Back To Course

6th-8th Grade Math: Practice & Review55 chapters | 468 lessons

Watch short & fun videos
**
Start Your Free Trial Today
**

Start Your Free Trial To Continue Watching

As a member, you'll also get unlimited access to over 70,000 lessons in math, English, science, history, and more. Plus, get practice tests, quizzes, and personalized coaching to help you succeed.

Free 5-day trial
Your next lesson will play in
10 seconds

Lesson Transcript

Instructor:
*Yuanxin (Amy) Yang Alcocer*

Amy has a master's degree in secondary education and has taught math at a public charter high school.

After watching this video lesson, you should be able to convert easily between decimals and mixed numbers. Learn what kinds of decimals you can and cannot convert to a mixed number.

**Decimals**, numbers with a decimal point in them, are used in the world all around us. The biggest example we have of decimals in use in the world around us is that of price tags. Just go to your favorite store and look at the prices. What do you see? You will most likely see your prices in the form of a decimal number, letting you know how much your item costs. You might see 45.99, which tells you that this item costs forty-five dollars and ninety-nine cents.

**Mixed numbers**, numbers consisting of a whole number plus a fractional part, are also used in the world around us. Open up any cookbook and you will see mixed numbers. You might see a recipe for bread calling for 2 3/4 cups of flour. This is telling you that you need two cups plus three-quarters of a cup of flour to make this bread.

Now, did you know that you can easily convert between decimals and mixed numbers? This is what we will be doing in this video lesson. While most decimals can be converted into a mixed number, there are just a few decimals that cannot be converted. Which ones are they? They are the decimals that don't end and don't repeat. For example, the number pi is a decimal that never ends and never repeats. It begins with 3.14159 â€¦ and keeps on going and going and going.

But for all the other decimals that do end, we can easily convert them to a mixed number. For example, to convert the decimal 4.1 to a mixed number, we first write down the number in front of the decimal point, the 4. Then we look at how many spaces we have after the decimal. We write the number after the decimal point in the numerator. Then, in the denominator, we write a 1 followed by zeroes.

The number of zeroes we write depends on the number of spaces we have after the decimal point. In our example, 4.1, we have one space after the decimal point. This tells us that we will write one zero after our 1 in the denominator. Our mixed number is 4 1/10. If we are able to simplify our fraction further, then we go ahead and do that. If not, then we are done. We will save converting repeating decimals into fractions for another lesson.

Converting a mixed number to a decimal is very straightforward. For example, to convert 3 1/2 to a decimal, we first write the whole number followed by a decimal point. Then we take our fraction and divide it. 1/2 equals .5. This gives us the numbers that come after the decimal point. So, 3 1/2 in decimal form is 3.5.

Let's look at a couple of examples. Convert 7.125 to a mixed number. We begin by first writing out the number in front of the decimal point. We write 7. Then, for our fraction, we look at how many spaces we have after the decimal point. We have three. So, that means our fraction is 125/1000. Our mixed number is 7 125/1000. Is this our final answer, though? No, because 125/1000 can be simplified. We can divide both the numerator and denominator by the same number. Both can be divided by 125. Doing this, our fraction part simplifies to 1/8. So, our final answer is 7 1/8.

One more example. Convert 4 1/4 to a decimal. We write out the whole number followed by a decimal point. Then we go ahead and divide our fraction part. 1/4 calculates into .25. So, my decimal is 4.25. And I am done!

Let's review what we've learned. **Decimals** are numbers with a decimal point in them. **Mixed numbers** are numbers consisting of a whole number plus a fractional part. We can easily convert them. The only kinds of decimals that we cannot convert into a mixed number are decimals that don't end and never repeat. All others can be converted to a mixed number or fraction.

To convert a decimal that ends into a mixed number, we first write the number in front of the decimal point. Then, for the fraction part, we look at the part after the decimal point. We write out the numbers after the decimal point in our numerator. Our denominator is 1 followed by zeroes. The number of zeroes is equal to the number of spaces we have after the decimal point. If we can simplify our fraction further, we go ahead and do so. Otherwise, we are done.

To convert a mixed number into a decimal, we first write out the whole number followed by a decimal. Then we divide the fraction part to find out the numbers that go after the decimal.

Following this lesson, you should have the ability to:

- Define decimal and mixed number
- Recall which decimals cannot be converted into a mixed number
- Convert a decimal to a mixed number and a mixed number to a decimal

To unlock this lesson you must be a Study.com Member.

Create
your account

Already a member? Log In

BackDid you know… We have over 95 college courses that prepare you to earn credit by exam that is accepted by over 2,000 colleges and universities. You can test out of the first two years of college and save thousands off your degree. Anyone can earn credit-by-exam regardless of age or education level.

To learn more, visit our Earning Credit Page

Not sure what college you want to attend yet? Study.com has thousands of articles about every imaginable degree, area of study and career path that can help you find the school that's right for you.

You are viewing lesson
Lesson
2 in chapter 15 of the course:

Back To Course

6th-8th Grade Math: Practice & Review55 chapters | 468 lessons

- Inequalities with Decimals 5:36
- Converting Decimals to Mixed Numbers 5:44
- Adding and Subtracting Decimals: Examples & Word Problems 6:53
- Multiplying and Dividing Decimals: Examples & Word Problems 5:29
- How to Estimate with Decimals to Solve Math Problems 8:51
- Estimating Sums, Differences & Products of Decimals 5:53
- Solving Problems Using Decimal Numbers 6:57
- Estimation: One & Two Operation Problems with Positive Decimals 5:31
- Guess and Check: One & Two Operation Problems with Positive Decimals 6:47
- Look for a Pattern: One & Two Operation Problems with Positive Decimals 7:10
- Solving Multi-Step Inequalities with Decimals 8:01
- Maps with Decimal Distances 4:17
- How to Simplify Expressions Involving Decimals 5:04
- Go to 6th-8th Grade Math: Operations with Decimals

- Developing Adaptable Teams & Employees
- Effective Delegation Skills for Supervisors
- ORELA Essential Academic Skills: Practice & Study Guide
- Math 108: Discrete Mathematics
- ORELA Elementary Education - Subtest II: Practice & Study Guide
- Developing Adaptable Employees
- Proactive Employees & Team Problem Solving
- Organizational Change Management
- Identifying Competencies & Training Needs
- Relations Between Labor & Management
- How to Request a CLEP Transcript
- CLEP Exam Dates & Testing Center Locations
- CLEP Scoring System: Passing Scores & Raw vs. Scaled Score
- Continuing Education Opportunities for Molecular Biology Technologists
- WV College & Career Readiness Standards for Social Studies
- Common Core State Standards in Ohio
- Resources for Assessing Export Risks

- Required Rate of Return (RRR): Formula & Calculation
- Fixed Phrases: Definition, Examples & Practice
- Why Do Workers Join Unions? - Benefits & Reasons
- Rigid Motion in Geometry
- Electronic Health Records & Evidence-Based Medicine
- Symmetry in Insects: Types & Examples
- Native American Mathematics: History & Mathematicians
- Behavioral Health Quality: Framework & Measurement
- Quiz & Worksheet - Animal Population Size
- Quiz & Worksheet - Psychoanalyst Anna Freud
- Quiz & Worksheet - Potassium Chromate
- Quiz & Worksheet - Understsanding Transaction Processing Systems
- Quiz & Worksheet - Decomposing Numbers
- Tourism Marketing Flashcards
- Tourism Economics Flashcards

- GED Science: Tutoring Solution
- 9th Grade English Curriculum Resource & Lesson Plans
- Ohio Assessments for Educators - Integrated Social Studies: Practice & Study Guide
- English 101: English Literature
- Creating a Business Plan
- AP Biology - Animal Behavior: Tutoring Solution
- AP Biology - Evolution: Homework Help
- Quiz & Worksheet - Amino Acid Sequences
- Quiz & Worksheet - Working with the Segment of a Circle
- Quiz & Worksheet - SUM Function in Excel
- Quiz & Worksheet - Alkaline Water
- Quiz & Worksheet - How Dialogue Propels Action in Literature

- The Fall of Saigon During the Vietnam War: Causes and Timeline
- Rhythm & Meter: Terms & Styles
- Homeschooling in Michigan
- Understanding TELPAS Scores
- Homeschooling in Michigan
- WIDA Can Do Descriptors for Grades 6-8
- Nebraska State Science Standards
- Kentucky Homeschool Laws
- Arizona Science Standards
- 6th Grade South Carolina Science Standards
- North Carolina Homeschool Laws
- Adult Learning Resources

Browse by subject