What is a mixed number?

Besides natural numbers , prime numbers , square numbers , etc., mixed numbers also appear in mathematics. So what are mixed numbers? How to convert mixed numbers to fractions? Please read the article below to better understand this mathematical knowledge.

Mixed number

What is a mixed number?

A mixed number is a combination of a whole number and a fraction.

The fractional part of a mixed number is always less than 1.

For example: You have 1 apple and half an apple, which is 1/2 an apple. Normally, you would say you have 1.5 apples, but in maths you would use a mixed number to represent this quantity. What is a mixed number?

How to read mixed numbers

The components of a mixed number include the integer part and the fractional part. When reading a mixed number, we read the integer part first and then the fractional part.

What is a mixed number?

How to convert mixed numbers

How to convert fractions to mixed numbers

To convert a fraction to a mixed number, follow these steps:

  • First take the numerator and divide it by the denominator.
  • The integer part will be the integer in the mixed number.
  • The remainder will be the new numerator of the fraction.
  • The denominator remains the same.

For example: Given the fraction 9/2, express the above fraction as a mixed number.

How to do it:

  • Step 1: Take the numerator and divide it by the denominator, that is, take 9 : 2 = 4 and the remainder is 1.
  • Step 2: The result of the division by 4 is the integer part of the mixed number, the remainder is 1 and will be the new numerator.

The mixed number obtained is:

Note:

  • Any fraction with a numerator larger than its denominator can be converted to a mixed number and vice versa.
  • However, if the numerator is equal to or less than the denominator, it cannot be done.

How to convert mixed numbers to fractions

To do this, follow these steps:

Step 1: Take the denominator and add the result to the denominator.

Step 2: Replace the result in step 1 into the new numerator, keeping the same denominator. We get a new fraction from the given mixed number.

Example: Convert the following mixed number to a fraction.

Note:

All mixed numbers can be converted to fractions.

How to add, subtract, multiply and divide mixed numbers

Addition, subtraction, multiplication and division can be performed on mixed numbers in two ways as follows:

How to add and subtract mixed numbers

Method 1: Convert mixed numbers to fractions and then calculate.

Convert mixed numbers to fractions and then perform calculations.

For example:

Method 2: Add the integer part with the integer part, the fractional part with the fractional part

We separate the integer part to perform addition or subtraction, then perform the same calculation with the fraction part. This method only applies if the 2 mixed numbers are not negative.

How to multiply and divide mixed numbers

  • Add or subtract mixed numbers by writing the mixed number as a fraction and then adding or dividing the fraction.
  • When multiplying or dividing a mixed number by a whole number, we can write the mixed number as a sum of a whole number and a fraction.

For example:

Leave a Comment

How to Fix Microsoft Teams Đăng nhập Error (Login)

How to Fix Microsoft Teams Đăng nhập Error (Login)

Struggling with Microsoft Teams "Đăng nhập" login error? Discover step-by-step fixes for smooth sign-in. Clear cache, update app, and more – no tech skills needed! Works on Windows, Mac, and web.

Solving Microsoft Teams Web Error 503 Service Unavailable

Solving Microsoft Teams Web Error 503 Service Unavailable

Tired of Microsoft Teams Web Error 503 Service Unavailable blocking your meetings? Discover quick, step-by-step fixes to resolve the 503 error fast – no tech skills needed! Clear cache, check status, and get back to collaborating seamlessly.

Troubleshooting Microsoft Teams Update Error 0x80070002

Troubleshooting Microsoft Teams Update Error 0x80070002

Stuck with Microsoft Teams Update Error 0x80070002? Discover proven troubleshooting steps to resolve this frustrating issue quickly and get your Teams app updated seamlessly for uninterrupted collaboration.

Solving Microsoft Teams Error AADSTS50020: User Account Conflict

Solving Microsoft Teams Error AADSTS50020: User Account Conflict

Tired of Microsoft Teams Error AADSTS50020 blocking your sign-in? Discover step-by-step fixes for user account conflicts, backed by the latest Azure AD solutions. Get back to work fast!

How to Fix Microsoft Teams Microphone Error No Sound

How to Fix Microsoft Teams Microphone Error No Sound

Tired of Microsoft Teams microphone error with no sound? Discover quick, step-by-step fixes for Teams mic not working on Windows, Mac, and more. Restore crystal-clear audio in minutes!

How to Fix Microsoft Teams Task Management Error

How to Fix Microsoft Teams Task Management Error

Tired of the Microsoft Teams "Task Management" Error disrupting your workflow? Discover proven fixes like clearing cache, updating Teams, and troubleshooting permissions to get back to seamless collaboration in minutes. Updated with the latest solutions.

How to Fix Microsoft Teams How to Teams Help Error

How to Fix Microsoft Teams How to Teams Help Error

Frustrated by the Microsoft Teams 'How to Teams' Help Error? Discover proven, step-by-step solutions to fix it quickly and restore smooth help access. Latest 2026 updates included for seamless teamwork.

Solving Microsoft Teams Room Error Syncing

Solving Microsoft Teams Room Error Syncing

Struggling with Microsoft Teams "Room Error" Syncing? This ultimate guide provides step-by-step fixes for Microsoft Teams Room Error Syncing issues, ensuring seamless meetings and quick resolutions. Updated with the latest tips.

Troubleshooting Microsoft Teams Workflows Power Automate

Troubleshooting Microsoft Teams Workflows Power Automate

Master troubleshooting Microsoft Teams Workflows Power Automate issues with step-by-step fixes for common errors. Get your automations running smoothly – no more frustration! Proven solutions for triggers, permissions, and more.

Solving Microsoft Teams Restart Error (2026)

Solving Microsoft Teams Restart Error (2026)

Struggling with Microsoft Teams "Restart Error" in 2026? Discover proven, step-by-step fixes to resolve the endless restart loop quickly. Clear cache, reset app, and more for seamless collaboration. Get back online fast!

How to Create Breakout Rooms in Microsoft Teams Before a Meeting

How to Create Breakout Rooms in Microsoft Teams Before a Meeting

Master how to create breakout rooms in Microsoft Teams before a meeting with this easy guide. Pre-assign participants, boost collaboration, and elevate your virtual sessions effortlessly.

How to Fix Microsoft Teams Layout Error: Sidebar Missing

How to Fix Microsoft Teams Layout Error: Sidebar Missing

Tired of Microsoft Teams sidebar missing? Get instant fixes for layout errors. Step-by-step guide with latest tips to restore your Teams sidebar fast and frustration-free.

Solving Microsoft Teams Download Error for Macbook

Solving Microsoft Teams Download Error for Macbook

Struggling with Microsoft Teams Download Error on MacBook? Get step-by-step fixes for smooth installation on the latest macOS. Solve download failed issues quickly and easily.

Solving Microsoft Teams Error J Accounts

Solving Microsoft Teams Error J Accounts

Tired of Microsoft Teams Error J blocking your accounts? Get instant fixes for Error J in Teams with step-by-step guides, cache clears, and account resets. Regain access fast—no tech skills needed!

Rethinking Document Management to Streamline Your Workflow

Rethinking Document Management to Streamline Your Workflow

Work slows down when files sit in too many places, approval steps feel confusing, and people spend more time searching than actually finishing tasks. Strong document management can bring order back without making daily work feel complicated.