The step-step by process of conversion of 4.2 has been given where people need to write like a fraction. An individual need to take up any number like 4.2 followed by writing 1 like denominator for making the faction. This is mainly done for the same value.

4.2/1

This is done to get rid of the decimal points that exist in the numerator value where the number after the decimal in the given number 4.2 is done. It is to multiply the numerator and denominator by 10 if the number is 1. It will be multiplied by 100 if the number is 2. If the number is found to be 3 then it should be multiplied by 1000.

In the given case, the given number needs to multiply both the numerator and denominator by number 10 and the result obtained is 42/10. Both the numerator and denominator is completely divided by GCD (greatest common divisor) for simplifying the faction. GCD of two number that is 42 and 10 is found to be 2. When both numerator and denominator are divided by 2, the number stands at 21/5. So, 4.2 fractions can be defined as like 21/5.

If the above answer is found to be an improper fraction, then the displayed number stands out to be mixed one that is 4 1/5.

A fraction aims to represent either a whole or any given number which comes up with equal parts. In the domain of English, a fraction aims to describe how many parts of a given size are there for a given number. The most suitable example is one-half, three-quarters and eighty-fifth and three quarters. Common or simple fraction mainly comprises of integral numerator which is generally displayed above the line. A non-zero integer denominator is displayed below this particular line. Both numerator and denominator are mainly used in fraction which is not common nature. It is merely inclusive of the complex fraction or even mixed numerals.

Numerator aims to represent a given number that comes up with equal parts and denominator highlights how many of the part result in a single unit or even whole number. The denominator cannot be considered to be zero as zero parts cannot result in making up a whole number. In the given fraction ¾, the numerator is 3 which highlights fraction represents 3 equal parts and denominator 4, tells that 4 equal parts make up the whole number. The whole picture can be described by ¾ of a cake.

A common fraction can be defined as a numeral which describes the rational number. Much similar number can be used for representing like decimal, negative exponent and percent. For example, 0.01, 10^-2 and 1% which have an equal fraction that is 1/100. An integer like 7 can be easily thought for having an implicit denominator that is 1. It is considered to be equal to 7/1. Some of the other use of fraction are ratios and division. So, as result ¾ is mainly used for representing the ratio 3:4 (where ratio of the part of whole) and division is there ¾. Any kind of non-zero denominator in the given case by using of the fraction is completely represented by division. It is an example of a rule that dividing by zero is considered to be undefined.

A negative fraction can be also written that aim to represent the opposite of a given positive fraction. If ½ represents a half dollar profit, then -1/2 is represented by a loss of a half-dollar. It has mainly come into the picture that rule of division for the signed number which is needed. If any negative number is divided by a positive number then the negative −1/2, -1/2 and 1/-2, aim to represent the same fraction, negative one-half. This is due to the fact that when a negative number is divided by a negative number then it produces a positive. (-1)/(-2) aim to represent the positive half number.

In mathematics, all the numbers can be expressed in the given form that is a/b where both the number that is a and b are found to be an integer. It is should be noted that b is not zero number which is defined as a set of rational numbers denoted by the symbol Q. Here Q stands for quotient. The test for a given number being a rational number is that it can be represented in the form of a common fraction. The word fraction is also written in such a way that it can describe the mathematical expression which is not a rational number. Algebraic fraction that is quotient of algebraic expression which comprises of irrational numbers √2/2 and π/4.

In the given fraction, the number of equal parts which is being described in the numerator and the kind of variety of parts of denominator. The fraction 8/5 highlights that it amounts to eight parts of which one is named as fifth. With respect to division, numerator highlights to the dividend and denominator result to the divisor. Both numerator and denominator can be distinguished by the placement of the one which exists informal context that is placed separately by a fractional bar. The fractional bar can be horizontal like (1/3) and diagonal like ​¹⁄_9. The marks are completely shown by a horizontal bar that is Slash in US or Stroke in the UK. In topography, the horizontal fraction is known to be en and nut fraction and diagonal fraction like em fraction depending on the width of the line for taking up.

A simple fraction which is also known common fraction or vulgar fraction is considered to be a rational number which is written like a/b where both the number that is a and b are found to be an integer. Similar to other fraction that is denominator cannot be considered to zero. A simple fraction can be either positive or negative which can be either proper or improper. There are other kind of fraction that is complex fraction, mixed fraction and decimal. Common fraction can be classified into proper and improper.