Here in this page we are going to discuss aboout the concept of Dividing mixed numbers .The division of mixed number is same as the division of improper fractions. The reciprocal function of the mixed numbers is called as the division of mixed numbers. For example, 2 `(5)/(6)` is known as mixed number example. In this article, we are going to see about how to divide mixed numbers with example problems and also with brief explanation. Understanding Dividing Monomials is always challenging for me but thanks to all math help websites to help me out.
How to Divide Mixed Numbers
The explanations given below ,
Step 1: For dividing the given mixed number, the given improper fraction are converted into the proper fraction.
Step 2: Then in the next step, we have to take reciprocal function for the second term and put the multiplication sign.
Step 3: Then, normal multiplication of mixed number operation is performed.
Examples
Let see some solved problems on Dividing mixed numbers-
Problem 1: How to divide following mixed number, 4 `2/3` and 5 `4/3` .
Solution:
Step 1: Given:
4 `2/3` and 5 `4/3` .
Step 2: Solve:
4 `xx` 3 = 12 and 5 `xx` 3 = 15
12 + 2 = 14 and 15 + 4 = 19
`15/3` `-:` `19/3`
Step 3: Now we are taking reciprocal to the above functions, we get
= `15/3` `xx` `3/19`
= `15/19`
Result: Division of mixed numbers = `15/19`
Therefore, this is the required answer for solving the division of mixed numbers.
Problem 2: How to divide following mixed number, 3 `4/6` and 6 `5/7` .
Solution:
Step 1: Given:
3 `4/6` and 6 `5/7` .
Step 2: Solve:
3 `xx` 6 = 18 and 6 `xx` 7 =42
18 + 4 = 22 and 42 + 5 = 47
`22/6` `-:` `47/7`
Step 3: Now we are taking reciprocal to the above functions, we get
= `15/3` `xx` `7/47`
= `105/141`
Result: Division of mixed numbers = `105/141`
Therefore, this is the required answer for solving the division of mixed numbers. Is this topic Finding the Mode hard for you? Watch out for my coming posts.
Practice Problems
Here are the Practice problems to how to divide mixed numbers-
Problem 1: How to divide following mixed number, 2 `1/3` and 3 `1/4` .
Answer: `28/39`
Problem 2: How to divide following mixed number, 3 `2/3` and 4 `2/5` .
Answer: `5/6`
How to Divide Mixed Numbers
The explanations given below ,
Step 1: For dividing the given mixed number, the given improper fraction are converted into the proper fraction.
Step 2: Then in the next step, we have to take reciprocal function for the second term and put the multiplication sign.
Step 3: Then, normal multiplication of mixed number operation is performed.
Examples
Let see some solved problems on Dividing mixed numbers-
Problem 1: How to divide following mixed number, 4 `2/3` and 5 `4/3` .
Solution:
Step 1: Given:
4 `2/3` and 5 `4/3` .
Step 2: Solve:
4 `xx` 3 = 12 and 5 `xx` 3 = 15
12 + 2 = 14 and 15 + 4 = 19
`15/3` `-:` `19/3`
Step 3: Now we are taking reciprocal to the above functions, we get
= `15/3` `xx` `3/19`
= `15/19`
Result: Division of mixed numbers = `15/19`
Therefore, this is the required answer for solving the division of mixed numbers.
Problem 2: How to divide following mixed number, 3 `4/6` and 6 `5/7` .
Solution:
Step 1: Given:
3 `4/6` and 6 `5/7` .
Step 2: Solve:
3 `xx` 6 = 18 and 6 `xx` 7 =42
18 + 4 = 22 and 42 + 5 = 47
`22/6` `-:` `47/7`
Step 3: Now we are taking reciprocal to the above functions, we get
= `15/3` `xx` `7/47`
= `105/141`
Result: Division of mixed numbers = `105/141`
Therefore, this is the required answer for solving the division of mixed numbers. Is this topic Finding the Mode hard for you? Watch out for my coming posts.
Practice Problems
Here are the Practice problems to how to divide mixed numbers-
Problem 1: How to divide following mixed number, 2 `1/3` and 3 `1/4` .
Answer: `28/39`
Problem 2: How to divide following mixed number, 3 `2/3` and 4 `2/5` .
Answer: `5/6`
