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Home>Tools>Decimal Fraction Conversion
Decimal Fraction Conversion

This calculator converts decimal numbers to fractions and fractions to mixed numbers. Enter how many decimal places the decimal number repeats for repeating decimals.

Decimal Fraction Conversion

Decimal
Whole Number
Fraction
/

Output

0
1/2
1
    Introduction

    What is Demical?

    In algebra, a decimal number is described as a number with a decimal point separating the whole number and fractional parts. A decimal point is the dot in a decimal number. The digits after the decimal point represent a number less than one.

     

    What is Fraction?

    A fraction is a number that represents a portion of a whole in mathematics. There are two sections of it: a numerator and a denominator. The numerator is the total number of parts that make up the whole, while the denominator is the number of equivalent parts that make up the whole. For instance, consider the fraction.

     

    How to Convert a Decimal to a Fraction?

    1. Build a fraction with a 1 as the denominator and the decimal number as the numerator (top number) (bottom number). 

    2. Multiply the decimal places to remove them. To begin, count how many places to the right of the decimal there are. Next, multiply the numerator and denominator by 10x if you have x decimal positions. 

    3. Cut the fraction in half. Calculate the numerator and denominator's Greatest Common Factor (GCF), then divide the numerator and denominator by the GCF. 

    4. If necessary, transform the remaining fraction to a mixed number fraction.

    Decimal to fraction conversion table

    DecimalFraction
    0.000011/100000
    0.00011/10000
    0.0011/1000
    0.011/100
    0.083333331/12
    0.090909091/11
    0.11/10
    0.111111111/9
    0.1251/8
    0.142857141/7
    0.166666671/6
    0.21/5
    0.222222222/9
    0.251/4
    0.285714292/7
    0.33/10
    0.333333331/3
    0.3753/8
    0.42/5
    0.428571433/7
    0.444444444/9
    0.51/2
    0.555555555/9
    0.571428584/7
    0.63/5
    0.6255/8
    0.666666672/3
    0.77/10
    0.714285715/7
    0.753/4
    0.777777787/9
    0.84/5
    0.833333335/6
    0.857142866/7
    0.8757/8
    0.888888898/9
    0.99/10
    1.111/10
    1.26/5
    1.255/4
    1.313/10
    1.47/5
    1.53/2
    1.68/5
    1.717/10
    1.757/4
    1.89/5
    1.919/10
    2.55/2

     

    Frequently Asked Questions

    What are the 3 types of decimals?

    (1) Terminating decimals: these have a finite number of digits after the decimal point. (2) Recurring decimals: these have one or more repeating numbers or sequences of numbers after the decimal point, which continue infinitely. (3) Decimals which go on for ever, never ending and never forming a repeating pattern. These numbers are called irrational numbers and cannot be expressed as a fraction. We cover these decimals in the number course.

    What is a non decimal number?

    The number of digits a numeric system uses is called its radix. ... However, for raw binary information, non-decimal numbers (especially hex) are much easier to work with, and they are universally used by programmers from the largest mainframe to the smallest microcomputer.

    Where is a decimal?

    The decimal point is placed in between the ones and the tenths. The whole number is written to the left of the decimal point. The fractional part is written to the right of the decimal point. The decimal point makes it easy to read a decimal number.

    What are the 3 types of fraction?

    In Maths, there are three major types of fractions. They are proper fractions, improper fractions and mixed fractions. Fractions are those terms which have numerator and denominator.

    How do you do fractions in math?

    Step 1: Make sure the bottom numbers (the denominators) are the same. Step 2: Add the top numbers (the numerators), put that answer over the denominator. Step 3: Simplify the fraction (if needed)

    What is the formula of fraction?

    Fraction = number of parts / total parts Every fraction has a numerator that equals the number of parts we have and a denominator equaling the total number of parts in a whole.

    What is a proper fraction?

    A fraction in which the numerator is less or of lower degree than the denominator.

    How do I turn a decimal into a fraction?

    To convert a decimal to a fraction, place the decimal number over its place value. For example, in 0.6, the six is in the tenths place, so we place 6 over 10 to create the equivalent fraction, 6/10. If needed, simplify the fraction.

    What is improper fraction example?

    A fraction where the numerator (the top number) is greater than or equal to the denominator (the bottom number). Example: 5/3 (five thirds) and 9/8 (nine eighths) are improper fractions.

    What are the most common fractions?

    A fraction where both top and bottom numbers are integers. Example: 1/2 and 3/4 are both Common Fractions. But 1.2/4 is NOT a Common Fraction.
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