Fraction calculator that allows to do all types of calculations step by step on fractions.

A **fraction** is a number that is written as follows : `a/b` with a and b integers and b not zero.

The **fraction calculator** offers the possibility of
**online fraction calculations**,
it is able to **simplify a fraction** by putting in its irreducible fraction form,
it allows **simplifying fractions**, performing different arithmetic operations and returning
the result as a **reduced fraction**.

- add fractions
- subtract fractions
- multiply fractions
- divide fractions
- invert a fraction
- simplify a fraction
- simplify fractions with an exponent
- simplify fractions with letters (symbolic calculation)
- calculate decimal fractions
- transform a decimal number into a fraction
- make calculations of fractions with `pi`
- make calculations of fractions with the details of the calculations
- solve games on fractions

The **online fraction calculator** allows **calculation** of the **sum of fractions**,
to **calculate the sum of fractions** such as these `1/4` et `4/5`, you must enter
fraction(`1/4+4/5`),
after calculation, the result is obtained `21/20`.

The **fraction calculation** also applies to fractions that have letters, to
**calculate the sum of fraction** with letters like the following `a/b` et `c/d`,
you must enter fraction(`a/b+c/d`),
after calculation, we get the result `(a*d+c*b)/(b*d)`

To **add two fractions**, the **calculator** will reduce fractions to the same denominator,
then add the numerators, the result is returned in the form of an irreducible fraction.
All steps**steps** of calculating the fraction sum is returned by the calculator.

It is possible to add fractions with each other but also with other algebraic expressions, after calculation, the result is returned as a fraction.

The **fraction calculator** is able **to calculate online the fraction difference**,
To calculate the fraction difference between `4/5` et `1/5`, you must enter
fraction(`4/5-1/5`) , after calculation,
we get the result `3/5`.

The **calculator** can also be used on symbolic fraction :
thus to calculate the difference between the following fractions `a/b` et `c/d`, you must enter
fraction(`a/b-c/d`), after calculation,
we get the result `(a*d-c*b)/(b*d)`.

To **subtract two fractions**, the **calculator** will reduce fractions to the same denominator,
subtract the numerators, the calculator will reduce the fraction, ie simplifying before returning the result.
**Details of the calculations**
that helped make the difference fraction are returned by the calculator.

You can subtract fractions with each other but also with other algebraic expressions, after calculation, the result is returned as a fraction.

**Multiply fractions online** with **fraction calculator** is also possible,
the multiplication of fractions online can be used on numeric fractions : thus to calculate
**calculate product fraction** such as the following `4/3` et `2/5`,
you must enter fraction(`4/3*2/5`), after calculation,
we get the result `8/15`.

The symbolic **calculation product fraction** is also part of the features of the
**fraction calculator online**, Thus to calculate the product of `a/b` et `c/d`,
you must enter fraction(`a/b*c/d`), after calculation,
we get the result `(a*c)/(b*d)`.

To **calculate product of fractions**, the calculator will multiply the numerators together and multiply
the denominators between them, the **calculator** will simplify the fraction. The calculator also returns the
steps of the calculations that led to the product fraction.

It is possible to multiply fractions with each other, but also with other algebraic expressions, after calculation, the result is returned as a fraction.

The **fraction** **calculator** allows you to **divide fractions online** : thus
to calculate the ratio of fractions `4/3` et `2/5`, you must enter
fraction(`(4/3)/(2/5)`),
after calculation, the result is obtained 103.

The **online calculator** can be used on symbolic fraction : thus to calculate the ratio of `a/b` et `c/d`
, you must enter `(a/b)/(c/d)`, after calculation, we get the result `(a*d)/(b*c)`

The **online fraction calculator** allows the **calculation of the inverse of a fraction**,
so to calculate the inverse of fraction `7/2`, you must enter 1/(7/2), after calculation, you get the result `2/7`.

The **fractional calculator** also applies to literal fractional expressions, so to invert the fraction `a/b` ,
you must enter fraction(`1/(a/b)`), after calculation, you get the result `b/a`

The **fraction calculator** allows to **reduce a fraction online**,
ie to put the fraction in the form of an **irreducible** fraction.

To **simplify a fraction**
cas follows fraction `54/28` ,you must enter fraction(`54/28`) ,
after calculation, we get the result `27/14` is given in the form of an **irreducible fraction**.

To achieve simplify a fraction, the calculator uses different methods of calculation, it relies in particular on the GCD when numerator and denominator are integers. The calculator calculates the GCD to determine a simplified fraction that is an irreducible fraction. The calculator returns each step calculation.

The **fraction calculation online** **raise to the power** can be quickly thanks
**fraction calculator**.
It is possible to raise a fraction to an integer power and get the result of that calculation in the form of an
**irreducible fraction**.
For example, to calculate (45) 3, grip fraction ((4/5) ^ 3), after calculation yields the result 64125.

For example, to calculate `(4/5)^3`, enter fraction(`(4/5)^3`), after calculation, the result `64/125` is returned.

The **fraction calculator** available via fraction function,
makes it possible to simply calculate **fraction raise to the power** online.

A literal fraction is a fraction that involves letters. The fraction `x/2` is an example of a literal fraction. The calculator is able to perform literal calculations involving fractions.

A **decimal fraction** is a fraction whose numerator is a power of 10, i.e. the numerator is equal to 10, 100, 1000, ...
The fraction `4/10`is an example of a decimal fraction.
The calculator uses decimal fractions to write any decimal number as an irreducible fraction.

The **fraction calculator** can **convert a decimal to a fraction**,
thus to put in the form of an **irreducible fraction** the following decimal 0.4,
you must enter fraction(`0.4`),
after calculation, we get the result in the form of an **irreducible fraction** `2/5`.

**Calculate with fractions** of pi (`pi`) is also a feature of the calculator,
thus to calculate the sum of `pi/3` and `pi/6` as an **irreducible fraction of pi** (`pi`),
enter fraction(`pi/3+pi/6`), after calculation,
we get the result in the form of an **irreducible fraction** `pi/2`.

The **fraction calculation** can combine several operations, it is possible to add, multiply, divide fractions in
the same calculation.
The result will be returned as a simplified fraction.

It is possible to combine all these operations and apply them to algebraic expressions containing fractions and obtain the result with step-by-step calculations.

The site also proposes games on rational numbers (fractions), these games on fractions, allow to train to manipulate rational numbers.

fraction(expression), where expression is the fraction or the algebraic expression to calculate the result returned is given as a irreducible fraction.

- fraction(`4/5+3/7`) returns :`43/35`
- fraction(`0.5`) returns `1/2`

See also

- Calculation of binomial coefficients : binomial_coefficient. A binomial coefficient calculator that allows you to calculate a binomial coefficient from two integers.
- Compare two fractions : compare_fractions. The calculator allows to compare two fractions, indicating the steps of the calculations.
- Partial fraction decomposition calculator : partial_fraction_decomposition. The calculator allows a rational fraction to be broken down into simple elements.
- Prime factorization calculator : prime_factorization. The function prime_factorization is used to calculate online the decomposition of an integer into prime factors.
- Denominator of a fraction : denominator. The denominator function allows the calculation of the denominator of a fraction.
- Properties of a fraction : fraction_properties. This calculator lets you apply functions to a fraction to determine its properties: numerator, denominator, evaluate, euclidean_division, percentage, simplify.
- Fraction calculator : fraction. Fraction calculator that allows to do all types of calculations step by step on fractions.
- Numerator of a fraction : numerator. The numerator function allows the calculation of the numerator of a fraction.
- Gcd calculation online : gcd. GCD calculator that uses Euclid's algorithm to give the steps of the GCD calculation.
- Percentage calculator : percentage. This percentage calculator converts fractions or numbers in percent.
- Least common multiple : lcm. LCM calculator to calculate the least common multiple (LCM).