Decimal to Fraction Converter
Convert between decimals & fractions with step-by-step explanations.
For mixed numbers like 2¾, enter 2 here
Enter how many decimal places you want in the result (1-15). Leave empty for full precision.
Result
Step-by-Step Explanation
What Is A Fraction?
A fraction represents a part of a whole and consists of two numbers: the numerator (top) and the denominator (bottom). The numerator indicates how many parts are being considered, while the denominator indicates the total number of equal parts the whole is divided into.
What is Numerator and Denominator?
In a fraction, the numerator is the top number that represents how many parts of the whole are being considered, while the denominator is the bottom number that indicates into how many equal parts the whole is divided. For example, in the fraction 3/4, 3 is the numerator and 4 is the denominator.
Understanding Decimal and Fraction Conversion
Terminating Decimals: Decimals that end, like 0.5 = 1/2. These have denominators with only factors of 2 and 5.
Repeating Decimals: Decimals that repeat forever, like 0.333... = 1/3. The repeating part is shown with a bar over the repeating digits.
Mixed Numbers: A combination of a whole number and a proper fraction, like 1¾, which equals the improper fraction 7/4.
Simplification: Fractions are simplified by dividing both numerator and denominator by their Greatest Common Divisor (GCD).
What Is Repeating Decimal?
In mathematics, a repeating decimal (or recurring decimal) is a decimal representation of a number that eventually becomes periodic (the same sequence of digits repeats indefinitely). For example, 1/3 = 0.333... (with 3 repeating) and 2/11 = 0.181818... (with 18 repeating). Repeating decimals can be represented with a bar notation, where a horizontal line (vinculum) is placed over the digits that repeat. For instance, 0.666... can be written as 0.6.