Forms of fractions
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Vulgar fraction
Definition.
A vulgar fraction or common fraction or simple fraction — is a rational number written as one integer (the numerator) m divided by a non-zero integer (the denominator) n, such as Proper fraction
Definition.
A vulgar fraction is said to be a proper fraction if the absolute value of the numerator is less than the absolute value of the denominator.| 7 | , | 5 | — proper fractions. |
| 9 | 6 |
Improper fraction
Definition.
A vulgar fraction is said to be an improper fraction or composed fraction if the absolute value of the numerator is greater than or equal to the absolute value of the denominator.| 9 | , | 3 | — improper fractions. |
| 7 | 3 |
Mixed number (mixed fraction)
It is possible to present any improper fraction in the form of the sum of whole number and a proper fraction.
Definition.
A mixed number is the sum of a whole number and a proper fraction. This sum is implied without the use of any visible operator such as "+".| 3 | 2 | = 3 + | 2 | = | 21 | + | 2 | = | 23 |
| 7 | 7 | 7 | 7 | 7 |
Decimal
Definition.
Decimals are fractions that have: integer part (thousands, hundreds, tens, ones) and decimal point and fractional part (tenths, hundredths, thousandths – decimal position).| 3.2609 | = 3 + | 2 | + | 6 | + | 0 | + | 9 | = 3 + | 2609 |
| 10 | 100 | 1000 | 10000 | 10000 |
Fraction
Forms of fractions (vulgar fraction, proper fraction, improper fractions, mixed numbers, decimals)
The basic property of fraction
Simplifying fractions
Least common denominator of fractions
Converting improper fractions (composed fractions) to mixed numbers
Converting mixed numbers to improper fractions (composed fractions)
Addition and Subtraction of fractions
Multiplication of fractions
Division of fractions
Comparing fractions
Convert Decimals to Common Fractions
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