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.
Having problem with Find Inverse Function keep reading my upcoming posts, i will try to help you.
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`
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.
Having problem with Find Inverse Function keep reading my upcoming posts, i will try to help you.
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`
