Mixed Number Calculator

If you are not interested in the manual conversion of mixed numbers. Then use the mixed number calculator to get accurate and quick results.

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Table of Contents:

Introduction to a Mixed Number Calculator

Mixed number calculator is an online tool that helps you to calculate mixed numbers or mixed fractions problems in a few seconds. Our tool determines the mixed fraction and reduces it into the simplest form of fraction in solution.

Mixed Number Calculator with steps

Mixed fraction calculator is a beneficial tool used to remove mistakes during the evaluation process and provide exact solutions to your given questions.

A mixed numbers calculator is a learning source for students, educators, and professionals who study fractions and arithmetic concepts to enhance productivity in mixed numbers.

What is a Mixed Number?

A mixed number is a specific type of fraction that combines a whole number and a proper fraction. It represents a mathematical value that is more than one whole unit and a fractional part value.

For example in a mixed number 3 1/2, "3" is the whole number part, and "1/2" is the fractional part. Mixed numbers measure the quantities or amount, length, weight, volume, or time that are not whole numbers.

How to Calculate Mixed Number Fractions Using Mixed Fraction Calculator

Mixed number calculates the simplest method to solve the fraction into the simplest form in step by step method. You need to know about some basic rules for solving mixed fraction problems using a mixed number calculator.

Step 1:

For the calculation, change the mixed number into a proper fraction. First, multiply the whole number by the denominator of the fractional part and add the numerator. For example,

$$ 2 \frac{1}{3}\; becomes $$

$$ 2 \frac{1}{3} \;=\; (2 \times 3)+ \frac{1}{3} $$

$$ =\; 6+ \frac{1}{3} $$

$$ =\; \frac{7}{3} $$

You can also use a fraction calculator with whole numbers to simplify this process and ensure accuracy in your calculations.

Step 2:

Once the mixed numbers are converted into improper fractions, then apply your desired arithmetic operation (addition, subtraction, multiplication, or division) on the given fractions. You can also use the calculator for fractions mixed to perform these operations accurately and efficiently.

Step 3:

After applying the basic arithmetic method, simplify the resulting fraction if possible by reducing it to its lowest terms. You can also use a fraction solver with whole numbers to simplify the process and ensure the fraction is in its lowest terms.

Solved Example of Mixed Number Fraction

Let’s see a practical example of how to solve the mixed number fraction by using our mixed fraction calculator. Sometimes you need to understand the manual calculations and for that, we are going to give you an example.

Example:

Simplify the following:

$$ 3 \frac{1}{4} + 2 \frac{1}{3} $$

Solution:

$$ 3 \frac{1}{4} + 2 \frac{1}{3} \;=\; \biggr( 3 + \frac{1}{4} \biggr) + \biggr( 2 + \frac{1}{3} \biggr) \; Mixed\; fractions\; as\; sums $$

$$ ( 3+ 2) + \biggr( \frac{1}{4} + \frac{1}{3} \biggr) \; Reorder\; and\; regroup $$

$$ 5 + \biggr( \frac{1 . 3}{4 . 3} + \frac{1 . 4}{3 . 4} \biggr) $$

Add whole numbers: 3 + 2 = 5,

Equivalent fractions; LCD = 12,

$$ 5 + \biggr( \frac{3}{12} + \frac{4}{12} \biggr) $$

Simplify numerators and denominators,

$$ 5 + \frac{7}{12} $$

Add numerators over common denominators.

So, the solution is:

$$ 3 \frac{1}{4} + 2 \frac{1}{3} \;=\; 5 \frac{7}{12} $$

How to Use a Mixed Numbers Calculator Stepwise

Mixed number fraction calculator has a simple design tool that enables you to use it to calculate the mixed number problems.

Before entering the input number into a mixed fractions calculator, you must follow some simple steps so that you do not get into trouble during the calculation. These steps are:

  1. Choose the mathematic operation (addition, subtraction, product, and division) that you want to evaluate for mixed number
  2. Enter the first fraction value in the input box.
  3. Enter the second fraction value in the input box.
  4. Review your input number before hitting the calculate button to start the evaluation process.
  5. Click the “Calculate” button to get the result of your given mixed number problem.
  6. If you want to try out our mixed number calculator for the first time then you can use the load example to get a better understanding of the concept of mixed number
  7. Click on the “Recalculate” button to get a refresh page for more solutions of mixed number problems

Final Result of Mixed Number Calculator

Mixed fraction calculator gives you the solution to a given problem for basic operations when you add the input into it. It provides you with solutions with a detailed procedure instantly. It may be contained as:

  • Result option

When you click on the result option, it gives you a solution for the mixed number to find the given problem.

  • Possible steps

It provides you with a solution in which all the evaluation processes are present in a step-by-step method of the mixed number problem.

Benefits of Using Mixed Number Fraction Calculator

Mixed numbers calculator provides you with multiple benefits whenever you use it to calculate mixed fraction problems and gives you a solution. These benefits are:

  • Mixed number calculator is a free-of-cost tool that enables you to use it anytime to find the mixed fraction problem in real-time.
  • fraction calculator with whole numbers is a versatile tool that allows you to get the solution of basic operation of mixed number problems
  • You can try out our calculator to practice more examples of mixed numbers, you get a strong hold on this concept
  • Our calculator fractions mixed saves the time that you spend on doing the mixed number calculations problems.
  • A fraction solver with whole numbers is a trustworthy tool that provides you with accurate solutions whenever you use it to calculate mixed numbers for the sum, subtraction, division, and product examples without any error.
  • Mixed number fraction calculator provides the solution with a complete process in a stepwise method so that you get clarity on the mixed number problems.
Related References
Frequently Ask Questions

What is 7 1/6 as a mixed number?

For the solution of 7/6, first convert the improper fraction 7/6 where you divide 7 by 6.

\begin{array}{r} 1 \\[-3pt] 6 \enclose{longdiv}{7} \\[-3pt] \underline{-6}\phantom{2} \\[-3pt] 1 \\[-3pt] \end{array}

$$ 7 ÷ 6 \;=\; 1 R1 $$

Therefore,

$$ \frac{7}{6} \;=\; 1\frac{1}{6} $$

So, 7/6 as a mixed number is 1 1/6

How to turn an improper fraction into a mixed number?

To convert the improper fraction into a mixed number, you divide the numerator by the denominator. The quotient part becomes the whole number, and the remainder change into the numerator as a fractional part.

There are steps to change an improper fraction into a mixed number.

  1. Divide the numerator by the denominator.
  2. Then write the whole number as the quotient part.
  3. The remainder change into the numerator as the fractional part.
  4. Although the denominator remains the same during conversion of fraction.

It divide the numerator by the denominator, use the whole number quotient, and the remainder becomes the numerator of the fractional part.

What is 8/6 as a mixed number?

To convert the improper fraction 8/6 into a mixed number, follow these steps:

  1. First, divide the numerator (8) by the denominator (6).
  2. Then write the whole number as the quotient part.
  3. The remainder change into the numerator as the fractional part.
  4. Although the denominator remains the same during conversion of fraction.

$$ =\; \frac{8 ÷ 2}{6 ÷ 2} \;=\; \frac{4}{3} $$

\begin{array}{r} 1 \\[-3pt] 3 \enclose{longdiv}{4} \\[-3pt] \underline{-3}\phantom{2} \\[-3pt] 1 \\[-3pt] \end{array}

$$ 4 ÷ 3 \;=\; 1 R1 $$

Therefore,

$$ \frac{4}{3} \;=\; 1\frac{1}{3} $$

Thus,8/6 as a mixed number is 1 1/3

How to Add Mixed Numbers?

When you add the mixed numbers it involves both the whole number parts and the fractional parts. Here are the general steps to add mixed numbers.

  1. First, add the whole numbers together.
  2. Second, add the fractions numbers together.
  3. If the sum of the fractions is an improper fraction, then you can convert it to a mixed number using the division method to reduce the fraction.

How to Multiply Mixed Numbers?

To multiply the mixed numbers, you can follow some steps.

  1. For each mixed number, multiply the whole number by the denominator, then add the numerator.
  2. Write the sum on the original denominator to get an improper fraction.
  3. If you have two improper fractions, multiply them together. After that, it multiplies the numerators and multiplies the denominators to get the new denominator.
  4. Simplify, If possible by finding the greatest common divisor (GCD) of the numerator and denominator and dividing both by it.
  5. If necessary, you can convert the resulting improper fraction back to a mixed number by the division method.

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