Fraction Calculator With Step-by-Step Solution

The online fraction calculator is a handy tool for performing various operations with fractions. Here are the main functions it can perform:

Add fractions: The calculator allows you to add two or more fractions, automatically reducing them to a common denominator and simplifying the result.
Subtract fractions: Users can subtract one fraction from another, and the calculator also reduces the fractions to a common denominator before performing the operation.
Multiply fractions: The calculator easily multiplies fractions, providing a simplified result.
Dividing fractions: The calculator divides one fraction by another, applying the reciprocal rule and simplifying the result.
Reduce to a common denominator: Users can enter multiple fractions, and the calculator automatically finds a common denominator for all fractions, making addition and subtraction operations easier.
Mixed to simple: The calculator allows you to enter mixed numbers and convert them to improper fractions for easy further calculations.
Fraction Simplification: After performing operations, the calculator automatically simplifies the result if possible, providing the answer in the simplest form.
Finding the greatest common divisor (GCD): Users can enter two or more numbers, and the calculator calculates their GCD, which is useful for simplifying fractions.
Intuitive Interface: The calculator has a simple and intuitive interface, allowing you to easily enter data and get results.

This calculator will be useful for both students and anyone working with fractions, providing fast and accurate results.

The fraction calculator follows the generally accepted rules for performing operations with fractions. However, in some cases, it may ignore these rules to offer a more elegant and simple solution.

Adding fractions

1. Adding fractions can be done in several steps. Here is a step-by-step guide:Determining denominators: If the fractions have different denominators, then you need to bring them to a common denominator. In this case, it is desirable to find the least common multiple (LCM) of these denominators. This will be your common denominator.
2. Multiplying numerators: Multiply the numerators by the number needed to get a common denominator.
3. Add fractions: Add the numerators of the fractions, leaving a common denominator.
4. Check if a fraction can be simplified: Find the greatest common divisor (GCD) of the numerator and denominator.
5. Extracting the integer part: if you get an improper fraction in your answer, convert it to a mixed form.

Subtracting fractions
Subtracting fractions is done using the same instructions as adding fractions, only instead of adding numerators, subtract numerators. If the result of subtracting numerators is zero, then the result of subtracting fractions is zero.

Multiplying fractions
Here are step-by-step instructions for multiplying fractions:

1. Multiplied numerators: multiply the numerator of the first fraction by the numerator of the second fraction.
2. Multiply denominators: multiply the denominator of the first fraction by the denominator of the second fraction.
3. Write down the result: write down the resulting fraction, where the numerator is the result of multiplying the numerators, and the denominator is the result of multiplying the denominators.
4. Reduce the fraction (if possible): check if the resulting fraction can be reduced. To do this, find a common factor of the numerator and denominator and divide them by it.
5. Isolate the whole number: if the numerator is greater than the denominator, convert the fraction to a mixed number.

Dividing fractions
To divide one fraction by another, you need to:

1. Flip any fraction: find the reciprocal fraction of any of the two fractions. To do this, swap the numerator and denominator.
2. Multiplication of fractions: multiply the resulting fraction by the second fraction.
3. Reduce the fraction (if possible): check if the resulting fraction can be reduced. To do this, find a common factor of the numerator and denominator and divide them by it.
4. Isolate the whole number: if the numerator is greater than the denominator, convert the fraction to a mixed number.