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## Adding and Subtracting

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**Adding and Subtracting**Fractions! Designed and Created by Leslie James Click the arrow to get started**Adding and Subtracting Fractions**Main Menu Tutorials Quiz Guided Practice Help ! Click to see the Program Objective**Click on a topic!**Equality Adding fractions with LIKE Denominators Changing denominators in fractions with UNLIKE Denominators Changing numerators in fractions with UNLIKE denominators Main Menu Click to view Objective 1**Equality**Click the box below to watch a video about equality. Main Menu Click to continue**Equality**Equality in Math is when two items (numbers, equations, fractions, etc.) are equal. 3 x 5 = 15 4 + 2 = 3 x 2 24 – 4 = 5 x 4 Main Menu Click to continue**Equality**Click on a topic to see examples of equalities or take the Quiz Equations Items Numbers Fractions Take the QUIZ! Main Menu Click here to see the objective**Examples of Equations that are Equal**2 + 3 = 3 + 2 (They both equal 5) 10 – 7 = 20 – 17 (They both equal 3) 6 x 6 = 4 x 9 (They both equal 36) Equality Menu Main Menu**Examples of Numbers that are Equal**1,045 = 1,045 743 = 743 9,782 = 9,782 62 = 62 0 = 0 4 = 4 4,321,092 = 4,321,092 15 = 15 Equality Menu Main Menu**Examples of Items that are Equal**= = = = Equality Menu Main Menu**Examples of Fractions that are Equal**2 4 1 2 = = 3 4 6 8 = = Main Menu Equality Menu**Equality Quiz**Are the following items equal? Continue Main Menu**Equality Quiz**GOOD! Click Continue. Are they equal? 4 x 3 = 6 + 6 YES NO Sorry, these are equal. They both equal 12. Continue**Equality Quiz**Are they equal? These are not equal. One equals 8, and one equals 7. 14 – 6 = 15 - 8 YES NO These are NOT equal. Continue**Equality Quiz**Are they equal? 3 6 1 2 GOOD! Click Continue = YES NO Sorry, these are equal. They both equal one half. Continue**Equality Quiz**Are they equal? Sorry, these are not equal. 4,980,089 4,089,980 = YES NO Good! These are not equal. Click next! Continue**Equality Quiz**Are they equal? 2 3 6 9 = GOOD! YES NO Sorry, these are equal. They both equal one half. Equality Menu**Adding and Subtracting with Like Denominators**Click the box below to watch a video about adding and subtracting fractions Main Menu Click to continue**Adding and Subtracting with Like Denominators**Here are the steps: • Look at the two fractions. Do the denominators match? If yes, keep going. If no, click here for steps for adding fractions with unlike denominators • Add or subtract the numerators (top numbers). • Slide the denominator into the answer. It stays the same. • You are finished. If done correctly, you should have an answer that has the same denominator as the two original fractions and the numerator should be the original numerators added or subtracted. Main Menu Try Some!**Adding and Subtracting with Like Denominators**Add the numerators (top numbers) 1 2 1 4 + 2 + 4 3 Keep the denominators (bottom numbers) the same 4 Main Menu Click to Continue**Try one on your paper and check your answer**2 Did you get the correct answer? 5 If yes, click Main Menu and choose where to go next. 2 + If no, click here and view the tutorial again 5 4 5 Main Menu Click here to see the objective**Changing denominators in fractions with**UNLIKE Denominators Click the box below to watch a video about adding and subtracting fractions Main Menu Click to continue**Changing denominators in fractions with**UNLIKE Denominators Now that you’ve watched the video about adding and subtracting fractions with different denominators, let’s look at the steps. Main Menu Click here to see the objective Click to continue**Changing denominators in fractions with UNLIKE Denominators**Step 1 – Find a common denominator To find a common denominator, you must find a number that is a multiple of both of the denominators. The lowest one is usually the easiest to work with. So, if you have the two denominators of 3 and 5 you must find a multiple that they have in common. Main Menu Click here to see the objective Click to continue**Changing denominators in fractions with UNLIKE Denominators**Think about the multiples of 3 and 5 3’s multiples – 3, 6, 9, 12, 15, 18, 21, 24, 27 5’s multiples – 5, 10, 15, 20, 25, 30, 35, 40 Which multiple(s) do they have in common? Main Menu Click here to see the objective Click to continue**Changing denominators in fractions with UNLIKE Denominators**The multiple that they have in common is 15 3’s multiples – 3, 6, 9, 12, 15, 18, 21, 24, 27 5’s multiples – 5, 10, 15, 20, 25, 30, 35, 40 We have found a common denominator Main Menu Click to continue**Changing numerators in fractions with UNLIKE denominators**Now that we have a common denominator, let’s change the numerators. 1 In order to change the numerator, you must find out what you multiplied the denominator by to get the new denominator. = 3 15 1 + = 5 15 Main Menu Click here to see the objective Click to continue**Changing numerators in fractions with UNLIKE denominators**Now that we have a common denominator, let’s change the numerators. 1 X 5 5 Once you have found what you multiplied the denominator by to get the new denominator, multiply the numerator by the same number. = 3 X 5 15 X 3 3 1 + = 5 X 3 15 Main Menu Click to see the objective Click to continue**Adding fractions with UNLIKE Denominators**TA DA! That’s all there is to it. Now you just add them together! 5 Don’t Forget! Only add the numerators, the denominators stay the same (15). 15 3 + 15 8 15 Main Menu Click to continue**Adding fractions with UNLIKE Denominators**Let’s try one more! First, find the common denominator. 1 = 2 2 = If you need help finding a common denominator click here. + 6 Main Menu Click here to see the objective Click to continue**Multiplication Chart**This can be helpful if you are having trouble finding a common denominator. Just find the two denominators along the left side and trace across until you find a number they have in common. Main Menu Continue**Multiplication Chart**If you denominators are 2 and 6, just trace across the 2 and the 6 until you find the lowest number that they have in common. Main Menu Click to Continue**Adding fractions with UNLIKE Denominators**Let’s try one more! Write down the common denominator. 1 = 2 6 2 = + 6 6**Adding fractions with UNLIKE Denominators**Let’s try one more! Figure out what you multiplied the original denominator by to get the new denominator. 1 = 2 X 3 6 2 = If you need help finding a common denominator click here. + 6 6 X 1 Main Menu Click here to see the objective Click to continue**Adding fractions with UNLIKE Denominators**Let’s try one more! 3 1 X 3 = Multiply the numerator by the same thing. 6 2 X 3 2 2 X 1 + = If you need help finding a common denominator click here. 6 6 X 1 Main Menu Click here to see the objective Click to continue**Adding fractions with UNLIKE Denominators**Let’s try one more! Add or subtract. 1 X 3 3 = 6 2 X 3 2 2 X 1 = + 6 6 X 1 5 6 Main Menu Click here to see the objective Click to continue**5**6 Is the answer!! Click here to see the objective for this lesson Main Menu**Guided Practice Menu**Click which topic you would like to work on Like Denominators Unlike Denominators Main Menu**Guided Practice – Like Denominators**Try to solve the following problem on your paper and check your answers. If you get them wrong, follow the steps to determine where you mistake was. 2 3 1 3 + Do not click continue until you are ready to check your answer Click here to see the objective**Guided Practice – Like Denominators**2 3 Is this the answer that you got? If yes, click here to try some more. 1 3 + If no, click here to find your mistake. 3 3 Main Menu**Guided Practice – Like Denominators**2 3 First, check your denominators. Do they match? If yes, then go ahead and write that number in the answer. 1 3 + 3 Click to Continue**Guided Practice – Like Denominators**2 3 Second, add or subtract your numerators. 1 3 + So the answer is 3 3 3 2 + 1 = 3 C Click to Continue**If you are still having trouble with adding and subtracting**with like denominators, click here to go back and review the tutorial. If you understand now where you made your mistake, click here to continue with the guided practice. Main Menu**Guided Practice – Like Denominators**Try to solve the following problem on your paper and check your answers. If you get them wrong, follow the steps to determine where you mistake was. 1 4 2 4 + Do not click continue until you are ready to check your answer Click here to see the objective**Guided Practice – Like Denominators**1 4 Is this the answer that you got? If yes, click here to try some more. 2 4 + If no, click here to find your mistake. 3 4 Main Menu**Guided Practice – Like Denominators**1 4 First, check your denominators. Do they match? If yes, then go ahead and write that number in the answer. 2 4 + 4 Main Menu Click to Continue**Guided Practice – Like Denominators**1 4 Second, add or subtract your numerators. 2 4 + So the answer is 3 4 3 1 + 2 = 4 Continue**If you are still having trouble with adding and subtracting**with like denominators, click here to go back and review the tutorial. If you understand now where you made your mistake, click here to continue with the guided practice. Main Menu**Guided Practice – Like Denominators**Try to solve the following problem on your paper and check your answers. If you get them wrong, follow the steps to determine where you mistake was. 3 7 2 7 + Do not click continue until you are ready to check your answer Click here to see the objective**Guided Practice – Like Denominators**3 7 Is this the answer that you got? If yes, click here to try some more. 2 7 + If no, click here to find your mistake. 5 7 Main Menu**Guided Practice – Like Denominators**3 7 First, check your denominators. Do they match? If yes, then go ahead and write that number in the answer. 2 7 + 7 Click to Continue