Fraction Calculator: Add, Subtract, Simplify & Convert

Introduction

The bane of mathematics is fractions. Dealing with numerators and denominators can be annoying whether you are a student solving algebra or a carpenter measuring a bit of lumber or a cook modifying a recipe.

Our online Fraction Calculator is the most free and it is the best shortcut to solve these problems in a jiffy. It is in fact a package of five strong calculators all on one platform. Since there are basic mixed fraction calculators that can perform addition and subtraction, to specialized ones that simplify fractions and change decimals to fractions, you will find it all on this page. It even has a Big Number Fraction Calculator which solves equations that would bring even a normal calculator down.

What This Calculator Does

This overall instrument fulfills five different roles:

1. Operation Standard: Use the adding fractions calculator and subtracting fractions calculator to solve such equations as: ½ + ⅓.
2. Mixed Numbers: A specialized calculator of mixed numbers fraction math (e.g., 2 ¾).
3. Simplification: A simplify fractions calculator (also known as a fraction reduce calculator) is an immediate calculator that simplifies a fraction to the lowest terms.
4. Conversions: Change to either decimal to fraction calculator or fraction to decimal calculator.
5. Big Integers: A special unit of huge numbers (e.g., numerators of 20 or more digits).

Who Needs This Calculator?

• Students: To look up homework answers of partial fraction decomposition or simple arithmetic.
• Tradespeople: Necessary to add measurements in inches (e.g. 5/8 + 3/16).
• Scientists: Determining a specific ratio such as calculation of mole fraction or calculation of ejection fraction in cardiology.
• Chefs: Scaling recipes with mixed fractions.

Why It Is Useful

• Accuracy: Round off errors in science and construction are catastrophic. It is a tool that works as an accurate fraction and whole number calculator.
• Time–Saving: It is slow to find the Least Common Multiple (LCM) by hand. This tool does it instantly.
• Educational: It presents the simplified fraction, which students get to know how numbers relate to each other.

How to Use the Calculator

This tool is intuitive and we have made it so.

1. Fraction Standard Calculator
Type in the Numerator (top number) and Denominator (bottom number). Choose the operation: Add(+), Subtract (-), Multiply (x) or Divide (div). Click Calculate. The answer would be in the form of a proper fraction, improper fraction, and a mixed number.

2. Simplify Calculator
Enter a fraction like 220/440. Click “Simplify”. Reducing fractions calculator will give the result of 1/2.

3. Fraction to Decimal Calculator
Enter a decimal like 1.375. The instrument changes it to 1 3/8, which is an accurate calculator of a decimal fraction.

Functions: The Math of Fractions

In case you are wondering how to do fractions with a calculator manually, here is the reasoning.

Addition and Subtraction
In order to apply the adding fractions calculator reasoning, one has to determine a common denominator.

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

Example: 1/4 + 1/6. Common denominator is 12. 3/12 + 2/12 = 5/12.

Multiplication
The logic of the fraction multiplication with whole numbers calculator is simple. You multiply the tops and the bottoms.

a/b × c/d = ac / bd

Division
The opposite of this is to multiply by the reciprocal in order to divide.

a/b ÷ c/d = a/b × d/c

The Benefits of using this calculator

• Operates Big math: The majority of calculators crash with big numbers. Our big number fraction calculator can be used to work with 20 or more digit integer numbers.
• Versatility: It is a fraction to percent calculator and a fraction exponent calculator according to your requirement.
• Zero Errors: It is typical to have human error in the process of finding common denominators. This is an instrument that removes such a risk.

The most asked questions (FAQs)

What is the way to convert a fraction into a decimal calculator?
In order to express it manually, you can take the numerator, and then divide it by the denominator, that is, 1/2 = 0.5. This is done immediately that we divide a fraction into a decimal calculator.

What is the easiest way to simplify fractions on a calculator?
Majority of the standard calculators do not simplify. The calculator of our fraction simplifier determines the greatest common factor (GCF) and divides both numbers with it.

Is this applicable to negative fractions?
Yes. This calculator is a positive and negative fraction calculator.

What is an improper fraction?
An improper fraction is a fraction in which the numerator is greater than the denominator (e.g., 9/4). Our tool does this automatically as a mixed number: 2 1/4.

Percentage to fraction proportion?
Take the numerator and divide it by the denominator and multiply it by 100. Example: 4/5 = 0.8 = 80%. Our fraction to percentage calculator will do it in a jiffy.

Tips or Notes

• Reciprocals: When you are dividing keep in mind to invert the second fraction.
• Mixed Numbers: To multiply, one should always first put a mixed number in improper form. e.g. 1 1/2 = 3/2.
• Decimals: The logic of the repeating decimal to fraction calculator (enter the number 1/3) can be applied to a repeating decimal (such as 0.333…).