About "Converting improper fractions to mixed numbers"

"Converting improper fractions to mixed numbers" is the question having had by almost all the children who study math in primary level.

Here we give you a very simple answer to the above question.

Please look at the picture.

Examples

Example 1 :

Convert the following improper fraction into mixed number.

275 / 3

Solution :

When we divide 275 by 3 as explained in the above picture, 3 goes into 275 by 91 times and we will have 2 left in 275.

By using the method explained in the picture above, the mixed fraction or mixed number which is equal to 275/3 is

91^{2}⁄_{3}

Example 2 :

Convert the following improper fraction into mixed number.

155 / 7

Solution :

When we divide 155 by 7 as explained in the above picture, 7 goes into 155 by 22 times and we will have 1 left in 155.

By using the method explained in the picture above, the mixed fraction or mixed number which is equal to 155/7 is

22^{1}⁄_{7}

Example 3 :

Convert the following improper fraction into mixed number.

782 / 13

Solution :

When we divide 782 by 13 as explained in the above picture, 13 goes into 782 by 60 times and we will have 2 left in 782.

By using the method explained in the picture above, the mixed fraction or mixed number which is equal to 782/13 is

60^{2}⁄_{13}

Example 4 :

Convert the following improper fraction into mixed number.

75 / 8

Solution :

When we divide 75 by 8 as explained in the above picture, 8 goes into 75 by 9 times and we will have 3 left in 75.

By using the method explained in the picture above, the mixed fraction or mixed number which is equal to 75/8 is

9^{3}⁄_{8}

Example 5 :

Convert the following improper fraction into mixed number.

178 / 15

Solution :

When we divide 178 by 15 as explained in the above picture, 15 goes into 178 by 11 times and we will have 13 left in 178.

By using the method explained in the picture above, the mixed fraction or mixed number which is equal to 178/15 is

11^{13}⁄_{15}

Apart from the stuff and examples on "Converting improper fractions to mixed numbers", you can also visit the following web pages to know more about fractions and mixed numbers or mixed fractions.