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Mixed Number Calculator






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An online mixed number calculator is a free and best tool that allows you to add, subtract, multiply, and divide the mixed number fraction. In simple terms, this fraction and whole number calculator allows you to solve fraction problems with whole numbers and fractions form. This calculator not only simplified mixed number fractions but also shows step-by-step calculation and result in decimal corresponding to the given inputs.

Well, in this post, we help you in understanding how to add (+), subtract (-), multiply (×), and divide (÷) manually and by using an online calculator. But, it’s time to explore some basic terms, know what? Read on!

What is a Mixed Number?

A mixed number can be defined as a combination of a whole number and a proper fraction that are existing together. Because of such mixture, a mixed fractions calculator can add, subtract, multiply, and divide every mixed number to solve math problems easily. Furthermore, mixed numbers usually denote a digit that exists among any two whole numbers. It can be created by combining 3 parts, that are:

  • Whole number
  • Numerator
  • Denominator

On the basis of this combination a mixed number is recognized as a partially whole number and a partially fraction. For example, if the mixed number is 2(1/5) then:

  • Whole number: 2
  • Numerator: 1
  • Denominator: 5

An online mixed number calculator is the tool that helps to perform calculations with 3 parts of mixed numbers that are “whole number”, “denominator” and “denominator”.

How to Add Mixed Fractions?

Mixed numbers are also known as mixed fractions. Adding mixed fractions can be done conveniently by using a simple algebraic formula if you are doing manual calculations. Also, an online adding mixed numbers calculator allows you to add mixed fractions instantly. The formula is:

  • (A divided by b) + (c divided by d)= (a multiplied by d) + (b multiplied by c)/ (b multiplied by d)

Example:

If we have two mixed numbers:

  • 1 (4 / 6)
  • 2 (2 / 4)

Put the values in the above formula:

  • 1 (4 / 6) + 2 (2 / 4) = 10 / 6 + 10 / 4
  • (10 * 6) + (10 * 4) / 6 * 4

(60) plus(40) divided by(24) = 100 over 24

  • On simplifying:100 / 24 = 25 / 6
  • 4 (1 /6)= 4.16

However, for adding mixed fractions use of a mixed number fraction calculator can provide support for quick and error free results.

How to Subtract Mixed Numbers?

Subtracting mixed fractions sounds complicated but you can do it manually with the help of formula. Adding and subtracting mixed numbers can be done in same way with the similar formula equation but with changed signs. All you have to do is substitute the addition sign with the subtraction sign in the above formula:

(A divided by B) – (C divided by D)= (A multiplied by D) -(B multiplied by C) / (B multiplied byD)

Example:

If we have two mixed numbers:

  • 1 (4 / 6)
  • 2 (2 / 4)

Put the values in the above formula:

  • 1 (4 / 6) – 2 (2 / 4) = 10 / 6 – 10 / 4
  • (10 * 4) – (10 * 6) / 6 * 4
  • (40)– (60)divided by 24 = – 20 divided by 24
  • On simplifying: – 5 / 6 = – 0.8333

However, you can easily add and subtract mixed numbers with our online mixed number calculator.

How to Multiply Mixed Numbers?

Multiplying mixed fractions can be done in three simple steps:

  • Convert all the improper fractions into proper ones.
  • Apply the algebraic formula for multiplying fractions with mixed numbers: a / b * c / d = a * c / b * d.
  • Simplify and reduce the fraction to the possible value.

Example:

If we have two mixed numbers:

  • 1 (4 / 6)
  • 2 (2 / 4)

Apply the formula and put values in it: a / b * c / d = a * c / b * d.

  • 10/ 6 * 10/ 4 = 10 * 10/ 6 * 4
  • 100 / 24

On simplifying the equation: 100 / 24 = 26 / 6 = 4 (1/6)

In decimals: 4.166.

Though, multiplying mixed numbers with a mixed fraction calculator is the most suitable option for handling such complicated calculations.

How to Divide Mixed Fractions?

Quit worrying! An online dividing mixed fractions calculator lets you divide mixed fractions within a fraction of seconds. But, if you want to show your work in class (step-by-step) regarding dividing mixed fractions, then we help you with an example to solve such complicated calculations manually.

Example:

Two mixed numbers are:

1 (4 / 6)

2 (2 / 4)

For dividing mixed numbers formula is: A / b divided by c / d = a * d / b * c

On putting values in the above formula we will get: 10 / 6 divided by 10 / 4 = 10 * 4 / 10 * 6 = 40 / 60

0n simplifying we will get: 2 / 3 = 0.6667

About Mixed Number Calculator:

This mixed fraction calculator by calculator-online is the smart tool that helps you in adding, subtracting, multiplying, and dividing mixed numbers fraction. This calculator for simply mixed fractions and allows you to change a mixed number to an improper fraction/proper fraction or vice versa.

How to Use this Mixed Number Calculator (Add, Subtract, Multiply, & Divide):

Well, simplify mixed fractions calculator is 100% free tool that simplifies the given mixed fractions number within a blink of eyes, just follow the given step to attain instant outcomes:

Inputs:

  • All you need to enter the values of mixed fraction into designated boxes of this calculator
  • Next, you just need to choose the operator sign by which you want to simplify mixed numbers, it can either be (+, -, ×, ÷)

Remember: If your mixed fractions number consists of negative or minus sign (-), then all you need to put a minus (-) while adding the value into the given fields of this calculator.

Outputs:

So, once you filled the above fields, simply make a hit on the calculate button, this calculator will show:

  • Simplify mixed fraction numbers
  • The step-by-step calculation for the given mixed fractions
  • Mixed number fraction for the given result (if possible)
  • Decimal of the provided result (if possible)

How to Change a Mixed Number to An Improper Fraction?

Mixed number to improper fractions calculator can convert mixed numbers to an improper fraction with ease. However manual calculations can also be done in following three steps:

  • In the first step you have to multiply the given whole number with present denominator.
  • Now the result of the first step will be added into the numerator.
  • Obtained results from Step 2 will be written over the denominator as a final outcome.

Example:

3(5 / 9) is the mixed number. Convert it into an improper fraction without using mixed number fraction calculator.

  • Step 1: 9 (denominator) * 3 (whole number) = 27
  • Step 2: 27(outcome of step 1) + 5(numerator) = 32
  • Step 3: 32(outcome of step 2) / 9(denominator of original equation)
  • Answer = Improper equation: 32 / 9.

How to Turn an Improper Fraction into a Mixed Number?

Try online improper fractions to mixed numbers calculator that helps you to turn an improper fraction to a mixed number instantly and accurately. However manual calculations involve the following steps:

  • In the first step you have to divide the numerator of the mixed number by its own denominator.
  • Pen down the whole number outcome from above step.
  • Now write the remainder as the fresh numerator or upper number over the existing denominator of mixed number.

Example:

Convert Improper fraction: 16 / 3 into a mixed number.

Follow the above-explained steps:

  • Step 1: 16 / 3 = 5 and the remainder is 1.
  • Step 2: identification of whole number: 5
  • Step 3: reminder will be numerator whereas denominator will remain same = 1 / 3 = 5 (1 / 3)
  • Mixed number: 5 (1 / 3)

FAQ’s (Mixed Numbers):

How do you write a mixed number on a calculator?

All you need to press “1” on your calculator, simply followed by the plus (+) sign. The “1” is symbolizes the whole number of the mixed fraction and add the numerator, or the top number of the fraction.

What is 8 4 as a mixed number?

The greatest common factor of 8/4 is 2, so when we divide both numerator and denominator by 2, we got the answer 2/1, means only 2. So, 2 are not expressed as a mixed number further.

What is 7/4 as a mixed number?

7/4 is expressed in a mixed number or mixed fraction as 1 3/4, 1 is said to be as a whole number, 3 as a numerator, and 4 as a denominator.

What are some examples of mixed numbers?

A mixed number is said to be a combination of a whole number and a fraction. As an example: if you have two whole pears and one half pears, you could express this as a mixed number: 2 + 1/2 pears, or 2 1/2 pears.

What is 9 4 as a mixed number?

9/4 is expressed in a mixed number as 2 1/4, 2 indicated as a whole number, 1 as a numerator and 4 as a denominator.

What is 3/2 as a mixed number?

3/2 is expressed as a mixed fraction/number as a 1 1/2, 1 is indicated as whole number, 1 is numerator & 2 is denominator, respectively.

What is 4/3 as a mixed number?

4/3 is expressed in mixed number as 1 1/3.

What is 7 3 as a mixed number?

7/3 is expressed in mixed number as 2 1/3.

What is 8 over 3 as a mixed number?

8 over 3 or 8/3 is expressed in mixed number as a 2 2/3.

What is 11 3 as a mixed number?

1 1/3 as a mixed number is expressed as 3 2/3.

Takeaway:

Mixed Number Calculator gives you a step-by-step procedure for addition, deduction, multiplication, and division for all the given mixed numbers. Furthermore; it can also deal with multiple fractions as well as with whole numbers instantaneously. It can serve as a fraction solver, and even as a mixed fraction calculator. This is why it is full support for students and professionals dealing with mixed number calculations to save their time and energy along with precise and accurate results.

References:

From the source of math(wikia): The basic math definition of Mixed number

The authorized source of onlinemathlearning provided with: Convert Mixed Numbers To Improper Fractions and vice versa

From the source of splashlearn you can be able to explore all about: Simplify Mixed Numbers – Definition with Examples

From the source of greenemath: Operations with Mixed Numbers Lesson – How to Add, Subtract, Multiply, & Divide Mixed Numbers