A fraction is in " lowest terms " if the only factor common to the numerator and the denominator is 1.
12.
For any rational non-integer in lowest terms there must be a prime in the denominator which does not divide into the numerator.
13.
As Mark Celio, a financial education advocate in California, explains : " They put it in the lowest terms possible so it sounds smaller.
14.
For example, \ tfrac { 3 } { 9 } is not in lowest terms because both 3 and 9 can be exactly divided by 3.
15.
For example, an algebraic fraction is in lowest terms if the only factors common to the numerator and the denominator are 1 and " 1.
16.
The Stern-Brocot tree provides an enumeration of all positive rational numbers, in lowest terms, obtained purely by iterative computation of the mediant according to a simple algorithm.
17.
It follows from the discussion in the previous section that this is a primitive th-root if and only if the fraction is in lowest terms, i . e . that and are coprime.
18.
For a Gaussian rational represented in lowest terms as p / q, the radius of this sphere should be 1 / q \ bar q where \ bar q represents the complex conjugate of q.
19.
On the other hand, if \ lambda _ 1 is rational then each point of the interval is periodic, and the period is the denominator of \ lambda _ 1 ( written in lowest terms ).
20.
We can reduce the fractions to lowest terms by noting that the two occurrences of b on the left-hand side cancel, as do the two occurrences of on the right-hand side, leaving:
