### Education

# Understanding Improper Fractions

As seen previously there are different types of fractions. Which are classified on the basis of the nature of fractions. One such type of fraction is __improper____ fraction__. These are the fractions in which the numerator is greater than the denominator. The number which is present at the upper part is known as the numerator while the number present at the lower part is called the denominator. Value of an improper fraction is always greater than 1. For example 7/2, 8/5, 9/4, 5/4 etc.

## Converting improper fraction into mixed fraction:

Improper fractions can be converted into mixed __fraction__. For getting a clear understanding let us proceed with the help of an example. For instance we have the improper fraction 56/6. To convert it into a mixed fraction we perform a simple division and take in use the quotient, remainder and the divisor. We divide 56 by 6, the quotient we get is 9 and the remainder is 2. Hence the improper fraction formed is 9 2/6 (read as 9 whole 2 by 6). So that is how we convert improper fraction into mixed fraction. The whole point of converting improper fraction to mixed fraction is to ease the process of comparison of fractions.

### Converting improper fraction into decimals:

Improper fractions can be converted into decimal by the process of simple division. For getting a clear understanding let us proceed with the help of an example. For instance we have the improper fraction 56/6. To convert it into decimal we perform a simple division. We simply divide 56 by 5. So we get the 11 as the quotient and 1 as the remainder. Further 1 cannot be divided by 5 so we place a decimal with quotient 11 and place a 0 with the remainder 1. Now the remainder becomes 10 which is perfectly divisible by 5. So we get quotient as 11.2 and that is our answer. So that is how we convert improper fractions into decimals. A lot of practice and faster calculation speeds are the prerequisites for mastering this method.

### Converting mixed fraction into improper fraction:

Alternatively we can also convert mixed fractions into improper fractions. Contrary to the previous process we will not be doing any division operations this time. A mixed fraction is a fraction of the form a b/c (read as a whole b by c). For getting a clear understanding let us proceed with the help of an example. For instance we have the mixed fraction 9 6/7. To convert it into improper fractions we perform simple multiplication and addition. 7 is multiplied by 9 and the result is added to 6 and the number thus obtained is then divided by 6 and then written. So here in this case 69/7 is our final answer and the improper fraction. So that is how we convert improper fraction into mixed fraction. A lot of practice and faster calculation speeds are the prerequisites for mastering this method.

### Learning multiplication:

These concepts basically are taught to elementary grade students. But sometimes the intricacies of mentioned concepts and some of the aspects can be quite intimidating and bewildering for the beginners. But Cuemath has got the backs of students in need. With the interactive and engaging interface of the website of Cuemath, children tend to focus more easily, and the process of learning becomes more fun for them and they tend to remember concepts for a longer time more efficiently. This eliminates the scope of children getting bored as the usual boring and tiresome concept learning is no longer in use.

### Conclusion:

So, as per details stated above, we arrive at a respectable conclusion that mentioned the concept of being important to the subject. Mathematics is also equally important to the concept building aspect as it is recognized as a concept building block. The many important features listed are just a sample; the whole picture of its sheer importance is difficult to put in words.