What is a mixed number? A mixed number is made up of a whole number and a fraction (part of a whole). *Watch the video to learn more about adding mixed numbers. Click Here for Adding Mixed Numbers with Like Denominators Adding Mixed Numbers with Area Models
In the video, you learned how to add mixed numbers using the area model. We can also represent the adding of mixed numbers by using a number line. 2 ¾ + 1 ¼ = Adding Mixed Numbers with a Number Line 4/4 or 1 whole 2 2 ¼2 ¼2 2/4 2 ¾2 ¾ 3 ¼ 3 2/4 3 ¾3 ¾4 3 4 ¼4 ¼ 4
Use area models or a number line to solve for the sum. 2 ⅓ + 1 ⅓ Adding Mixed Numbers
2 ⅓ + 1 ⅓ = 3 2/3 + Adding Mixed Numbers
2 ⅓ + 1 ⅓ = Adding Mixed Numbers with a number line 2 2 ⅓2 ⅓2 ⅔2 ⅔ 3 ⅓3 ⅓ 3 ⅔3 ⅔ 34 3/3 or 1 whole 3 ⅔
Now that we can add mixed numbers, let’s take a look at subtracting mixed numbers. Subtracting Mixed Numbers
Let’s look at this model - = ¼ 4/4 or 1 - 3/4 = 1/4 Subtracting Mixed Numbers
Sam read 4 ⅘ chapters in his book over the weekend. Sally read 2 ⅕ chapters over the weekend. How much many more chapters did Sam read than Sally? Subtracting Mixed Numbers 5 4 ⅘4 ⅘ 4 ⅕4 ⅕ 4 ⅖4 ⅖ 4 ⅗4 ⅗ 3 ⅗3 ⅗ 3 ⅘3 ⅘ ⅕3 ⅕ 3 ⅖3 ⅖ 2 ⅕2 ⅕ 2 ⅗2 ⅗ 2 ⅘2 ⅘ 2 ⅖2 ⅖ 11 11 ⅕⅕ 2 ⅗ 4 ⅘ - 2 ⅕ =
Subtracting Mixed Numbers When your largest numerator comes first, it is very easy to subtract! 1.Make sure your denominators are the same digit. 2.Then, subtract the whole number first. 3.Now subtract the numerator. Your denominator will not change because your whole is the same! 3 ¾ - 1 ¼ = 2 2/4
Subtracting Mixed Numbers Find the difference. Use a number line or model to help you, if needed. 6 ⅘ - 3 ⅖ = 9 ⅜ - 7 2/8 =