Number, Decimals & Fractions Questions and Answers
Number, Decimals & Fractions Questions
Definition of Number, Decimals & Fractions
A fraction where the denominator is 10 or even it is 102,103 or more that is the power of 10 is referred as the decimal fraction, such as 3/10, 3/100, they can be characterized as 0.3, 0.03 or more. The decimals have two types, and those are:
Non recurring decimal or terminating decimalAs 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.
Recurring decimal or non-terminating decimalIt can be said from the name itself that signifies the number which do not reappear 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…
RulesThere are certain rules and principles associated with the topic of decimals and fractions in the field of mathematics. The problems based on the same are asked in a number of competitive examinations. Although, it is a simple topic but still remain confusing. The rules mentioned below will help you get insights about the topic:
- Two fractions are equivalent when they represent the same number. For example: 2/8 and 4/16 are equivalent, because they both equal 0.25.
- When both the numerator and the denominator can be divided evenly by the same number, the fraction can be simplified into its lowest terms (the smallest equivalent fraction). The largest number that both the numerator and the denominator can be divided by is called the greatest common factor (GCF) or greatest common divisor (GCD). Dividing both by the GCD simplifies the fraction into its lowest form.
- For example, 2 is the greatest common factor of both 2 and 8. For the fraction 2/8, when you divide the numerator and the denominator by 2, you get 1/4—the lowest or most simplified form of the fraction.
- When dealing with fractions in equations, you almost always want them to be in their simplest forms, so that they’re easier to do calculations with.