How To Apply Arithmetic Operations On Various Fraction Problems?

In mathematics, a fraction is a ratio between the numerator and the denominator. The numerator represents the parts that are taken from the whole. While on the other hand, the denominator displays the total number of equal parts that can be divided into the whole or the total number of equal parts in a collection. When anything is divided into a number of components, the fraction indicates how many of those components you have. 

But, is understanding all that enough? Not at all! You also need to represent the fractions in their simplest form. An online fraction to the decimal calculator by calculator-online.net helps you to do so. You can not only simplify your given fractions swiftly but also turn fractions into decimal numbers by using this free fraction to decimal calculator. 

In this technical read, we will be discussing the various fraction types along with examples.

Stay focused!

Various Types of Fractions:

Below are the most common and basic types of fractions that every scholar must have knowledge of.

Proper Fractions:

A suitable fraction that has a numerator that is less than the denominator is known as the proper fraction.

For example:

 

                                                        23, 37, 610

Improper Fractions:

A type of fraction in which the numerator is either equal to the denominator or greater than it is called the improper fraction:

For example:

 

                                                       33, 21, 86

 

Mixed Fraction:

A particular fraction that involves both a whole part and a fraction part is known as the mixed fraction. Go for converting mixed fraction into decimal if you feel difficulty in resolving.

 

For example:

 

                                                      323, 426, 84023

 

The interesting fact here is that the free fraction to decimal calculator resolves such fractions in a couple of seconds to generate the most simplified decimal form.

Like Fractions:

Like fractions are a collection of two or more fractions that have the same denominator. Alternatively, fractions with the same denominators are referred to as like fractions.

 

For example:

 

                                                       33, 23, 13

 

All of the above-mentioned fractions are considered like fractions as they contain the same denominator.

 

Also we have:

 

                                                        24+14

Unlike Fractions:

The fractions having different denominators are termed as the unlike fractions.

 

For example:

 

                                                       24+16

 

The above addition of fractions contains two different denominators in each of the fractions which makes them unlike each other. If you feel any hurdle resolving these fractions, subject to free online fraction to decimal calculator.

Equivalent Fractions:

Two or more fractions that are exactly the same when simplified are termed equivalent fractions.

 

For example:

 

                                                           26, 39

Unit Fractions:

A unit fraction is a rational number represented as a fraction with one as the numerator and a positive integer as the denominator. As a result, a unit fraction is the reciprocal of a positive integer.

 

For example:

 

                                                       15, 14,13

 

You can also use an online fraction to the decimal calculator to resolve these fractions in a fragment of seconds. Is it not a good offer? Yes, it is!

Arithmetic Operations on Fractions:

In mathematics, there are basically four arithmetic operations that can be used to resolve fractions to a most simplified form. The free fraction to decimal calculator also makes use of these operations to generate precise outputs. These include:

Addition:

When all of the fractions have the same denominator, we just add the numerator and the denominator remains the same in the answer

 

  56+  76= 126

 

When all the denominators are different, we simply look for the least common denominator. Then we divide the LCD by the fraction denominator and multiply the result by the numerator, keeping the denominator constant and adding all the fractions together.

                                          

                                                    38+  76= 9+2824= 3724

In case of any hurdle during the calculations, you can make use of the free online fraction to decimal calculator for finer outcomes.

Subtraction:

Subtraction is done in the same way as an addition; for example, if two fractions have identical denominators, we simply subtract the fraction with the bigger numerator from the fraction with the smaller numerator.

 

                                                    83–  43= 43

 

When dealing with non-equivalent fractions, we follow the same procedure as when adding non-equivalent fractions.

 

                                  83– 45 = 40-1215= 2815

Multiplication:

The process of multiplication is far easier than any other operation. While multiplying fractions, we just multiply numerators and the denominators separately and write the resultant fractions at the end. Keep in mind that you can also convert these fractions into their respective decimal forms using a fraction to decimal calculator.

 

                                                       53× 49=  2027 

Division:

Just like addition and subtraction, multiplication and division are also reciprocal of ech other.  While dividing two or more fractions, we have to invert the sign of all fractions along with their numerators and denominators except the first fraction. Let’s see how:

 

                                                 53÷ 49=     53× 94=  154

 

Using Fraction to Decimal Calculator:

The free turning fraction into decimal calculator takes a couple of seconds to resolve any simple or complex fractions instantly and accurately. Anxious about using this free calculator? Let’s go!

 

• First of all, write down the whole number. 
• After you do so, go for writing the numerator and denominator
• Now select the decimal range of the answer
• Tap the calculate button and here you get the answer

 

How fast it is!

Last words:

In this technical read, we discussed the simplification of fractions either manually or by using a free fraction to decimal calculator. We hope this guidepost will help you a lot!