is 1 and 1/10. Congratulations, you have successfully added fractions with unlike denominators! Let's look at another example (insert image). The two fractions, 1/6 and 1/4, have different denominators. Using the same steps, we find the common denominator of 12 and convert both fractions to have a denominator of 12. This results in the new fractions of 2/12 and 3/12. Finally, we add the two fractions together- 2/12 + 3/12 = 5/12. So the answer is 5/12. Remember, when adding fractions with different denominators, always find the common denominator, convert the fractions, and then add (insert image). Now, it's your turn to practice adding fractions with unlike denominators using the methods we just learned. You will be able to solve any problem that involves adding fractions with different denominators. Best of luck!.

[Audio] Today's lesson is on how to add fractions with unlike denominators. On slide number 5, we can see the steps for adding these fractions. The first step is to make both fractions have a common denominator. We can find this by identifying the multiples of each denominator. In this case, the common multiple between 2 and 3 is 6. So, we need to change both fractions to equivalent fractions with a denominator of 6. The next slide shows us how to do this. Using the same image, we can see that the fraction with a denominator of 2 becomes 3/6 and the fraction with a denominator of 3 becomes 2/6. Now, we can simply add the numerators and keep the denominator the same. In this case, the answer is 5/6. To summarize, the first step is to find the common multiple and change the fractions to equivalent fractions with that denominator. Keep practicing and you'll become a pro at adding fractions with unlike denominators. That's all for now. See you in our next lesson..

[Audio] Today's lesson is about adding fractions with unlike denominators. The learning objective is to be able to add fractions with ease and confidence. We will begin by discussing the second step for adding fractions with unlike denominators, which is writing equivalent fractions with a common denominator. This will make adding the fractions easier. Next, we will take a look at a visual representation of this step. Then, we will practice finding equivalent fractions with different denominators. Once we have our equivalent fractions, we can add them together. Remember to practice on your own to improve your skills. Thank you for your attention and have a great day!".

[Audio] In this lesson, we will focus on adding fractions with different denominators. To add fractions with unlike denominators, simply add the numerators while keeping the denominators the same. Let's take a look at a visual representation of this process and then apply it to a real-life situation. For example, if Alex has already gone 1/2 of a mile on his scooter and wants to ride a total of 1 mile, he would need to go 3/6 more miles. Now it's time to practice on some examples and remember to follow the steps we have learned to add fractions with unlike denominators. With some practice, you will become a pro at this concept. Good luck!.

[Audio] We are now on slide number 8 out of 16 in our presentation, 'Lesson 1: Add Fractions with Unlike Denominators'. Today's focus is on understanding how to add fractions with unlike denominators. Before we begin, let's review some examples to ensure our understanding. On this slide, there is a question for you to consider. Look at the image and ask yourselves, 'Do You Understand?' If the park was 1/2 of a mile from baseball practice instead of 1/3 of a mile, how far would Alex ride his scooter in total? Take a moment to think about it. We will now move on to the next image. Both Rico and Nita have solved the same problem, but their answers differ. Rico's answer is 1/2 and Nita's is 2/3. Who do you think is correct? Remember to use the term 'equivalent fraction' in your explanation. Our final image is 'Do You Know How?' We want you to find the sum using fraction strips. Are you feeling confident? Let's give it a try. Remember, the key to adding fractions with unlike denominators is finding the common denominator. Thank you for your attention. Let's continue to the next slide and see if you have fully grasped the concept of adding fractions with unlike denominators. Good luck!.

[Audio] In this class, we will be continuing our lesson on fractions by focusing on subtracting fractions with unlike denominators. Our objective is to master this skill with practice and determination. The first step is to find a common denominator and then to subtract the numerators while keeping the denominator the same. On slide number 9, we will learn about subtracting fractions with different denominators and there is a step-by-step process for this on the next slide. It is important to simplify your answer, if possible. Use the exercises on the following slide to practice and remember to show your work. With practice, you will become skilled at subtracting fractions with unlike denominators. I look forward to seeing your progress in our next lesson..

[Audio] Today, we will be learning about adding fractions with unlike denominators and the various methods for solving these problems. On slide 10, there is a scenario involving Rose who used 4 yards of copper pipe to repair a water line in her house. We need to determine how much pipe she has left and can use any method that works for us. The slide also includes an image of the remaining length of the pipe. As we work through this problem together, it's important to pay attention to both the numerator and the denominator and to double-check our answer. Remember, there is no right or wrong way to solve this problem as long as we use the concept of adding fractions with unlike denominators correctly. This example will help us better understand how to apply this skill in real-life scenarios. Let's continue exploring more scenarios and master adding fractions with unlike denominators. See you on the next slide!.

[Audio] In this lesson, we will focus on adding fractions with different denominators. By the end of the lesson, students will be able to confidently add fractions and solve problems involving fractions with unlike denominators. On slide number 11, there are two images to help us understand the concept. The first image shows a number line with two fractions, 1/3 and 1/6, while the second image has a fraction bar with denominators of 1/4 and 1/8. These images will serve as visual aids to help us grasp the concept of adding fractions with unlike denominators. The first image shows that to add fractions with different denominators, we need to find the lowest common multiple. The second image also shows that by converting the fractions to like fractions, we can add them easily. It is crucial to understand that the denominator represents the number of equal parts the whole is divided into. This means that finding a common multiple is finding a common base for both fractions. Moving on to practice problems, students can apply this knowledge. Remember, practice makes perfect, so make sure to practice adding fractions with different denominators on your own. That concludes our lesson, great work everyone! Let's move on to the next slide for some practice questions. See you in the next lesson..

[Audio] Today, we will be learning how to add fractions with different denominators. Our goal for this lesson is to confidently add fractions with unlike denominators. Let's move on to slide number 12 where we have a problem to solve involving Linda and her sewing project. Our task is to find the amount of fabric she has left. We can use subtraction to find the answer by subtracting the portion of fabric she used from the total amount she bought. This can be represented by the equation "total amount - portion used = amount left." As shown in the image, we can use the subtraction method to solve this problem. First, we need to make sure the fractions have the same denominator. Then, we can simply subtract the numerators and keep the same denominator. In this case, the answer would be 1/4 of a yard. It's important to remember that when adding or subtracting fractions, the denominators must be the same to ensure an accurate answer. Now, let's move on to the next slide to continue practicing adding fractions with unlike denominators. Good job, class!.

[Audio] Today, we will be learning how to add fractions with unlike denominators. Our objective is to understand how to properly add fractions with different denominators. We are now on slide number 13 out of 16, and we will be discussing the first step in adding fractions with unlike denominators. To start, we need to find a common multiple of the two denominators, which are 3 and 4. We can do this by listing out the multiples of each denominator. The number 12 is a multiple of both 3 and 4. Next, we will convert the fractions to equivalent fractions with a common denominator of 12 by multiplying the numerator and denominator by a number. For , we will multiply by 4 to get . For , we will multiply by 3 to get . This makes it easier for us to add the fractions together. This completes the first step in adding fractions with unlike denominators. On the next slide, we will discuss the second step..

[Audio] In our math lessons, we have been learning about adding fractions with unlike denominators. Today, we will be discussing the second step, the Identity Property, in this process. To subtract fractions with unlike denominators, we use the Identity Property to rename the fractions with a common denominator. This involves finding a number that both denominators can divide evenly into. For instance, in the given example, the common denominator for fractions 2/4 and 3/4 is 12, as both 4 and 12 can be divided evenly into 12. Once a common denominator is found, we rename the fractions using this number. In our example, we rename 2/4 as 6/12 and 3/4 as 9/12. This makes it easier to subtract the fractions as they now have the same denominator. For instance, in the example, 6/12 minus 9/12 equals -3/12, which simplifies to -1/4. Remember, using the Identity Property helps us find a common denominator for our fractions, making the process of adding or subtracting with unlike denominators easier. We will practice this step with more examples in our next lesson. Great job today, class! You are well on your way to mastering adding fractions with unlike denominators. Keep up the good work!.

[Audio] Today, in lesson 1 of our math series, we will be learning about adding fractions with different denominators. Our objective is to successfully add fractions with unlike denominators. Moving on to slide number 15, we can see an example of how to subtract fractions with different denominators, which is step 3 of the process. The first two steps were to find a common denominator and convert the fractions to have that common denominator. As shown in the visual representation, Linda has some fabric left and we can see that the denominator is the same for both fractions, so there is no need to convert them. When subtracting fractions with unlike denominators, we keep the denominator the same and only change the numerators. In this case, Linda has 4/12 yards of fabric left after subtracting 3/12 from 7/12. Now it's your turn to try it on your own. Given 4/12 and 2/12, the total amount of fabric left is 6/12 or simplified, 1/2 yard. This concludes our lesson for today. Make sure to practice on your own and we will continue to build upon this concept in our next lesson. Thank you for your attention and have a great day..

[Audio] Hello everyone, and welcome to our lesson on adding fractions with unlike denominators. In this lesson, we will discuss the steps to add fractions with different denominators and by the end of this presentation, you will be able to confidently add fractions with ease. On our 16th and final slide, we have a question for you. [image] Can you understand how to add fractions with unlike denominators and do you know the steps to do so? Let's find out.First, on slide number 16, we have a practice problem for you. [image] In the example on page 282, can a common denominator greater than 12 still give the correct answer? Take a moment to think about it and come up with your answer.Next, [image] if Linda started with one yard of fabric and used 1/3 of a yard, how much fabric would be left? Try solving this problem on your own and see if you get the correct answer. Moving on to the next exercise, [image] find the difference between 3/7 and 5/12. Take some time to work out the problem and see if you get the answer 1/84. Now, let's look at [image] 4/6 and 24/5. Can you find the sum of these fractions? Take a moment to solve the problem. Lastly, we have [image] 4/7 and 5/12. Can you add these fractions together and get the correct answer of 53/84? Remember, any common multiple will work! I hope this presentation has helped you better understand how to add fractions with unlike denominators. Thank you all for your attention and participation. [image] Keep practicing and I am confident that you will become experts at adding fractions. Have a great day!.