fraction calculator

Fraction calculator

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

Adding fractions online

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`.

• Writing as a fraction of the expression `1/4+4/5` with the fraction calculator
1. To calculate the addition fraction, the fractions are reduced to a common denominator and then added numerators.
• We obtain `1/4+4/5=(5+4*4)/(4*5)`
2. The result of the calculation is : `1/4+4/5=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 stepssteps 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.

Online fraction subtraction

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`.

• Writing as a fraction of the expression `4/5-1/5` with the fraction calculator
1. To calculate this fraction subtraction, fractions are reduced to a common denominator and then subtracts the numerators.
1. The fractions have the same denominator 5.
2. Subtract the numerators.
2. The result of the calculation is : `4/5-1/5=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.

Product fraction online

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.

Division of fractions online

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)`

Reverse a fraction

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`

Online fraction simplification

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.

Fraction raise to the power

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.

Literal fractions

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.

Decimal 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.

Changing a decimal to a 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`.

• Writing as a fraction of the expression `0.4` with the fraction calculator
1. Calculating a decimal fraction : `0.4=4/10`
1. The GCD of the fraction is equal to : 2.
2. By dividing the numerator and denominator by the GCD, we obtain: `4/10=2/5`
2. The result of the calculation is : `0.4=2/5`

Calculate online with fractions of pi (`pi`)

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`.

Combining operations with fractions

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.

Games on fractions

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