Fractions: A Comprehensive Guide for Railway Exams

Fractions are one of the most important topics in mathematics for railway exams. In this blog post, we will provide a comprehensive guide on fractions, as in what is fraction and how to solve fraction problems. We will also provide a fraction calculator so that you can practice solving fraction problems. Fractions can be tricky to understand, but with a little practice, you will be able to solve any fraction problem!

What are Fractions?

Fractions are numbers that have a fractional part. The fractional number is separated from the other parts of the fraction by a fraction line (/). There are two parts to every fraction: numerator and denominator. Let’s take an example to better understand this concept.

Fraction = Numerator / Denominator

Example of a  fraction = 45 / 100

The numerator is the number above the fraction line, and the denominator is the number below the fraction line.

The fraction 45/100 is called a mixed number, or mixed fraction as it has an integer part and a fractional part. Let’s learn about the types of fraction 

Uses of fraction

Fractions are used in a variety of mathematical problems. A fraction is simply a division of two numbers, the numerator and the denominator. The fraction is written as a number over another number. The number on top is the numerator and the one on the bottom is the denominator.

Types of fraction

A fraction can be classified as a proper fraction, improper fraction and mixed fraction.

Proper fractions

Proper fractions are those in which the numerator (top number) is smaller than the denominator (bottom number). For example,

fraction{14}/{25}

This fraction is expressed as “fourteen over twenty-five”. The fourteen represents the number of parts that are being taken from the whole, while the twenty-five represents the total number of parts.

Improper fractions

Improper fractions are fractions that have a numerator greater than the denominator.

For example fraction: 25/16 is an improper fraction. It can be converted into a mixed fraction with the help of a fraction calculator.

Mixed fraction

In fractions, the numerator and denominator are expressed as integers. A mixed fraction can contain both whole numbers and fractional parts.

For example, a mixed fraction that is ¾ can be written as three-quarters, or .75.

Other Types Of Fractions

What are fractions?

A fraction whose denominator is the same as another fraction, but has different numerators. For example , fraction [12/13], fraction [22/13] are like fractions.

What are unlike fractions?

Unlike fractions are fraction numbers that have different denominators. For example , fraction [12/20,], and fraction [24/50] are unlike fractions.

What is an equivalent fraction?

An equivalent fraction is a fraction that has the same value. For example, 0.375 and 375/1000 are equivalent fractions as both have the same value.

How to find an equivalent fraction of two fractions?

To find the equivalent fraction of two fractions, divide the numerator (top number) and denominator (bottom number) of both fractions by the same number.

For example, to find the equivalent fraction of 0.375 and 375/1000:

divide both numerator and denominator by 375.

Equivalent fraction of 0.375 = 0.(00)375/1000 = (0/1000) 375/1000 = (0.000375)/1000

Equivalent fraction of 375/1000= 375/(375*1000) = (1000/375) = (27/15)

So, the equivalent fraction of 0.375 and 375/1000 is 27/15.

What is a Fraction calculator?

A fraction calculator is an online calculator to convert fraction to decimal fraction to percentage fraction simplification fraction addition fraction subtraction fraction multiplication and division.

How to convert a fraction into a percentage?

In order to convert a fraction into a percentage, divide the numerator by the denominator and multiply the result by 100. let’s learn this through an example :

Convert the fraction ¾ into a percentage.

The numerator is three and the denominator is four, so we divide three by four

and multiply the result by 100 to get 75%

Solved mathematical question on fractions

Convert 5/6 into a percentage

To convert this fraction into a percentage, divide the ‘5’ numerator by ‘6’ the denominator. Finally, multiply by 100. In this case, it would be:

(numerator/denominator) x 100 = (percentage). 

 So, to calculate fraction ` 5/6` as a percentage, we would divide `5/6 ` by ` 5/6` and multiply by 100:

And you will get the value: 83.33%

Conclusion

If you are a student who is about to take a railway exam, or if you are studying for one, this blog post should provide some valuable information on what fraction is and other guidelines. It covers the basics of fractions and how they work in relation to railways, as well as provides tips on how to solve problems involving them. The article also offers links to helpful resources where students can find more detailed explanations of these topics. Do you have any questions about what we’ve covered here? Let us know! We would love to hear from our readers and help make sure that everyone has all the assistance they need when it comes time for their exams. What did you think of this comprehensive guide on fractions? Did anything surprise you?