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Converting improper fractions to mixed numbers.

All improper fraction can be converted to a mixed number:

17 = 16 + 1 = 16 + 1 = 4 + 1 = 41;
444444

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.

Example 1.
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 = 633
44

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