Mixed Numbers Calculator

Instructions:
  • Enter your mixed numbers for each operand in the input fields.
  • You can use spaces, hyphens, or no spaces between whole numbers and fractions (e.g., "1 1/2", "1-1/2", "1/2").
  • Use the "+" button to add, "-" button to subtract, "*" button to multiply, and "/" button to divide the numbers.
  • Click "Clear" to clear the input fields and result.
  • Click "Copy" to copy the result to the clipboard.
Result:

What are Mixed Numbers?

A mixed number is expressed as a whole number alongside a proper fraction. For example, 3 1/2 is a mixed number where 3 is the whole number, and 1/2 is the fraction.

Conversion Between Mixed Numbers and Improper Fractions

Operations involving mixed numbers require converting them to improper fractions and vice versa.

  1. From Mixed Number to Improper Fraction:
    • Multiply the whole number by the denominator of the fraction.
    • Add the product to the numerator of the fraction.
    • The sum becomes the new numerator, with the denominator remaining the same.
    Example: Convert 3 1/2 to an improper fraction: 3∗2+1=73∗2+1=7, thus it becomes 7/2.
  2. From Improper Fraction to Mixed Number:
    • Divide the numerator by the denominator.
    • The quotient becomes the whole number part, and the remainder becomes the numerator of the fractional part, with the denominator remaining the same.
    Example: Convert 7/2 to a mixed number: 7÷2=37÷2=3 with a remainder of 1, so it becomes 3 1/2.

Operations on Mixed Numbers

1. Addition and Subtraction

These operations require converting mixed numbers to improper fractions:

  • Addition:
    • Convert to improper fractions.
    • If denominators differ, find a common denominator.
    • Add the numerators, keep the denominator.
    • Convert the result back to a mixed number if needed.
  • Subtraction:
    • Convert to improper fractions.
    • If denominators differ, find a common denominator.
    • Subtract the numerators, keep the denominator.
    • Convert the result back to a mixed number if needed.

2. Multiplication

Doesn’t require common denominators:

  • Convert to improper fractions.
  • Multiply the numerators for a new numerator.
  • Multiply the denominators for a new denominator.
  • Simplify and convert back to a mixed number if needed.

3. Division

Involves reciprocal of the divisor:

  • Convert to improper fractions.
  • Replace division with multiplication by the reciprocal of the second fraction.
  • Multiply as in multiplication.
  • Simplify and convert back to a mixed number if needed.

Benefits of Using the Mixed Numbers Calculator

  1. Accuracy: Ensures precise results, reducing human error in complex calculations.
  2. Efficiency: Automates time-consuming steps like finding common denominators and converting between mixed numbers and improper fractions.
  3. Educational Utility: Facilitates learning by providing step-by-step solutions, helping users understand the process.
  4. Convenience: Especially useful in professions requiring precise measurement calculations (e.g., construction, culinary arts).

Interesting Facts

  • Mixed numbers are more intuitive in everyday language (e.g., “2 and a half” vs. “five halves”).
  • Some cultures and mathematical practices prefer improper fractions over mixed numbers.
  • Working with mixed numbers can enhance mental math skills and understanding of number theory.

Last Updated : 13 February, 2024

dot 1
/10

Education Quiz

Test your knowledge about topics related to education

1 / 10

What is GPA used for?

2 / 10

What is the name of the famous Greek philosopher who taught Alexander the Great?

3 / 10

We've all heard of a pandemic, but what is an 'infodemic'?

4 / 10

Who invented the printing press?

5 / 10

What is the name of the standardized test used for college admissions in the United States?

6 / 10

What is the most widely spoken language in the world?

7 / 10

In which year was the first college in the United States founded?

8 / 10

The purpose of the evaluation is to make?

9 / 10

Dr. Luke attends to emotionally disturbed students. Which service is being provided by Dr. Luke?

10 / 10

Who painted the famous artwork “The Starry Night”?

Your score is

0%

One request?

I’ve put so much effort writing this blog post to provide value to you. It’ll be very helpful for me, if you consider sharing it on social media or with your friends/family. SHARING IS ♥️

Want to save this article for later? Click the heart in the bottom right corner to save to your own articles box!