A fraction is a specific way to show a number/quantity as part of the whole number/quantity. In simple words, if we want to represent a specific proportion of the whole quantity, we will use a fraction.
In this particular representation of numbers, the proportion that we have will be written above the bar while the total amount is written below the bar. Undoubtedly, we can write such a relationship in ratio format but fractions are used widely for this purpose.
A fraction has two major sections that we call the numerator and denominator. The number written above the fractional bar is called its numerator while the number written below the fractional bar is called denominator. If you want to learn more about fractions, you should read this blog till the end. We will share a comprehensive guide about this particular representation of numbers.
Types of fraction
Depending on the value and degree of the numerator and denominator, the fraction has multiple types. In this section, we are going to discuss different types of fractions.
A fraction in which the degree of the numerator is less than the degree of the denominator is called a proper fraction.
In simple words, if a fraction has a variable with a specific power in the denominator
while the same variable has a lower power in the numerator, the fraction will be termed a proper fraction.
For example, 𝑥 is a proper fraction as the power of “x” is larger in the denominator
𝑥 + 1
as compared to the numerator.
If a fraction has a variable with larger power in the numerator as compared to the denominator, it will be called an improper fraction.
For example, 𝑥 is an improper fraction as the power of “x” is greater in the numerator
𝑥 + 1
as compared to the denominator.
A specific type of fraction in which a whole number is involved in addition to the numerator and denominator. In a mixed fraction, a whole number is written beside the fractional bar.
For example, a mixed fraction will look like, “ 1 ”. As it can be seen that “3” is written
beside the fractional bar in addition to the numerator and denominator.
Conversion of fractions into other forms
As mentioned earlier, a fraction represents the proportion of a number with respect to the whole quantity. It can be converted to other forms using for the same purpose and simplifying the term.
Mostly, students use a fraction calculator for such conversions. But you have to learn the ways to do so manually. Here we will show you some of the major conversions of a fraction.
Conversion to ratio
The most important and common task that a mathematics student has to do is the conversion of fractions to a ratio and vice versa. In simple words, the fraction can be converted to a ratio or a ratio can be converted to a fraction.
Here are the steps to write a fraction in a ratio format.
- Write the fraction by writing the numerator and denominator
- Now, write the numerator on the left side
- Put the symbol of the ratio that is “:”
- Now, write the denominator to the right side of the ratio
By doing so, you can easily convert a fraction to a ratio. You can also simplify the ratio by dividing all terms by the same number. To convert a ratio to a fraction, you only have to reverse the process.
If you want to learn this conversion properly in a step-by-step manner, you can pick an
online math calculator. It will allow you to look at the solution and understand it without moving to an instructor.
Conversion to decimal
Another common conversion related to fractions is the conversion to decimals. For this conversion, you only have to put the numerator as a divider while the denominator as a dividend.
After division, you will either get a whole number or a decimal that will be equivalent to the given fraction.
By reading the above blog, you may have cleared your doubts about fractions. We have discussed different types of a fraction to clarify them for better understanding. In
Mathematics, you have to deal with problems related to the conversion of fractions to other forms.
If you are unable to do so and looking for assistance, you can pick a fraction calculator.
It will enable you to solve your questions quickly as well as guide you with the step-by-step solution