Writing Fractions In The Lowest Terms Calculator

The Writing Fractions In The Lowest Terms Calculator will express:

1. A given fraction in its lowest terms (i.e. a fraction that cannot be simplified further)

Writing Fractions In The Lowest Terms Calculator Parameters: Numerator and denominator are both integers.

Please note that the formula for each calculation along with detailed calculations is shown further below this page. As you enter the specific factors of each writing fractions in the lowest terms calculation, the Writing Fractions In The Lowest Terms Calculator will automatically calculate the results and update the formula elements with each element of the writing fractions in the lowest terms calculation. You can then email or print this writing fractions in the lowest terms calculation as required for later use.

We hope you found the Writing Fractions In The Lowest Terms Calculator useful, if you did, we kindly request that you rate this calculator and, if you have time, share to your favourite social network. This allows us to allocate future resource and keep these Math calculators and educational material free for all to use across the globe.

Theoretical description

A fraction is an alternative method of expressing a division. In practice, it shows the part of a whole (or more than a whole). The components of a fraction include:

1. Numerator - it is written in the upper part of fraction and represents the dividend;
2. Denominator - it is written in the lower part of fraction and represents the divisor; and
3. Fraction bar - it is a horizontal line written in the middle of fraction (under the numerator and above the denominator) that represents the symbol of division.

Thus, we have

Equivalent fractions are those fractions that represent the same amount despite they have different numbers. For example, 3/6 and 4/8 are equivalent fractions as both of them represent half of a whole.

It is very important to write a fraction in its lowest terms. This occurs when numerator and denominator are relatively prime, i.e. they don't have any other common factor besides 1. Writing a fraction in its lowest term helps us identify the common fractions of a large family of equivalent fractions. For example, 3/4 and 4/8 are simplified (i.e. numerator and denominator are divided by the same number) by 3 and 4 respectively to give 1/2, which is the equivalent of the above fractions written in the lowest terms, as 1 and 2 are relatively prime.

It is not always easy to identify the greatest common factor (GCF) of numerator and denominator, i.e. the greatest common number by which they are divided to give the simplest version of a fraction. You can calculate the GCF of two numbers by using the corresponding calculator in this website, but here we will provide you with an extra tool that allows you obtain directly the simpler version of a fraction without any effort. All what you have to do is to insert the input numbers of a fraction in the numerator and denominator boxes and the calculator will give you the simplest version of that fraction.