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Mixed Form Fraction

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

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Mixed Form Fraction -

Tag(s) : Arithmetics

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# Mixed Form Fraction

## Convert from Mixed Form

### 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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