温馨提示：本站仅提供公开网络链接索引服务，不存储、不篡改任何第三方内容，所有内容版权归原作者所有
AI智能索引来源：http://www.edu.com/math-glossary/Mixed-Number-Definition-Examples
点击访问原文链接

Mixed Number: Definition and Example | EDU.COM

进入原网站 导航首页
Mixed Number: Definition and Example | EDU.COMEDU.COMResourcesBlogGuidePodcastPlanBackHomesvg]:size-3.5">Math Glossarysvg]:size-3.5">Mixed NumberMixed Number: Definition and ExampleTable of ContentsDefinition of Mixed Numbers

A mixed number is a mathematical expression that combines a whole number with a proper fraction. It represents a value that falls between two consecutive whole numbers. For instance, when we have more than one whole unit but not quite enough to make the next complete unit, we use mixed numbers to express this quantity. Mixed numbers consist of three essential components: a whole number part, a numerator, and a denominator, with the latter two forming the fractional part.

Mixed numbers possess distinct properties that make them useful in mathematical operations. They are partially whole numbers and partially fractions, allowing for flexible representation of quantities. One key characteristic of mixed numbers is that they can be converted to and from improper fractions (fractions where the numerator is greater than or equal to the denominator). This conversion capability makes mixed numbers particularly valuable when performing arithmetic operations like addition, subtraction, multiplication, and division.

Examples of Mixed Numbers Example 1: Converting an Improper Fraction to a Mixed Number Problem:

Convert the improper fraction 73\frac{7}{3}37​ into a mixed number.

Step-by-step solution:

Step 1: Divide the numerator by the denominator.

We need to find how many whole groups of 3 are in 7. When we divide 7 by 3, we get: 7÷3=27 \div 3 = 27÷3=2 with a remainder of 1.

Step 2: Identify the whole number portion.

The quotient (2) becomes our whole number part.

Step 3: Create the fractional part.

The remainder (1) becomes our numerator. The original denominator (3) remains as is.

Step 4: Combine to form the mixed number.

Putting it all together: 73=213\frac{7}{3} = 2\frac{1}{3}37​=231​

Final answer: The improper fraction 73\frac{7}{3}37​ as a mixed number is 2132\frac{1}{3}231​.

Example 2: Adding Mixed Numbers Problem:

Add the mixed numbers 112+3341\frac{1}{2} + 3\frac{3}{4}121​+343​

Step-by-step solution:

Step 1: Separate the whole numbers and fractions.

Whole numbers: 1 and 3 Fractions: 12\frac{1}{2}21​ and 34\frac{3}{4}43​

Step 2: Add the whole numbers.

1+3=41 + 3 = 41+3=4

Step 3: To add the fractions, we need a common denominator.

The denominators are 2 and 4 The least common multiple (LCM) of 2 and 4 is 4 Convert 12\frac{1}{2}21​ to an equivalent fraction with denominator 4: 12=1×22×2=24\frac{1}{2} = \frac{1 \times 2}{2 \times 2} = \frac{2}{4}21​=2×21×2​=42​

Step 4: Add the fractions using the common denominator.

24+34=54\frac{2}{4} + \frac{3}{4} = \frac{5}{4}42​+43​=45​ Notice that 54\frac{5}{4}45​ is an improper fraction

Step 5: Convert the improper fraction to a mixed number.

54=114\frac{5}{4} = 1\frac{1}{4}45​=141​ (since 5 ÷ 4 = 1 with remainder 1)

Step 6: Combine the results.

4+114=5144 + 1\frac{1}{4} = 5\frac{1}{4}4+141​=541​

Final answer: 112+334=5141\frac{1}{2} + 3\frac{3}{4} = 5\frac{1}{4}121​+343​=541​

Example 3: Real-Life Application of Mixed Numbers Problem:

You have 2 whole pizzas and 3/4 of another pizza. How many pizzas do you have in total?

Step-by-step solution:

Step 1: Identify the whole number part.

You have 2 complete pizzas.

Step 2: Identify the fractional part.

You have 34\frac{3}{4}43​ of another pizza.

Step 3: Express the total as a mixed number.

The total number of pizzas is 2342\frac{3}{4}243​.

Final answer: You have a total of 2342\frac{3}{4}243​ pizzas.

Comments(7)PPRSpecialistVinceNovember 6, 2025I've used this mixed number def for my kid's study. It's clear & helpful, making learning this concept a breeze. Thanks!

MCMs. CarterSeptember 17, 2025This explanation of mixed numbers was so clear! I used it to help my daughter with her homework, and she finally understood how to convert improper fractions. The examples really made a difference!

NNatureLover92September 10, 2025I used the mixed number definition and examples from this page to help my kids with their homework, and it made such a difference! The step-by-step solutions were super clear. Thanks for making math less stressful!

NNatureLover25August 27, 2025This explanation of mixed numbers was so clear! I used it to help my child understand fractions better, and the examples really made a difference. Love the step-by-step approach—super helpful for homework time!

AAdventureSeeker77August 20, 2025I’ve been using this page to help my kids understand mixed numbers, and it’s such a clear explanation! The examples made it easy to show how to convert between fractions. Thanks for making math less stressful!

svg]:px-3 dk:w-auto h-10 dk:h-14 rounded-lg dk:rounded-[15px] px-5 dk:px-7.5 text-sm dk:text-xl text-[#3467FF] bg-white hover:bg-white">Load MoreExplore More TermsRadicandSurface Area of SphereDoublesHourDifference Between Cube and CuboidLine GraphView All Math TermsRecommended Interactive LessonsUse the Number Line to Round Numbers to the Nearest Ten3Math3.NBT.A.1Find Equivalent Fractions Using Pizza Models3Math3.NF.A.3.a, 3.NF.A.3.bUse Arrays to Understand the Distributive Property3Math3.OA.B.5Multiply by 43Math3.OA.C.7Multiply by 73Math3.OA.C.7Understand Equivalent Fractions with the Number Line3Math3.NF.A.3.a, 3.NF.A.3.bView All Interactive LessonsRecommended VideosCompose and Decompose Numbers to 5KMathK.OA.A.3Compose and Decompose Numbers from 11 to 19KMathK.NBT.A.1Multiply by 3 and 43Math3.OA.C.7Divisibility Rules4Math4.OA.B.4Compare and Order Multi-Digit Numbers4Math4.NBT.A.2Compare Factors and Products Without Multiplying5Math5.NF.B.5a, 5.NF.B.5bView All VideosRecommended WorksheetsUnderstand Greater than and Less thanKMathK.CC.C.6Compose and Decompose 6 and 7KMathK.OA.A.3Partition Circles and Rectangles Into Equal Shares2Math2.G.A.3Fractions on a number line: greater than 13Math3.NF.A.2.bArea of Rectangles With Fractional Side Lengths5Math5.NF.B.4bPowers And Exponents6Math6.EE.A.1View All WorksheetsRecommended Coloring PagesMedusa with snake hair and a simple staffPre-K – KAll SubjectsTrain blueprint with tracks and a simple landscape background1 – 2All SubjectsHeart-shaped wreath hanging on a door1 – 2All SubjectsNumber 14 with a castle in the background and a princess waving from a window1 – 2All SubjectsElderberry cluster on a branch with a bird perched next to it3 – 4All SubjectsMummy trick-or-treating with children dressed as a vampire and a ghost in a neighborhood5 – 6All SubjectsView All Coloring PagesRecommended BlogsTeaching Kanji Stroke Order: A Foundation for Young LearnersNovember 13, 2025Best Reading for Beginners: Building Strong FoundationsNovember 12, 2025What Is Structured Literacy? A Complete Guide for K-6 Teachers and ParentsNovember 9, 2025Simple Thesis Statement Examples for Elementary WritersOctober 14, 2025The Science of Reading: Evidence-Based Strategies for K-6 SuccessSeptember 22, 2025Reading for Beginners: A Data-Driven Guide to Building Strong Literary FoundationsSeptember 17, 2025View All Blog PostsQUICK LINKSAbout UsPrivacy PolicyTerms of ServiceTOOLSHomework HelperGuide DesignerPodcast MakerPlan BuilderRESOURCESMath GlossaryEnglish GlossaryEnglish Language ArtsMathematicsScienceBook InsightsFun with WordsBlog© 2025 EDU.COM. All rights reserved.

智能索引记录