Mixed Numbers in Math

Introduction to mixed numbers in math:

In math, Mixed number is very important study.  We will study mixed numbers under algebra in math. This is very helpful when using fractions in math

Mixed number is a one form of fraction.  Mixed number is also known as mixed fraction. Mixed number will get by converting improper fraction into mixed fraction.

Mixed number includes an integer then a proper fraction.  The example of mixed numbers are 1 `2/3` , 5 `7/8` , - 1 `6/5` .

For example, convert an improper fraction into mixed number.

`4/3` = 1 `1/3` .

Let us see sample problems involving mixed numbers in math.

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Example Problems on Mixed numbers in Math:


Problem 1:

Subtract  `1/2` from 4 `1/2` .

Solution:

First, we need to convert mixed number into improper fraction.  The steps are following,

4 `1/2`

Multiply the denominator by an integer.

4 x 2 = 8

Add that number with numerator.

8 + 1 = 9

Now write the result in the numerator and keep the denominator same.

4 `1/2`  = `9/2`

Now rewrite the operation.

`9/2` – `1/2`

Here the denominator is same in both fractions. So we just subtract numerators and keep the denominator same.

`(9-1)/2` = `8/2` = 4 .

The answer is 4.

Problem 2:

Subtract  - 2 `3/5` from - 1 `3/5` .

Solution:

First, we need to convert mixed number into improper fraction.  The steps are following,

-2  `3/5`

Multiply the denominator by an integer.

2  x 5 = 10

Add that number with numerator.

10 + 3 = 13

Now write the result in the numerator and keep the denominator same.

-2 ` 3/5`  = - `13/5`

Now we need to do same process for another mixed number.

-1 `3/5`

Multiply the denominator by an integer.

1  x 5 = 5

Add that number with numerator.

5 + 3 = 8

Now write the result in the numerator and keep the denominator same.

-1 ` 3/5`  = - `8/5`

Now rewrite the operation.

-1 `3/5` – (- 2 `3/5` ) = -` 8/5` – (-`13/5` )

= - `8/5` + `13/5`

= `13/5` – `8/5`

Here the denominator is same in both fractions. So we just subtract numerators and keep the denominator same.

`(13-8)/5` = `5/5` = 1 .

The answer is 1.

Problem 3:

Multiply the mixed numbers:  -2 `2/3` and  4 `1/10`

Solution:

First, we need to convert mixed number into improper fraction.  The steps are following,

-2 ` 2/3 `

Multiply the denominator by an integer.

2  x 3 = 6

Add that number with numerator.

6 + 2 = 8

Now write the result in the numerator and keep the denominator same.

-2  `2/3`  = - `8/3`

Now we need to do same process for another mixed number.

4 `1/10`

Multiply the denominator by an integer.

4  x 10 = 40

Add that number with numerator.

40 + 1 = 41

Now write the result in the numerator and keep the denominator same.

4 `1/10`  = `41/10`

Now rewrite the operation.

-2` 2/3` x 4` 1/10` = - `8/3` x `41/10`

= - `328/30`

=` -164/15`

= - 10 `14/15`

Understanding hard math problems with answers is always challenging for me but thanks to all math help websites to help me out.

Practice Problems on Mixed numbers in math:


Problem 1:

Find the solution of  -2 `1/5` and -1 `3/4`

Answer:

3 `17/20`

Problem 2:

Find the solution of – 2 `7/8` + 4 `3/8`

Answer:

1 `1/2` .

Problem 3:

Find the solution of `1/6` – 1 `5/6`

Answer:

-1 `2/3`