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This calculator converts decimal numbers to fractions and fractions to mixed numbers. For repeating decimals, enter the number of decimal places in the repeating sequence to get an accurate fraction conversion.
Decimal Fraction Conversion
Introduction
In mathematics, a decimal is a number that uses a decimal point to separate the whole number part from the fractional part. The dot itself is called the decimal point. The digits to the right of the decimal point represent values less than one (such as tenths, hundredths, etc.), allowing for precise calculations beyond whole integers.
A fraction represents a part of a whole. It consists of two specific numbers separated by a line:
Follow these simple steps to convert any decimal into a fraction:
| Decimal | Fraction | Decimal | Fraction |
|---|---|---|---|
| 0.0001 | 1/10000 | 0.5 | 1/2 |
| 0.001 | 1/1000 | 0.555... | 5/9 |
| 0.01 | 1/100 | 0.5714 | 4/7 |
| 0.0833 | 1/12 | 0.6 | 3/5 |
| 0.0909 | 1/11 | 0.625 | 5/8 |
| 0.1 | 1/10 | 0.666... | 2/3 |
| 0.111... | 1/9 | 0.7 | 7/10 |
| 0.125 | 1/8 | 0.7142 | 5/7 |
| 0.1428 | 1/7 | 0.75 | 3/4 |
| 0.166... | 1/6 | 0.777... | 7/9 |
| 0.2 | 1/5 | 0.8 | 4/5 |
| 0.222... | 2/9 | 0.833... | 5/6 |
| 0.25 |
| 1/4 |
| 0.8571 |
| 6/7 |
| 0.2857 | 2/7 | 0.875 | 7/8 |
| 0.3 | 3/10 | 0.888... | 8/9 |
| 0.333... | 1/3 | 0.9 | 9/10 |
| 0.375 | 3/8 | 1.1 | 11/10 |
| 0.4 | 2/5 | 1.25 | 5/4 |
| 0.4285 | 3/7 | 1.5 | 3/2 |
| 0.444... | 4/9 | 1.75 | 7/4 |
(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.
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.
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.
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.
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)
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.
A fraction in which the numerator is less or of lower degree than the denominator.
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.
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.
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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