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
dCode is free and its tools are a valuable help in games, maths, geocaching, puzzles and problems to solve every day!
A suggestion ? a feedback ? a bug ? an idea ? Write to dCode!
Mixed Form Fraction
Convert to Mixed Form
Convert from Mixed Form
Answers to Questions (FAQ)
What is a fraction in mixed form? (Definition)
A fraction in mixed form (or improper form) is a fraction writing format showing the integer part and the fractional part.
How to express a mixed form fraction?
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 $
How to express a fractional number in fraction?
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.
How to express a decimal number in fraction?
See explanation on the irreducible fractions page.
Source code
dCode retains ownership of the "Mixed Form Fraction" source code. Except explicit open source licence (indicated Creative Commons / free), the "Mixed Form Fraction" algorithm, the applet or snippet (converter, solver, encryption / decryption, encoding / decoding, ciphering / deciphering, breaker, translator), or the "Mixed Form Fraction" functions (calculate, convert, solve, decrypt / encrypt, decipher / cipher, decode / encode, translate) written in any informatic language (Python, Java, PHP, C#, Javascript, Matlab, etc.) and all data download, script, or API access for "Mixed Form Fraction" are not public, same for offline use on PC, mobile, tablet, iPhone or Android app!
Reminder : dCode is free to use.
Cite dCode
The copy-paste of the page "Mixed Form Fraction" or any of its results, is allowed (even for commercial purposes) as long as you credit dCode!
Exporting results as a .csv or .txt file is free by clicking on the export icon
Cite as source (bibliography):
Mixed Form Fraction on dCode.fr [online website], retrieved on 2024-12-21,
