The Mixed Number Calculator

How to use a The Mixed Number Calculator in ayto-villaquilambre.com

A mixed numbers calculator is also known as a mixed fraction. This calculator handles simple operations on whole numbers, mixed numbers, fractions, integers, and improper fractions. The online mixed number calculator can add, subtract, divide, and multiply fractions and mixed numbers.

What Is a Mixed Number?

A mixed number is a number that is made up of a whole number and a fraction. Mixed numbers represent a number between any two whole numbers. They are created by combining three parts:

  • Whole number

  • Numerator

  • Denominator

How to Use a Mixed Fraction Calculator

Using the mixed number calculator is easy. Follow the steps below to use the mixed fraction calculator.

  • Select the arithmetic operations and enter two mixed fractions in the provided input boxes.

  • Tap the calculate button to get the results of addition, subtraction, division, and multiplication of the two mixed fractions.

How to Add mixed Numbers using Addition Fraction Formula

  • Change the mixed numbers into improper fractions.

  • Add the improper fractions using the following formula: a/b + c/d = (ad + bc) / bd

  • Reduce the fraction.

  • Simplify the fraction, if possible.

Subtract Mixed Numbers using the Subtraction Fractions Formula

  • Convert the mixed numbers to improper fractions.

  • Subtract the improper fractions using the following formula:  a/b - c/d = (ad - bc) / bd

  • Reduce the fraction.

  • Simplify the fraction, if possible.

Divide Mixed Numbers using the Division Fractions Formula

  • Convert all the mixed numbers to improper fractions.

  • Divide the improper fractions using the following formula: a/b ÷ c/d = ad/bc

  • Reduce the fraction.

  • Simplify the fraction, if possible.

Multiply Mixed Numbers using the Multiplying Fractions Formula

  • Convert all the mixed numbers to improper fractions.

  • Multiply the improper fractions using the following formula: a/b * c/d = ac / bd

  • Reduce the fraction.

  • Simplify the fraction, if possible.

Summary of Arithmetic Operations 

 

Arithmetic Operations

Fractions Formula

Example

Addition

a/b + c/d = (ad + bc) / bd

Add 2 1/8 and 1 2/4

2 1/8 + 1 2/4 = 17/8 + 6/4 = (17*4 + 6*8) / 8*4 = 116 / 32

So, we get 116/32 and simplify to 3 5/8

Subtraction

a/b - c/d = (ad - bc) / bd

Subtract 2 1/8 from 1 2/4

1 2/8 - 1 2/4 = 17/8 - 6/4 = (17*4 - 6*8) / 8*4 = 20 / 32

Reduce the fraction to 5/8

Division

 a/b ÷ c/d = ad / bc

divide 1 2/6 by 2 1/4

1 2/6 ÷ 2 1/4 = 17/8 ÷ 6/4 = 17*4 / 6*8 = 68 / 48

Reduce the fraction to 17/12 and simplify it to 1 5/12

Multiplication

a/b * c/d = ac / bd

multiply 2 1/8 by 1 2/4

2 1/8 * 1 2/4 = 17/8 * 6/4 = 17*6 / 8*4 = 102 / 32

Reduce the fraction to get 51/16 and simplify to 3 3/16

Conclusion

An online mixed number calculator is a valuable tool that handles basic operations with mixed numbers, integers, and fractions. From addition and subtraction to division and multiplication, it produces results in seconds. The MathMaster mixed number calculator is a reliable and easy-to-use mixed number calculator for all kinds of users. It’s a great tool to help you perform arithmetic operations on mixed numbers quickly and accurately.

FAQs

  1. How do I use a mixed number calculator?

Simply enter the mixed numbers in the input field and click the calculate button. The calculator will then display the result.

  1. Is the online mixed fraction calculator free to use? Yes, the online mixed fraction calculator is free to use. It is a great way to quickly and easily perform operations on mixed fractions.

  2. Where can I find the free online mixed fraction calculator?

MathMaster gives a free mixed number calculator and you can make use of this online tool freely.