Decimal to Fraction Calculator

Easily turn decimal into fraction within seconds! Our decimal to fraction calculator provides clear steps with instant results. Try Now!

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Table of Contents:

Introduction to Decimal to Fraction Calculator

Decimal to fraction calculator is an online tool that helps you convert decimal numbers into fraction numbers in a few seconds. Our tool not only convert decimal to fractions but also uses the greatest common factor or least multiple methods to change the fraction into the simplest term.

Decimal to Fraction Calculator with steps

Our decimal to fraction converter is beneficial for students or professionals who want to learn decimal to fraction concepts but do not have quick and easy sources. Our tool is the solution to all of your needs. With just one click, you get the result of your decimal to fraction problem.

What is Decimal to Fraction Conversion

Decimal to fraction conversion is the method in which a decimal number is converted into fractions whose denominators have a power of 10, 100, 1000, 10000, and so on according to the decimal point and its decimal places. It builds a relationship between decimals and fractions numbers.

For example, a decimal number 3.5 can change into a fraction of 35/10. It is one of the types of fractions that can be used for decimal fraction conversions.

Looking for an easy way to perform decimal to fraction conversions? Try our conversion calculator decimals to fractions! It simplifies the process, making it effortless to switch between decimals and fractions.

How to Convert Decimals to Fractions

Decimal numbers can easily be converted into fractions, but it depends on the decimal format. It involves some simple steps. If you follow them properly, you can get the right solution to your given problem.

Step 1: Identify the Decimal number that you want to convert into a fraction.

Step 2: Write the decimal as a fraction, with the decimal part in the numerator having a power of 1 in the denominator, and the corresponding number of the numerator becomes zero after replacing the decimal point with 1. For example: 0.5 =5/10

It's the same as if 1 digit is after the decimal point, so it becomes 10 in the denominator, and if 3 digits are after the decimal point, it becomes 1000 in the denominator.

Step 3: Lastly, Simplify the fraction by dividing it by its greatest common divisor to convert it into its simplest form and make it easier to understand.

Feeling tired of manual calculations or getting stuck with complex problems? Give our decimal to fraction calculator a try. It can turn decimal into fraction in seconds, along with steps.

Let's understand the above evaluation procedure of how to convert decimal to fractions with some simple steps.

Step 1: Identify the decimal. 0.75

Step 2: Write decimal number into fraction as

$$ 0.75 \;=\; \frac{75}{100} $$

Step 3: Simplify it as 75/100 = 3/4

So, 0.75 as a fraction is

$$ \frac{3}{4} $$

Solved Example of Decimal to Fraction

The example of the decimal to fraction problem with a solution using decimals to fractions calculator is given below to understand the calculation process.

Example:

Convert decimal 0.32 into fraction

Solution:

To convert the decimal 0.32 into a fraction, you can write it as 32/100

Then, you can simplify the fraction using mathematical operations.

$$ \frac{0.32}{1} \times \frac{100}{100} \;=\; \frac{32}{100} $$

$$ \frac{32 \div 4}{100 \div 4} \;=\; \frac{8}{25} $$

$$ X \;=\; \frac{8}{25} $$

$$ 0.32 \;=\; \frac{8}{25} $$

So, the fraction equivalent to the decimal 0.32 is 8/25

Example:

Convert decimal 0.4 into fraction

Solution:

To convert the decimal 0.4 into a fraction, you can write it as 4/10.

Then, simplify the fraction by dividing the fraction to their greatest common divisor, which is 2.

$$ \frac{0.4}{1} \times \frac{10}{10} \;=\; \frac{4}{10} $$

$$ \frac{4 \div 2}{10 \div 2} \;=\; \frac{2}{5} $$

$$ X \;=\; \frac{2}{5} $$

$$ 0.4 \;=\; \frac{2}{5} $$

So, the fraction equivalent to the decimal 0.4 is 2/5

Example:

Convert decimal 0.125 into fraction

Solution:

To convert the decimal 0.125 into a fraction, you can write it as 125/1000

Then, simplify the fraction by dividing both the numerator and denominator with their greatest common divisor, which is 125.

$$ \frac{0.125}{1} \times \frac{1000}{1000} \;=\; \frac{125}{1000} $$

$$ \frac{125 \div 125}{1000 \div 125} \;=\; \frac{1}{8} $$

$$ X \;=\; \frac{1}{8} $$

$$ 0.125 \;=\; \frac{1}{8} $$

So, the fraction equivalent to the decimal 0.125 is ⅛

Stepwise Guide of How to Use Decimal to Fraction Converter

Decimal into fraction calculator has a simple interface that allows everyone, even a beginner, to calculate decimal problems and convert them into fractions. Please follow some of our instructions before adding the input value to the calculator. These instructions are:

  1. Enter the decimal number to convert it into a fraction in the field.
  2. Recheck your decimal number before clicking on the calculate button.
  3. Click the “Calculate” button to get the desired result of a decimal question into a fraction.
  4. If this is your first time using our decimal to fractions calculator, you can use the example provided to gain a better understanding of how it works.
  5. Click on the “Recalculate” option to get a new page for solving more decimal problems for fractions.

Final Result of Decimals to Fractions Calculator

Decimal to fraction Calculator gives you the solution to your conversion questions when you provide the input number to it. It provides you with solutions in detail. It may contain as:

  • Result option gives you a solution in the form of a fraction
  • Possible step provides you with all the steps where a complete process is given for finding the fraction for the decimal question.

Advantages of Using Decimal into Fraction Calculator

Decimal to fraction converter gives you millions of advantages whenever you use it to calculate decimal problems for fractions. These advantages are:

  • Manually convert decimal to fraction problems is time-consuming, but our calculator decimal to fraction tool can save your time.
  • It is a free-of-cost tool so you can use it for free to find the decimal problems with solutions in fractions.
  • It is a handy tool that allows you to solve various types of decimal problems and gives exact solutions to your input number.
  • You can use our decimals to fractions calculator for practice to get familiar with the concept of all the operations used in decimal problems.
  • Decimal to fractions calculator is a reliable tool that provides you with accurate solutions every time whenever you use it to find decimal problems for fractions without any mistakes.
Related References
Frequently Ask Questions

What fraction is equivalent to the decimal 0.625?

To convert the decimal 0.625 into a fraction, you can write it as 625/1000. Then, simplify the fraction by dividing both the numerator and denominator by its greatest common divisor.

$$ \frac{0.625}{1} х \frac{1000}{1000} \;=\; \frac{625}{1000} $$

$$ \frac{625 ÷ 125}{1000 ÷ 125} \;=\; \frac{5}{8} $$

$$ X \;=\; \frac{5}{8} $$

$$ 0.625 \;=\; \frac{5}{8} $$

Therefore, the fraction equivalent to the decimal 0.625 is 5/8.

What fraction is equivalent to the decimal 0.05?

To find the fraction equivalent to the decimal 0.05, we can represent it as 5/100

Simplify this fraction, to divide both numbers by their greatest common divisor.

$$ \frac{0.05}{1} х \frac{100}{100} \;=\; \frac{5}{100} $$

$$ \frac{5 ÷ 5}{100 ÷ 5} \;=\; \frac{1}{20} $$

$$ X \;=\; \frac{1}{20} $$

$$ 0.05 \;=\; \frac{1}{20} $$

Therefore, the fraction equivalent to the decimal 0.05 is 1/20.

What fraction is equivalent to the decimal 0.997?

To convert the decimal 0.997 into a fraction, it can be represented as 997/1000.Now, simplify this fraction by dividing both the numerator and the denominator by their greatest common divisor.

$$ \frac{0.997}{1} х \frac{1000}{1000} \;=\; \frac{997}{1000} $$

$$ 0.997 \;=\; \frac{997}{1000} $$

Therefore, the fraction equivalent to the decimal 0.997 is 997/1000.

What fraction is equivalent to the repeating decimal number 0.41?

To convert the repeating decimal 0.41 into a fraction, suppose x is the number because as you can see the repeating part is 41. To convert this into a fraction, put x equal to the repeating part and subtract the non-repeating part from it as

$$ 𝑥 \;=\; 0.41 $$

$$ 100𝑥 \;=\; 41.41 $$

Now, subtract x from 100𝑥

$$ 100x − x \;=\; 41.41 − 0.41 $$

$$ 99x \;=\; 41 $$

Now, solve for 𝑥= 41/99

So, the fraction equivalent to the repeating decimal 0.41 is 41/99.

What fraction is equivalent to the decimal 0.58?

To convert the decimal 0.58 into a fraction, write it as 58/100 and then simplify the fraction.

$$ \frac{0.58}{1} х \frac{100}{100} \;=\; \frac{58}{100} $$

$$ \frac{58 ÷ 2}{100 ÷ 2} \;=\; \frac{29}{50} $$

$$ X \;=\; \frac{29}{50} $$

$$ 0.58 \;=\; \frac{29}{50} $$

So, the fraction equivalent to the decimal 0.58 is 29/50.

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