Tool to convert mixed form fractional numbers (with an integer part and a fractional part) from/to a fraction or a decimal number.

Mixed Form Fraction - dCode

Tag(s) : Arithmetics

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A fraction in mixed form (or improper form) is a fraction writing format showing the integer part and the fractional part.

For any fraction $ x/y $ if the numerator $ x $ is lower than the denominator $ y $, then there is no integer part (equal to $ 0 $), it is however possible to try to make the fraction irreducible (in lowest terms).

If $ x > y $ then make a euclidean division of $ x $ by $ y $, note $ q $ the quotient (which is the whole part) and $ r $ the rest obtained.

The fractional number of the fractional number is $ q + r/y $

__Example:__ The $ 7/4 $ fraction has for numerator $ 7 $ and for denominator $ 4 $. As $ 7 > 4 $, use the Euclidean division $ 7 \div 4 = 1 $ remainder $ 3 $. Improper/Mixed form writing is $ 7/4 = 1 + 3/4 $

The integer part is actually a fraction whose denominator is 1. Make an addition of integer part and the fractional part to obtain a fraction.

__Example:__ $ 1 + $ 1/2 is equivalent to $ 1/1 + 1/2 $, this addition of fractions can be done by using the same denominator: $ 2/2 + 1/2 = 3/2 $ which is the mixed form fraction.

See explanation on the irreducible fractions page.

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Cite as source (bibliography):

*Mixed Form Fraction* on dCode.fr [online website], retrieved on 2024-09-09,

mixed,form,fraction,integer,fractional,part

https://www.dcode.fr/fraction-mixed-form

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