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The reciprocal of a proper fraction is improper, and the reciprocal of an improper fraction not equal to 1 (that is, numerator and denominator are not equal) is a proper fraction. When the numerator and denominator of a fraction are equal (for example, 7 / 7 ), its value is 1, and the fraction therefore is improper.
A unit fraction is a positive fraction with one as its numerator, 1/ n. ... (reciprocal) of the denominator of the fraction, which must be a positive natural number ...
The multiplicative inverse of a fraction a/b is b/a. For the multiplicative inverse of a real number, divide 1 by the number. For example, the reciprocal of 5 is one fifth (1/5 or 0.2), and the reciprocal of 0.25 is 1 divided by 0.25, or 4.
Relation to continued fractions [ edit ] Every real number can be essentially uniquely represented as a simple continued fraction , namely as the sum of its integer part and the reciprocal of its fractional part which is written as the sum of its integer part and the reciprocal of its fractional part, and so on.
A simple or regular continued fraction is a continued fraction with numerators all equal one, ... Finally, the fractional part, 1 / 7 , is the reciprocal of 7, ...
This, for cyclic fractions with long repetends, allows us to easily predict what the result of multiplying the fraction by any natural number n will be, as long as the repetend is known. A proper prime is a prime p which ends in the digit 1 in base 10 and whose reciprocal in base 10 has a repetend with length p − 1.
While humans wouldn’t be very happy to find that organisms were growing on their skin, particularly fungi, algae, and insects, it works out pretty well for sloths. Sloths may be hosting entire ...
Reciprocal aircraft heading, 180 degrees (the opposite direction) from a stated heading Reciprocal lattice , a basis for the dual space of covectors, in crystallography Reciprocal length , a measurement used in science