A mixed number fraction is a type of fraction that combines a whole number and a proper fraction. It is a little tricky to solve the mixed number, as first you need to multiple the denominator with the whole number, then you have to add the answer with the numerator.
That’s where the mixed number calculator steps in; you can simplify operations like addition, subtraction, multiplication, and division of the mixed fractions.
A mixed number represents a decimal number, and it always contains a whole number. For example, if there is a fraction 5(1/2), then its decimal value is 5.5. Here 5 is the whole number and (½) represents the decimal part, that is 0.5.
The Structure of a Mixed Number:
There are 3 main parts of the mixed number, and its components are:
Whole Number:
It is the whole number in the mixed fraction, and it represents the complete units of the value.
Example: In the mixed fraction 5(½), the whole number is 5.
Numerator:
In the mixed fraction, the numerator is the top part of the fractional component. It simply indicates how many parts of the whole are included.
Example: In the mixed fraction of 5 1/2, the numerator is 1.
Denominator:
The denominator is the bottom part of a mixed fraction, and it defines the total number of equal parts that make up a whole.
Example: In 5 1/2, the denominator of the mixed fraction is 2.
The combination of all three parts makes a mixed fraction.
How to Add Mixed Fractions?
You can add two mixed fractions by the following procedure:
- Convert both fractions into improper fractions
- Now add both the improper fractions
- Add the numerator only if both the improper fractions have the same denominator
- Take the LCM of mixed fractions if the denominator is different
Add a Fraction of the Same Denominator
Let’s suppose two mixed fractions, 2(3/5) and 1(4/5)
Solution:
2(3/5), 1(4/5)
Convert them into the improper fractions
2(3/5) = 13/5
1(4/5) = 9/5
Both the improper fractions have the same denominator. You can find their addition just by adding the numerator.
13/5 + 9/5 = 22/5
Here, only adding the 13 and 9 as both the fractions have the same denominator.
Add Fractions of Different Denominators
Let’s suppose two mixed fractions, 2(1/3) and 1(2/5)
2 (1/3) = (3 * 2 + 1)/3
2 (1/3) = 7/3
1 (2/5) = (5 * 1 + 2)/5
1 (2/5) = (5 * 1 + 2)/5
1 (2/5) = 7/5
Now add the improper fractions 7/3 and 7/5; you need to recognize both fractions have different denominators.
7/3 +7/5 = 35/15 + 21/15 = 56/15
Here 15 is the common denominator of both the fractions.
Find the addition of two fractions with the mixed number calculator online in a matter of seconds. You can apply the different arithmetics operations like subtraction, multiplication, and division with the online tool.
How to Subtract Mixed Numbers?
Consider the mixed fractions:
1(⅘)+ 2(3/6)
= 9/5 + 15/6
Using the expression for subtracting mixed numbers:
a/b – c/d = (ad – bc) / bd
= (54-75)/30
= -21/30
Dividing both numbers by 3, we get:
= -7/10
How To Divide Mixed Fractions?
Let suppose the two mixed fractions 2 (6/3) and 1 (⅔),
Here we apply the mixed fraction division on the fraction
2 (6/3) ÷ 1 (⅔)
= 12/3 х 5/3
Then
= 12/3 х 3/5
= 36/15
Why Use a Mixed Number Calculator?
The mixed fraction calculator is an effective tool to understand the mixed numbers and how to apply the arithmetic operations to the mixed numbers. It can eliminate manual calculations, minimize errors, and provide step-by-step solutions.
Key Features of the Calculator:
The key benefits and features of the mixed fraction calculator are as follows:
Step-by-Step Conversion:
The online calculator provides the step by step calculations of the complete question. For example, when adding two mixed fractions, the tool first takes the LCM of the fractions. Then solve the fractions.
Break Down into Decimal:
Sometimes, you may need to break down the mixed fractions into decimal form. This does assist in understanding the value of the mixed fraction.
Embrace the convenience of the mixed number calculator and make your mathematical journey smoother and more efficient!
Conclusion:
Mixed numbers are a fundamental mathematical concept, combining whole numbers and fractions to represent values intuitively. Their applications span numerous real-world scenarios, making them a vital tool in both academic and professional settings.
By understanding their structure and mastering operations involving mixed numbers, students and professionals alike can harness their versatility and practicality. Whether in the kitchen, classroom, or construction site, mixed numbers are indispensable in our daily lives.