On this page, you will learn about the Decimal Fraction Questions with solution, with the types of Decimal Fractions and also some solved questions with explanation.
DecimalIn mathematics, a decimal is a number that is expressed in the base-10 number system, using the digits 0 to 9. It is called "decimal" because it is based on powers of 10.
FractionA fraction is a way of expressing a part of a whole or a ratio between two quantities. It represents a division of one quantity (the numerator) by another quantity (the denominator).
Types of Decimal and Fraction
The decimals is of two types :
Non recurring decimal or terminating decimal
As the name proposes, non-recurring signifies the number which do not reappear or reiterate that is they terminate or come to an end such as, 0.5, 0.25, as well as 0.125 or more. For the mater of converting these fractions, only the numerator has to be divided with the denominator. For instance, if you have to convert 1/4 into a decimal then you need to divide 1 by 4 to get the answer as 0.25.
Converting 0.5 into fraction
0.5 = 5 / 10 = 1 / 2, or
converting 1/4 into Decimal
Dividing 1 by 4 we will get = 0.25
Recurring decimal or non-terminating decimal
It can be said from the name itself that signifies the number which reappears or reiterate that is they do not terminate or come to an end, such as. 0.333…, 0.545454…. and more. For converting these fractions, all we have to do is to divide the numerator with the denominator. For instance, if you want to convert 1/3 in a decimal, then divide 1 by 3 to get the result as 0.333…
Converting 1/3 into decimal
Dividing 1 by 3 we will get = 0.333..
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