How To Do Fractions Manually & With Calculator?

Solving fractions is a simple task. However, you could face different challenges in resolving fractions without a basic understanding. But simplifying fractions is not a problem now. Three categories of fractions exist: proper, improper, and mixed fractions. For students, it is necessary to know all three types of fractions. 

Proper fractions are fractions that have fewer numerators than denominators. On the other hand, denominators are less than the denominator. Mixed fractions comprise whole numbers and proper fractions in combination.The fractions calculator solves all three types of fractions.

Gone are the days when there was no single online resource for fractions. But today, you can do that with the help of a fraction calculator. The tool allows you to get detailed calculations to simplify two, three, or four fractions.

Fractions are an integral part of the business and transactions as no tractions are possible without them. All the percentages and decimal numbers are fractions. You can represent them as 3 %, 5 %, 12 %, 3/100, 5/100, 12/100 respectively. Similarly the decimals numbers like 0.5 =½, 0.75= ¾, and ¼ = 0.25. This is why fractions are considered most important when converting from one form to another. Most of the time, you are dealing with fractions and do not even know how to add or subtract the fractions.

This article explores different types of fractions and their solutions through both manual methods and online calculators.

Fraction Definition:

Fractions are a part of a whole.

Parts of Fraction:

Fraction has three parts that are as follows:

● Numerator: It is the number written above the line

● Denominator: It is the number which is written below the line

● Vincilum: The line that separates the numerator and the denominator

Type of Fractions:

The three types of fractions are:

• Proper Fractions

• Improper Fractions

• Mixed Fractions

Proper Fractions

Fractions having lesser numerators compared to denominators are proper fractions. The typical examples of the proper fractions are ⅖,¾, 5/11, 6/ 12, etc.

Proper Fractions

Fractions having greater or equal numerators compared to denominators are improper fractions. The common examples of the improper fractions are 3/2, 3/3, 4/3, 5/7, 6/8 etc

Mixed Fractions

Mixed fractions combine whole numbers and proper fractions and are converted to fractions by a simple procedure. Examples of mixed fractions are 5(¾), 6(3/9), 2(2/8),2(3/5), 2(3/4)

The Procedure of Converting a Mixed Fraction

The mixed numbers are broken down by the following procedure:

• First, multiply the whole number with the denominator 

• Then, add the result with the numerator

• Here is the result of the mixed fraction, always an improper fraction.

Mixed fractions can be challenging for students to grasp, yet it's crucial to master the conversion of mixed fractions into improper ones. The arithmetic operation on mixed fractions only applies when converted into a more straightforward form. The online fraction calculator multiplies two mixed fractions directly, as you only need to enter the mixed fraction in the calculator.

Arithmetic Operations On Fractions:

Understanding four basic operations helps you master the art of fraction reduction:

Addition:

• All you need is to determine the least common multiple of the fractions

• To do that, you have to consider only denominators

• After you calculate LCM, you need to write new daughter numerators for the final fraction

• After that, just add all small numerators and write the final number over the denominator

• Look if you can further reduce the fraction or not

Calculations:

Add the fractions ⅖ and 4/9

 2/5+4/9

Step 1:Find the Common Denominator

First, find the common denominator for both the fractions:

 2/5+4/9, the denominators are 5 and 9. The common denominator of both fractions is 45. 

 2/5+4/9= 2/45+ 4/45= 2/(5)(9)+4/(9)(5)

Step 2:Multiply with Numerator

Divide the common denominator with 5 and 9. When dividing 45 by 5, then comes 9. Then, dividing 55 by 9 comes 5. Now multiply 9 by 2 and 5 by 4

Then, the fraction would be 

(18+20)/45

Step 3: Add Numerator 

Now, we have the common denominator of both fractions. Just add the numerators.

 = 38/45

Which is the final fraction in reduced form. You can also do that by entering the numerators and denominators in the adding fractions calculator.

Subtraction:

Subtraction is identical to addition. The only difference is the sign. Where you add the daughter numerators, you need to minus them here. Let us understand it with the help of the example given below:

Calculations:

Subtract the following fractions:

Step 1:Find the Common Denominator

 2/7, 8/4, and 2/5

 2/7- 8/4 - 2/5

 = (40-35-28)/140

 The common denominator of fractions 2/7, 8/4, and 2/5 is 140 

Step 2:Add the Nominators

Now, the addition of the numbers -35-28 is -63, then add it to the 40. The answer would be -23.

= (40-35-28)/140

= (40-63)/140

  =-23/140

The subtraction fractions calculator provides a simple solution to subtract the proper, improper, and mixed fractions.

Multiplication:

This is quite simple!

• Multiply the numerators

• Likewise, multiply all the denominators

• Reduce fraction if possible further

Calculations:

Find the product of the following fraction:

Step 1:Multiply the numerators and Denominators

2/7 and 6/8

= 2/7 * 6/8

= 12/56

The multiplication is simple here. Just multiply the numerator by the numerator and the denominator by the denominator of the other fractions.

The task can instantly be done with a multiplying fractions calculator.

Division:

• Write the first fraction as it is

• Change the division sign to the multiplication sign

• Invert the numerator and denominator of the second fraction.

• Follow the multiplication rule as aforementioned

Calculations:

6/4 / 2/7

Step 1:Change the division sign to the Multiplication Sign

 = 6/4 * 7/2

Step 2:Follow the multiplication Rule 

= 42/8

= 21/4

The division and multiplication are similar for fractions. However, the mere difference between multiplication and division is the reversal of fractions in the division process.

How To Use The Fraction Calculator?

Using a dividing fractions calculator is straightforward! Let us guide you on how to use this tool!

• Select the number of fractions you want to simplify

• Enter the numerators and denominators of all the fractions

• Select the operator

• Tap calculate to get a detailed solution

Wrapping It Up:

Fractions are everywhere around us. From slicing a pizza to paying for it, everything involves fractions. To instantly resolve fractions without any hurdle, you can use the fraction calculator online to complete such tasks in seconds. The fractions are simple to solve if you know the type of the fractions. The standard types of fractions are proper, improper, and mixed fractions.

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