Calculator That Puts Decimals Into Fractions

This calculator converts decimal numbers to their simplest fraction form. It's useful for math problems, engineering calculations, and any situation where you need to work with fractions instead of decimals.

How to convert decimals to fractions

The process of converting a decimal to a fraction involves a few simple steps:

Write the decimal as a fraction with a denominator of 1
Multiply both the numerator and denominator by 10 until the numerator is an integer
Simplify the fraction by dividing both numerator and denominator by their greatest common divisor (GCD)

Formula: For a decimal number like 0.75, the conversion is:

0.75 = 75/100 = 3/4 (after simplifying)

Step-by-step example

Let's convert 0.625 to a fraction:

Write as fraction: 0.625 = 625/1000
Find GCD of 625 and 1000 (which is 125)
Divide numerator and denominator by 125: 625 ÷ 125 = 5, 1000 ÷ 125 = 8
Final fraction: 5/8

Note: The calculator automatically handles simplification and reduces fractions to their simplest form.

Examples of decimal to fraction conversion

Here are some common decimal to fraction conversions:

Decimal	Fraction
0.5	1/2
0.25	1/4
0.75	3/4
0.125	1/8
0.375	3/8

These examples show how common decimals convert to simple fractions. The calculator can handle more complex decimals as well.

FAQ

Can this calculator handle repeating decimals?: Yes, the calculator can convert repeating decimals to fractions. For example, 0.333... (1/3) or 0.142857... (1/7).
What if the decimal has more than two decimal places?: The calculator automatically handles decimals with any number of decimal places by multiplying numerator and denominator by the appropriate power of 10.
Is the result always in simplest form?: Yes, the calculator simplifies the fraction to its lowest terms by dividing both numerator and denominator by their greatest common divisor.
Can I use negative decimals?: Yes, the calculator accepts negative decimal numbers and converts them to negative fractions.
What if the decimal is a whole number?: If the decimal has no decimal places (like 5.0), the calculator will return the whole number as a fraction with denominator 1 (like 5/1).