Mixed Numbers

Mixed numbers the proper numbers is said to be numerator is less than denominator. Improper numbers says numerator is greater than denominator. A number consist of natural number and a fraction is called mixed number.Round mixed numbers as show in the below 2 `1/4` , 3 `4/5` , and 5 `7/8` . These are the mixed number. 2 `1/4` , In this mixed number the numerator is 1 and denominator is 4. 2 is out side of the given mixed number.First we have to find how to round the mixed number, here multiply 4 into the number 2 and add to the numerator, we get `(4xx2+1)/4` = `9/4`.

Problem in round mixed numbers

Problems 1 Round  mixed numbers and Adding mixed number:

(i)                  2 `1/5 ` + 3 `5/6`

Solution:

In the question `1/5` is the improper number because numerator is greater than denominator. Here 2 is out of the number. 2 `1/5` first we have to change in the proper number that is `(5*2+1)/5`

=` 11/5` is the proper number

The second number 3 `5/6`

In this number `(6*3+5)/6 ` we get

=`23/6`

Here we round  mixed numbers.

`11/5` + `23/6`

In this equation we have to take the Least common factor for 5 and 6 is 30

`11/5` +`23/6`

Here LCM is 30

`(11*6+23*5)/30 ` cross multiplication

`(66+115)/30` Adding  the number in the numerator we get

`=181/30.`

This is the answer for the adding mixed number for 2 `1/5 ` + 3 `5/6`

(ii)                2 `2/5` + 3 `1/6`

Solution: In the question `2/5` is the improper number because numerator is greater than denominator. Here 2 is out of the number.

2 `2/5` first we have to change in the proper number that is `(5*2+2)/5`

= `12/5` is the proper number

The second function is  3 `1/6`

In this function `(6*3+1)/6` we get

`=19/6`

Here we round  mixed numbers.

`12/5` + `19/6`

In this equation we have to take the Least common factor for 5 and 6 is 30

`12/5` +`19/6`

Here LCM is 30

`(12*6+19*5)/30` cross multiplication

`(72+95)/30` Adding the numbers in the numerator we get

`=167/30.`

This is the answer for the adding mixed numbers for 2` 2/5` + 3 `1/6.`

Round mixed number and adding mixed number with same denominator:

Problem for round mixed numbers and Add with same denominator

(i)  2 `1/8 ` + 3 `2/8`

Solution:

In the question `1/8` is the improper numbers because numerator is greater than denominator.

Here 2 is out of the number.2 `1/8` first we have to change into the proper numbers

`(2xx8+1)/8` ` = 1 7/8` is the proper numbers

The next fraction 3 `2/8`

The same we have to do this also we get

`(3xx8 +1)/8 = 25/8` is the proper number

Here we round mixed numbers and adding both functions

` = 17/8` + `25/8`

In this step adding mixed numbers is the easier way to add because the denominator is same so we can add directly

`(17+25)/8 =42/8`

So  `48/7` is the answer for the adding mixed fraction of 2 `1/8 ` + 3 `2/8`

Example Problem for round mixed numbers and Add with same denominator

2 `3/8` + 3 `5/8`

Solution:

In the question `3/8` is the improper numbers because numerator is greater than denominator.

Here 2 is out of the number. 2 `3/8` first we have to change into the proper numbers

`(2xx8+3)/8` = `19/8` is the proper numbers

The next fraction is 3 `5/8`

The same we have to do this also we get

`(3xx8 +5)/8 =29/8`

Here we round  mixed numbers

`=19/8` + `29/8`

In this step adding mixed numbers is the easier way to add because the denominator is same so we can add directly.

`(19+29)/8=``48/8`  is the answer for the Adding mixed numbers of 2 `3/8` + 3 `5/8`