Converting a fraction to the decimal layout is a very an easy and basic thing come do. In this article, we"ll show you exactly how to transform the fraction 4/21 to a decimal and also give girlfriend lots and lots of examples to aid you.

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The two main ways to express a fraction as a decimal are:

With a calculator!Using long division.

The simplest technique is obviously to use a calculator. It"s quick, and easy. To present a fraction as a decimal you division the top variety of the fraction (the numerator) through the bottom number (the denominator) and also the an outcome is the portion as a decimal.

Let"s look at a quick instance of this by utilizing the portion 421 and also converting it to decimal making use of a calculator.


As you deserve to see, in one rapid calculation, we"ve convert the portion 421 right into it"s decimal expression, 0.19047619047619.

If you don"t have actually a calculator, friend can show a portion as a decimal using great old fashioned long division instead.


(Note: for the function of this article, we always calculate to 3 decimal places)

With the long department method, the entirety number in ~ the top is the answer, and also the bottom number is the remainder:


There room other methods for convert fractions into a decimal version however it"s an extremely unlikely girlfriend will ever before use something the is not a simple calculator or a long division method.

Why transform 4/21 come a Decimal?

We often find ourselves wanting to transform a fraction like 4/21 into a decimal since it enables you to represent the fraction in a means that have the right to be conveniently understood.

In your everyday life friend will uncover yourself working v decimals much more frequently 보다 fractions, and this teaches your mind to understand decimal numbers.

So, if you must do any kind of usual arithmetic like addition, subtraction, division, or multiplication, convert 4/21 right into a decimal is a an excellent way to execute those calculations.

Another benefit to reflecting 4/21 as a decimal is as a comparison. It"s very easy come compare two decimal numbers and see i beg your pardon is greater and also which is smaller, but when you have fractions with various numerators and denominators it is not always immediately clear when you to compare then.

Both fractions and also decimal numbers have actually a place in math though, since fractions are straightforward to multiply, can express larger decimal numbers easier, and also it"s important to learn and also understand how to transform both from portion to decimal, and also from decimal come fraction.

Practice fraction to Decimal Worksheets

Like many math problems, converting fountain to decimals is something that will get much less complicated for you the an ext you exercise the problems and the more you practice, the an ext you understand.

Whether you space a student, a parent, or a teacher, you can develop your own fractions to decimal worksheets using our fractions to decimals worksheet generator. This completely complimentary tool will let friend create completely randomized, differentiated, fraction to decimal troubles to help you through your learning and understanding the fractions.

Practice fractions to Decimals making use of Examples

If you desire to continue learning about how to convert fractions to decimals, take it a look at the quick calculations and random calculations in the sidebar come the appropriate of this blog post.

We have noted some of the most typical fractions in the rapid calculation section, and a choice of fully random fractions together well, to assist you work through a number of problems.

Each post will display you, step-by-step, just how to transform a fraction into a decimal and will assist students to really learn and also understand this process.

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Convert Another portion to Decimal Number


Enter your fraction in the box below and click "Calculate" to transform the portion into a decimal.