Converting improper fractions to mixed numbers.

All improper fraction can be converted to a mixed number:

17	=	16 + 1	=	16	+	1	= 4 +	1	= 4	1	;
4		4		4		4		4		4

20	= 4	.
5

To convert an improper fraction to a mixed numbers, follow these steps:

• Divide the numerator by the denominator.
• The quotient (without the remainder) becomes the whole number part of the mixed number. The remainder becomes the numerator of the fractional part.
• The new denominator is the same as the denominator of the improper fraction.

Example of converting improper fractions to mixed number.

To convert an improper fraction 2554 to a mixed number.

Having divided 255 on 4 we will find the whole part and a residue of division

- 2 5 5 4 2 4 6 3 - 1 5 1 2 3

the whole part is 63 and a residue of division is 3 then

255	= 63	3
4		4