Notice

We and selected partners use cookies or similar technologies as specified in the cookie policy.
You can consent to the use of such technologies by closing this notice, by scrolling this page, by interacting with any link or button outside of this notice or by continuing to browse otherwise.
To find out more about the categories of personal information collected and the purposes for which such information will be used, please refer to our privacy policy.

California Consumer Notice

 0 AC +/- รท 7 8 9 ร 4 5 6 - 1 2 3 + 0 00 , =

# Fraction to Decimal Calculator

## This calculator can convert a fraction to decimal, make the denominator like 10, 100, 1000, etc., determine if the fraction is continued and gives a detailed solution.

How to convert a fraction to decimal

Decimal numbers began to be used for more convenient writing of fractions. To write a decimal number, you need to separate the whole-number part and the fractional part with a comma. If the fraction does not contain a whole-number part, you must put a zero in front of the comma. If the fraction has a denominator like 10, 100, 1000, etc. and the number of digits in the numerator is less than in the denominator, then to convert such a number into a fraction it is necessary to count the number of digits in the numerator and the number of zeros in the denominator. For example, the fraction
 12 1000
(zero point 12 thousandths) 2 digits in the numerator and 3 zeros in the denominator. 3 - 2 = 1, therefore, it is necessary to write one zero after the decimal point:
 12 = 0,012 1000

Let's give another example, the fraction
 3 1000

This fraction has 1 digit in the numerator, 3 zeros in the denominator. 3 - 1 = 2, therefore, it is necessary to write two zeros after the decimal point:
 3 = 0,003 1000

And the last example, fraction
 12 100

This fraction has 2 digits in the numerator and 2 zeros in the denominator. 2 - 2 = 0, therefore, no need to add a zero after the decimal point:
 12 = 0,12 100

If the denominator of a fraction is a number other than numbers like 10, 100, 1000, etc., then it is necessary to make the denominator of such a fraction like 10, 100, 1000, etc. The first step is to simplify the fraction. Then expand the denominator of the fraction into prime factors. If the expansion contains at least one factor other than 2 or 5, then such a fraction can only be represented as an infinite decimal number. If in the expansion of a fraction all factors are numbers 2 or 5, then it is necessary to make sure that the number of twos and fives is the same. To do this, you need to multiply the numerator and denominator of the fraction by the missing number of twos or fives. For example,
 1 = 40
 1 = 2โ2โ2โ5
 1โ5โ5 = 2โ2โ2โ5โ5โ5
 25 = 1000
 0.025

Let's give another example
 5 301 = 200
 6 101 = 200
 6 101 = 2โ2โ2โ5โ5
 6 101โ5 = 2โ2โ2โ5โ5โ5
 6 505 = 1000
 6.505

Let's give an Example of an infinite decimal
 1 = 3
 0.333333333333333...

When converting this fraction to a decimal number, an infinite decimal number is obtained.
 You may also find the following calculators helpful Fraction Calculators Simplifying Fractions Calculator Improper to Mixed Fraction Calculator Mixed Fraction to Improper Calculator Fractions Calculator With Step by Step Solution Raising a Fraction to a Power. Online Calculator. Decimal to Fraction Calculator Fraction to Decimal Calculator Compare Fractions Calculator Common Denominator Calculator Trigonometers Calculators Sine Calculator Cosine Calculator Tangent Calculator Cotangent Calculator Secant Calculator Cosecant Calculator Arcsine Calculator Arccosine Calculator Arctangent Calculator Arccotangent Calculator Arcsecant Calculator Arccosecant Calculator Numeral Systems Calculators Roman Numeral Calculator Roman Numerals From 1 to 3999 Numeral Systems Calculator Binary Calculator. Addition, Subtraction, Multiplication and Division of Binary Numbers. Calculators (Number theory) Mathematical Expressions Calculator Calculator Parentheses Prime Factorization Calculator Gcd and Lcm Calculator With Steps Gcd and Lcm calculator using Euclidean algorithm Gcd and Lcm Calculator for Any Number of Numbers Break Down the Number Into Its Place Value Divide a Number by a Ratio. Online Calculator With Steps Percentage Calculator With Steps Scientific Notation to Decimal Conversion Calculator Scientific Notation Converter Factorial Calculator With Steps Logarithm Calculator Quadratic Equations Calculator With Steps Remainder Calculator Root Calculator Decimal Period Calculator Big Number Calculator Rounding Numbers Calculator Properties of Roots and Exponents Calculator Complex Number Calculator Area Calculators Area of a Square Calculator Area of a Rectangle Calculator Combinatorics Calculators Permutations of N Elements Calculator Combinations of N Elements by M Calculator Permutations of N Elements by M Calculator Math Trainers Addition Math Trainer Subtraction Math Trainer Multiplication Math Trainer Division Math Trainer Multiplication Table Math Trainer Online Preschool Counting Trainer Online Preschool Mindfulness Trainer Online Addition Subtraction Multiplication Division Math Trainer. Find the Correct Answer. Online Numeric Expression Trainer Linear Algebra and Analytical Geometers Calculators Matrix Addition and Subtraction Calculator Matrix Multiplication Calculator Matrix Transpose Calculator Matrix Determinant Calculator Inverse Matrix Calculator Length of a Line Segment. Distance Between Points Online Calculator. Vector Coordinates Calculator From Two Points Vector Modulus (Length) Calculator Vector Addition and Subtraction Calculator Vector Dot Product Calculator. By Using the Length of the Vectors and Cosine of the Angle Between Vectors. Vector Dot Product Calculator. By Using Vector Coordinates. Vector Product Calculator. By Using Vector Coordinates. Vector Triple Product Calculator Vector Multiplication by Number Calculator Angle Between Vectors Calculator Vector Collinearity Check Calculator Vector Coplanarity Calculator Converters Length Converter Speed Converter Acceleration Converter Physics Calculators Mechanics Speed Time Distance Calculator Acceleration Speed Distance Calculator Displacement Time Calculator Time Calculator Newton's Second Law Calculator Gravitational Force Calculator Momentum Calculator Impulse Calculator Object Weight Calculator Optics Light Reflection and Refraction Calculator Electricity and Magnetism Ohm's Law Calculator Coulomb's Law Calculator Electric Field Strength Calculator Point Electric Charge Calculator Q Force Acting on Charge Calculator Distance From Charge Calculator Potential Charge Energy Calculator Electric Field Potential Calculator Conductor and Sphere Capacitance Calculator Capacitors Capacitance of Parallel Plate, Cylindrical and Spherical Capacitors Calculator Electric Field Strength in Parallel Plate, Cylindrical and Spherical Capacitors Calculator Voltage (Potential Difference) of Parallel Plate, Cylindrical and Spherical Capacitors Calculator Distance Between Plates in Parallel Plate Capacitor Calculator Plate Area in Parallel Plate Capacitor Calculator Energy Stored in Charged Capacitor Calculator Energy Stored in Parallel Plate, Cylindrical and Spherical Charged Capacitors Calculator Volumetric Energy Density of Parallel Plate, Cylindrical and Spherical Capacitors Calculator Astronomy Calculators Object Weight on Other Planets Gravitational Acceleration on the Planets of the Solar System and Their Satellites Generators Random Number Generator Password Generator