Footnote 26: "The entire active life of the individual may be represented by a fraction, the numerator of which is any particular moment, the denominator is the rich inheritance of the past.
In other words, after dividing by 20 the only part of the resulting quotient which is used in determining the new day sign is the numerator of the fractional part.
Counting forward the numerator of the fractional part of the resulting quotient (1) from the day coefficient of the starting point (2), we reach 3 as the day coefficient of the terminal date.
Well, and to do that you have to take the numerator of the first fraction.
In this case, the numerator of the first fraction.
To divide a fraction by a fraction you must multiply the numerator of the first fraction by the denominator of the second, and that will be the numerator of the quotient.
Suppose we want to divide seven eighths not by two fifths but by two, that is, by the numerator only.
As h tends towards the limit 0, and consequently u is large, the numerator tends to the limit -[oo].
On the other hand if h = [oo], in which case u is small, the numerator becomes equal to 1.
Physicists and mathematicians express it by a fraction whose numerator is the space run over and whose denominator is the time consumed.
Multiply the whole number by the denominator of the fraction; add the numerator to the product, and write the sum over the denominator.
Hence we have the following rule: To multiply two fractions together, multiply the numerators for a new numerator and the denominators for a new denominator.
Therefore, to convert a common fraction to a decimal fraction, we divide the numerator by the denominator.
Multiplying both numerator and denominator of a fraction by the same number does not change the value of the fraction.
Dividing both numerator and denominator of a fraction by the same number does not change the value of the fraction.
Hence, to multiply a fraction by a whole number, simply multiply thenumerator by that number.
Multiplying the numerator of a fraction multiplies the fraction by that number.
We have seen that a common fraction represents the quotient of the numeratordivided by the denominator.
Hence, if the numerator be exactly divisible by the divisor, we may divide a fraction by a whole number by dividing the numerator by that number.
In multiplying by a fraction, write the quantity in a line with the numerator and cancel common factors.
A fraction’s value is the quotient obtained by dividing the numerator by the denominator.
Dividing thenumerator of a fraction divides the fraction by that number.
The advantage of discarding the numerator is, then, that we avoid the use of fractions and are readily enabled to find any arc pitch from a given diametral pitch.
It is indicated at the extreme right of the numerator in the classification.
Eventually, through the use of each denominator figure and the elimination of each numerator over each denominator, the 32 over 32 primary will be reached.
SSS SSS SSS LLL each group of the numerator becoming in turn the denominator for the complete sequence of numerators as listed above.
The key, no matter where found, is always placed to the extreme left of the numerator of the classification formula (fig.
III III III III III III OOO each numerator in turn becoming the denominator for the complete sequence of numerators as listed above.
It is shown in the formula by capital letters representing the basic types of patterns appearing in the index fingers of each hand, that of the right hand being the numerator and that of the left hand being the denominator (fig.
The full sequence as listed may be used as the numerator for each denominator as set out below.
In the primary classification the denominator remains constant until all numerator figures have been exhausted from 1 to 32.
The 1 that is assigned to the numerator and the denominator when no whorls appear is also added, for consistency, to the value of the whorls when they do appear.
Multiplying the numerator and denominator by the same number does not alter the value of the fraction.
What have we done with the numerator and denominator in every case?
If we multiply both thenumerator and the denominator of the fraction 3/5 by 6, what will be the effect upon the value of the fraction?
To exemplify an inductive lesson, there may be noted the process of learning the rule that to multiply the numerator and denominator of any fraction by the same number does not alter the value of the fraction.
This fraction is usually written with a numerator 1, as above, no definite unit of inches or miles being specified in either the numerator or denominator.
The numerator usually refers to the vertical distance, and the denominator to the horizontal distance.
If the regular Snellen card is used containing letters of different size, place in the denominator the number of the lowest line each eye and both eyes together can read easily, and in the numerator the number of feet from card to eye.
Proper fraction, a fraction in which the numerator is less than the denominator.
Improper fraction, a fraction in which the numerator is greater than the denominator.
Clearly, the nature of the other numerator must be ascertained.
Thus, in the case of 96 + 4, one can say at once that if any answers are obtainable, then the roots of both the numerator and the denominator of the fraction will be 6.
A little thought will make it clear that the answer must be fractional, and that in one case the numerator will be greater and in the other case less than the denominator.
The next step (11) is to understand to some extent the principle that the value of any of these fractions is unaltered by multiplying or dividing the numerator and denominator by the same number.
The terms numeratorand denominator are connected with the upper and lower numbers composing a fraction.
The numerator and denominator of this fractional expression of the change-gear ratio are next multiplied by some trial number to determine the size of the gears.
Place the lathe screw constant multiplied by the lead of the required thread in millimeters multiplied by 5, as the numerator of the fraction, and 127 as the denominator.
One factor in the numeratorand one in the denominator make a "pair" of factors.
The product of the numbers in the numerator equals the number of teeth for the spindle-stud gear, and 127 is the number of teeth for the lead-screw gear.
A vulgar fraction is reduced to a decimal by dividing the numerator (increased sufficiently with ciphers) by the denominator.
The denominator of decimals is never written, the dot placed before the first figure of the numerator expressing its value.
A fractional number is called a proper fraction or an improper fraction according as the numerator is or is not less than the denominator; and an expression such as 2(1/6) is called a mixed number.
If the numerator is a multiple of 5, the fraction represents twentieths.
By means of the present and the preceding sections the rule given in S 63 can be extended to the statement that a fractional number is equal to the number obtained by multiplying its numerator and its denominator by any fractional number.
The Babylonians expressed numbers less than 1 by the numerator of a fraction with denominator 60; the numerator only being written.
This is done by multiplying both numerator and denominator by 7; i.
If the numerator of the fraction consists of an integer and 1/2--e.
A fraction is said to be in its lowest terms when its numerator and denominator have no common factor; or to be reduced to its lowest terms when it is replaced by such a fraction.
When a fraction cannot be expressed by an integral percentage, it can be so expressed approximately, by taking the nearest integer to the numerator of an equal fraction having 100 for its denominator.
Thus to divide by a fractional number we must multiply by the number obtained by interchanging the numerator and the denominator, i.
The above list will hopefully give you a few useful examples demonstrating the appropriate usage of "numerator" in a variety of sentences. We hope that you will now be able to make sentences using this word. Other words: argument; element; equation; formula
