Converting Fractions into Decimals using Python
Among the various types of numbers are decimals, integers, rational numbers, and complex numbers. It should be noted that rational numbers and irrational numbers are both classified as fractions.
Convert fraction to decimal in Python
I need to change 1/2 into a decimal format in Python. This way, when I use the command «print x» (where x is equal to 1/2), it will display 0.5.
I am searching for the simplest approach to accomplish this task, without the utilization of splits, loops, or maps.
Could anyone clarify why I am getting 0 when trying float(1/2) and suggest a solution for the same?
Is it feasible to accomplish this task without altering the variable’s value, which is currently set to 1/2?
A float is always returned by any division in Python 3.x.
In order to accomplish this in Python 2.x, it is necessary to coerce the conversion of the value to float.
Alternatively, importing the division can be done from the «future».
>>> from __future__ import division >>> 1/2 0.5
In addition, it should be noted that while fraction type is not built-in, it is available in Python’s standard library.
>>> from fractions import Fraction >>> a = Fraction(1, 2) #or Fraction('1/2') >>> a Fraction(1, 2) >>> print a 1/2 >>> float(a) 0.5
In case the input is a string, applying Fraction directly onto it would suffice.
from fractions import Fraction x='1/2' x=Fraction(x) #change the type of x from string to Fraction x=float(x) #change the type of x from Fraction to float print x
Chances are high that you are utilizing Python 2. To address the division issue, you may utilize the following «fix»:
from __future__ import division
Prior to importing any other modules, include the / operator at the beginning of your script. In Python 2, if integer operands are used with this operator, the result will undergo integer division , which involves discarding any fractional parts.
In Python 3, the behavior of division has been altered. It now always results in floating point division, as opposed to the previous behavior described in / . The new behavior is reflected in // , which is an improvement over the previous implementation operator performs integer division.
You have the option to perform floating point division through two methods. You can either specify a decimal or multiply your number by 1.0. This can be executed within the Python interpreter as an example.
>>> print 1/2 0 >>> print 1./2 0.5 >>> x = 1/2 >>> print x 0 >>> x = 1./2 >>> print x 0.5 >>> x = 1.0 * 1/2 >>> print x 0.5
It seems that someone else had already responded by the time I finished typing my answer.
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Converting Mixed Numbers to Decimals
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How to Convert Fractions to Decimals
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This math video tutorial explains how to convert fractions to decimals using long division. It explains how to convert improper fractions to …
Convert a text fraction to a decimal
I searched for information on C# but couldn’t find anything, similar to the previous question asked about JavaScript.
A text box is utilized to input a quantity which is then saved in a database as a double. Although, some quantities may be entered as string fractions such as 1/2 for 0.5. To save them in the database, I require converting them to decimals. Although, it would be good to also have the ability to convert back, it is not a necessity. Both fractions and mixed numbers, for instance, 2 1/2, should be handled and saved as decimals, such as 2.5.
Anybody know a way of doing this?
Consider breaking it down using the space and slash, for instance:
double FractionToDouble(string fraction) < double result; if(double.TryParse(fraction, out result)) < return result; >string[] split = fraction.Split(new char[] < ' ', '/' >); if(split.Length == 2 || split.Length == 3) < int a, b; if(int.TryParse(split[0], out a) && int.TryParse(split[1], out b)) < if(split.Length == 2) < return (double)a / b; >int c; if(int.TryParse(split[2], out c)) < return a + (double)b / c; >> > throw new FormatException("Not a valid fraction."); >
Success! Don’t forget to also inspect for division by zero, as it may yield Infinity, -Infinity, or NaN as the output.
Here is another seamless solution that integrates even better.
public class FractionalNumber < public Double Result < get < return this.result; >private set < this.result = value; >> private Double result; public FractionalNumber(String input) < this.Result = this.Parse(input); >private Double Parse(String input) < input = (input ?? String.Empty).Trim(); if (String.IsNullOrEmpty(input)) < throw new ArgumentNullException("input"); >// standard decimal number (e.g. 1.125) if (input.IndexOf('.') != -1 || (input.IndexOf(' ') == -1 && input.IndexOf('/') == -1 && input.IndexOf('\\') == -1)) < Double result; if (Double.TryParse(input, out result)) < return result; >> String[] parts = input.Split(new[] < ' ', '/', '\\' >, StringSplitOptions.RemoveEmptyEntries); // stand-off fractional (e.g. 7/8) if (input.IndexOf(' ') == -1 && parts.Length == 2) < Double num, den; if (Double.TryParse(parts[0], out num) && Double.TryParse(parts[1], out den)) < return num / den; >> // Number and fraction (e.g. 2 1/2) if (parts.Length == 3) < Double whole, num, den; if (Double.TryParse(parts[0], out whole) && Double.TryParse(parts[1], out num) && Double.TryParse(parts[2], out den)) < return whole + (num / den); >> // Bogus / unable to parse return Double.NaN; > public override string ToString() < return this.Result.ToString(); >public static implicit operator Double(FractionalNumber number) < return number.Result; >>
By implementing the implicit operator, the usage of it becomes straightforward and effortless.
Double number = new FractionalNumber("3 1/2");
The Double constant Double.NaN is returned for unparsable inputs. While not exhaustive, the class can handle basic inputs and can be customized to suit specific requirements.
Divide the two numbers after splitting the string by using the forward slash.
public float FractionToDecimal(String input) < String[] fraction = input.Split(new[] < "/" >, StringSplitOptions.RemoveEmptyEntries); if (fraction.Length != 2) < throw new ArgumentOutOfRangeException(); >Int32 numerator, denominator; if (Int32.TryParse(fraction[0], out numerator) && Int32.TryParse(fraction[1], out denominator)) < if (denominator == 0) < throw new InvalidOperationException("Divide by 0 occurred"); >return (float)numerator / denominator; > throw new ArgumentException(); >
Consider using tools such as http://csharpeval.codeplex.com/ or https://github.com/Giorgi/Math- to achieve your goal.
The two libraries, written in C#, are comprehensive evaluators of mathematical expressions. While they may be excessive for your requirements, it’s worth noting them for the advantage of others.
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Convert Decimal to Fraction
Numeric values are utilized to represent the quantity or measurement of an object, such as a person’s weight, the length of a geometric shape, or the value of money. There are various classifications of numbers, including decimals, integers, rationals, and complex numbers.
Decimal Number
A decimal number is one that has an integer part and a fractional part separated by a decimal point. While measuring the weight of a person/thing, it may not always be possible to represent the weight in whole numbers such as 50 or 55. In certain cases, the weight may fall between 50 and 51, and this is where decimal numbers can come into play.
Numeric values such as 0.619 and 50.5 are included as examples.
Fraction
A quotient number represented as a numerator divided by a denominator in the form of a/b can be referred to as a fraction. It can consist of any two numbers, a and b. Even irrational numbers can be considered as fractions.
A few examples of fractions include 619/1000, and so on.
Suppose we have a Decimal value c that can be transformed into a fraction a/b, where solving the fraction a/b yields the value of c.
c = a/b
For a fraction represented as a/b, where b and c are decimal numbers.
In order to transform decimal number to a fraction , it is necessary to proceed through a series of prescribed actions.
Decimal to fraction Conversion
To transform a decimal number into a fraction, a specific set of instructions must be adhered to. Let’s examine these procedures.
To initiate the process, start by dividing the given decimal number by 1.
A numerical value of 0.72 represented in decimal form.
The second step involves multiplying both the numerator and denominator by 10 for each decimal point in the numerator.
To calculate the fraction in this scenario, you need to multiply both the numerator and denominator by 10 twice since there are two digits after the decimal point.
Multiplying 0.72 by 10 and then again by 10, and then dividing the result by 1, and finally multiplying by 10 and once again by 10, will yield a value of 72 divided by 100.
In Step 3, simplify the fraction obtained from Step 2 until it cannot be simplified any further.
To convert from Decimal to Fraction , one should adhere to a set of three steps.
To gain a better understanding, let’s examine a few instances.
Sample Problems
Question 1: Co
t a decimal 0.1 to a fraction
First step involves using the code Divide decimal and assigning the value of 1 to it.
= 0.1/1
In the second step, since there is only one number after the decimal point, you need to multiply both the numerator and denominator by 10 once.
= 0.1 × 10/1 × 10 = 1/10
After completing step 2, we cannot simplify the resulting fraction any further. Therefore, we can consider the fraction of 1/10 as the final result.
So fraction of 0.1 = 1/10
How can 6.25 in decimal form be expressed as a fraction?
Ste
8211; 1 Divide decimal with 1
= 6.25 /1
For the second step, since there are two digits after the decimal point, you should multiply both the numerator and denominator by 10 twice.
By simplifying the expression 6.25 × 10 × 10/1 × 10 × 10, it can be represented as 625/100.
In the third step, simplify the fraction 625/100.
625/100 = 125/20 = 25/4
So fraction of 6.25 = 25/4
What is the mixed fraction equivalent of the decimal 6.25?