# Arithmetic : Fractions

A proper fraction is a fraction with a numerator smaller than the denominator, and therefore a value less than 1.
An improper fraction is a fraction with a numerator greater than or equal to the denominator, and therefore a value greater than or equal to 1.
A mixed number comprises a natural number and a properfraction, and therefore always has a value greater than 1.
To convert a mixed number to an improper fraction, first multiply the natural number by the denominator of the fractional part, then add it to the numerator of the fractional part, and finally use this sum as the numerator of the required fraction. The denominator of the required fraction is the same as the denominator of the fractional part of the mixed number.
For example to convert 5 ¾ to a fraction, we multiply 5 by 4 to get 20. Then, 20 + 3 = 23. Finally, 5¾ = 23/4.
After fractions are added, subtracted, multiplied or divided, the result is often expressed as a mixed number if it is an improper fraction.
Note that any whole number
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