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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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.
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