SSC Exam » SSC Study Materials » Mathematics » Operations on Decimal Fractions-Dividing a Decimal Fraction by Decimal Fraction

Operations on Decimal Fractions-Dividing a Decimal Fraction by Decimal Fraction

This article is focused on the process of “dividing decimal fractions by decimal fractions”. Therefore, in this context of discussing the process of “dividing decimal fractions by decimal fractions”, the concept of fractions, decimal numbers and decimal fractions need to be discussed first. Since all of the above-mentioned topics are inter-connected with each other.  

Definition and concept of fraction

This portion of this article begins with the definition of a fraction. How many parts of a whole do someone or something has is referred as fraction. A fraction can be easily identified with help of a slash and slash generally is provided between two numbers. Top part of a fraction is called a numerator and bottom part of a fraction is known as a denominator. ⅔ can be taken as an example for better understanding. In ⅔, 2 will be considered as a numerator and on the other hand, 3 will be considered as a denominator of this fraction. In this case, the numerator has been suggesting that 2 can be provided from the total amount of 3. 

Different types of fraction

Most common ones are proper fractions and improper fractions. If the denominator of a fraction is greater than the numerator, then this kind of fraction is called a proper fraction. As an example, ⅔ can be taken as an example of a proper fraction. If the denominator of a fraction is less than the numerator of that particular fraction, then this kind of fraction is called an improper fraction.

If two or more than two fractions are having the same denominator then those kinds of fractions are called like fractions. On the other hand, if fractions are different from each other with their denominators and numerators, then those kinds of fractions are called unlike fractions. For example, 2/5 and ⅗ will be considered as like fractions since denominators of both fractions are same. ½ and ⅖ are unlike fractions since denominators and numerators of both fractions are different from each other.

Definition and concept of a decimal number

Decimal numbers are used in day-to-day life since all numbers are simply based on ten digits from the starting of 0 to 9. Those numbers that usually use a decimal point and followed by such a digit that represents value less than one are also considered as “decimal numbers”. 55.5 can be taken as an example of a “decimal number”.

Definition and concept of decimal fraction

Those fractions will be identified as a decimal fraction whose power of denominator is the same as ten. The power of the denominator has to be either ten or multiples of ten such as hundred, thousand and so on. This is considered one of the important characteristics of a decimal fraction. On the other hand, another important characteristic of a decimal fraction is that the numerator of the fraction needs to be expressed with the help of such a figure that is also placed at the right of the decimal points. As an example, 25/100, 35/1000 is taken as an example of decimal fractions. 

Process of “dividing a decimal fraction by a decimal fraction”

In this portion of this article, process of “dividing decimal fractions by decimal fractions” has been discussed. At first, the divisor and the dividend need to be identified. In the process of “dividing decimal fractions by decimal fractions”, in most of the time, long division method needs to be applied since this makes the process easy. Then the decimal points need to be moved at the end of the number. After that, with those two numbers, a long division method will be done.

For example, division 8.5 and 3.4 has been done here. At first, the decimal points need to be moved at the end of the numbers. Therefore, after moving aside the decimal points, two whole numbers will be there such as 34 and 85. Then the long division method has to be continued with both of these numbers until zero remainders are found. At last, 2.5 will come out as an answer. And that is how the process of “dividing decimal fractions by decimal fractions” needs to be done.

Conclusion

It can be concluded that fractions are numbers that are generally divided into two parts such as numerator and denominator. A fraction has to be written with a slash in between the numerator and denominator. According to the previous discussion, it can be stated that a decimal number is such a number that is based on numbers within 0-9. Decimal fractions are such fractions whose denominator has the power of ten. At the end of the discussion, it can be said that the process of “dividing decimal fractions by decimal fractions” is related to the above-mentioned topics.

faq

Frequently Asked Questions

Get answers to the most common queries related to the SSC Examination Preparation.

What is the definition of a fraction in mathematics?

Ans : In mathematics, when a number is represented as a quotient and the numerator of that fraction is divided by th...Read full

What are the different types of fractions?

Ans: There are a total of four types of fractions in mathematics such as proper fraction...Read full

What is the important characteristic of a decimal fraction?

Ans : One of the important characteristics of a decimal fraction is that the power of the denominator of a fraction ...Read full

What is the procedure of “dividing a decimal fraction by a decimal fraction”?

Ans : At first, the decimal point of both decimal fractions needs to be moved to the end of the numbers. Then, long ...Read full