Fraction to Decimal and Decimal to Fraction Converter
Fractions and decimals are two ways to represent and work with rational numbers. In various mathematical calculations and everyday situations, we often need to convert between these two representations. This article will discuss the conversion process between fractions and decimals, including their descriptions, formulas, and examples with tables.
Fraction To Decimal Calculator
Calculations:
Fraction  Decimal  Link : 

882/490  1.8  882/490 as a decimal 
97/55  1.7636363636364  97/55 as a decimal 
58/59  0.98305084745763  58/59 as a decimal 
39/109  0.35779816513761  39/109 as a decimal 
35 4/19  35.210526315789  35 4/19 as a decimal 
3 43/107  3.4018691588785  3 43/107 as a decimal 
Fraction to Decimal Conversion
A fraction is a representation of a rational number in the form of a/b, where a is the numerator and b is the denominator. To convert a fraction to a decimal, simply divide the numerator by the denominator:
Decimal = Numerator / Denominator
Example
Convert the fraction 3/4 to a decimal:
Decimal = 3 / 4 = 0.75
So, the decimal representation of 3/4 is 0.75.
Fraction to Decimal Conversion Table
Fraction  Decimal 

1/2  0.5 
1/4  0.25 
3/4  0.75 
1/8  0.125 
5/8  0.625 
Decimal To Fraction Calculator
Calculations:
Decimal  Fraction  Link : 

22.624  2828/125  22.624 as a fraction 
11.971  11971/1000  11.971 as a fraction 
45.18  2259/50  45.18 as a fraction 
41.09  4109/100  41.09 as a fraction 
5.29  529/100  5.29 as a fraction 
7.61  761/100  7.61 as a fraction 
Decimal to Fraction Conversion
A decimal is a number that represents a rational number using the decimal numeral system. Decimal numbers can be finite or repeating. To convert a decimal to a fraction, follow these steps:
 Determine the place value of the last digit of the decimal (e.g., tenths, hundredths, etc.).
 Write the decimal as a fraction with the denominator equal to the place value (e.g., 10 for tenths, 100 for hundredths, etc.).
 Simplify the fraction, if possible, by finding the greatest common divisor (GCD) of the numerator and denominator and dividing both by the GCD.
Example
Convert the decimal 0.75 to a fraction:
 The last digit of 0.75 is in the hundredths place.
 Write 0.75 as a fraction: 75/100.
 Simplify the fraction by finding the GCD of 75 and 100 (which is 25), and dividing both the numerator and denominator by the GCD: (75 / 25) / (100 / 25) = 3/4. So, the fractional representation of 0.75 is 3/4.
Fraction to Decimal Conversion Table
Decimal  Fraction 

0.5  1/2 
0.25  1/4 
0.75  3/4 
0.125  1/8 
0.625  5/8 
FractionDecimal.com provides an overview of fraction to decimal, decimal to fraction conversion, along with descriptions, formulas, and examples with tables. You can use these concepts to better understand the relationships between fractions, decimals and percentages to perform conversions in various mathematical and realworld applications.
Fractions and Decimals
Fractions: Fractions represent parts of a whole. They consist of a numerator (the number above the line) and a denominator (the number below the line). For example, in the fraction 3/4, the numerator is 3 (three parts) and the denominator is 4 (four equal parts making up the whole).
Decimals: Decimals are another way to represent parts of a whole or numbers. They are based on powers of 10 and are expressed in terms of tenths, hundredths, thousandths, and so on. For instance, 0.5 represents 5 tenths or half of a whole, while 0.25 stands for 25 hundredths.
Conversion between Fractions and Decimals:

Converting Fractions to Decimals:
To convert a fraction to a decimal, divide the numerator by the denominator. For example:
3/4 = 3 ÷ 4 = 0.75

Converting Decimals to Fractions:
To convert a decimal to a fraction, identify the place value of the decimal and use it as the numerator. The denominator will be a power of 10 corresponding to the decimal's place value. For instance:
0.6 = 6/10 = 3/5 (Simplified)

Common Fraction to Decimal Equivalents:
Some fractions have common decimal equivalents, such as1/2 = 0.5
,1/4 = 0.25
,1/5 = 0.2
, and so on. Recognizing these equivalents can be helpful for quick conversions.
Understanding the relationship between fractions and decimals is crucial in various mathematical operations, including addition, subtraction, multiplication, and division. Moreover, knowing how to convert between them provides flexibility in problemsolving and facilitates comparisons between different representations of numbers.
Mastering these concepts and conversions helps in everyday situations as well. For instance, when dealing with measurements or money, decimals are often used, but fractions might be more practical for certain tasks or estimations.
Practicing with exercises involving both fractions and decimals can significantly enhance one's mathematical skills, fostering a deeper understanding of numbers and their representations.
More Fraction to Decimal and Decimal to Fraction Examples
Converting Fractions to Decimals
Example 1: Converting 5/8
to a decimal:
5 ÷ 8 = 0.625
Example 2: Converting 7/10
to a decimal:
7 ÷ 10 = 0.7
Example 1: Converting 3/4
to a decimal:
3 ÷ 4 = 0.75
Example 2: Converting 2/5
to a decimal:
2 ÷ 5 = 0.4
Converting Decimals to Fractions
Example 1: Converting 0.25
to a fraction:
0.25 = 25/100 = 1/4
(Simplified)
Example 2: Converting 0.8
to a fraction:
0.8 = 8/10 = 4/5
(Simplified)
Example 3: Converting 0.125
to a fraction:
0.125 = 125/1000 = 1/8
(Simplified)
Example 1: Converting 0.6
to a fraction:
0.6 = 6/10 = 3/5
(Simplified)
Example 2: Converting 0.375
to a fraction:
0.375 = 375/1000 = 3/8
(Simplified)