 | James A. Christie - 1865 - 454 σελίδες
...is also evident from Principle xx. For, v A = A xf = U ' ••• U Hf = -A- = ft-. Hence, Dividing Numerator and Denominator by the same Number does not alter the value of the Fraction. EXTENSION OF PRINCIPLE XIII. Multiplying or Dividing the Numerator and Denominator of a Fraction by... | |
 | Whitman Peck - 1868 - 304 σελίδες
...number, divides the value of the fraction by that number ; thus — m. Multiplying or dividing both numerator and denominator by the same number does not alter the value of a fraction; thus — 16_= 16 X4_64_ 1£44 j4 8 8 X4=32=2 ' "8 -M=~2=2* EXERCISES. Bead, name the kind,... | |
 | Benjamin Greenleaf - 1871 - 350 σελίδες
...fraction (Art. 133), remains the same. Therefore, Multiplying the numerator and denominator of a fraction by the same number does not alter the value of the fraction. RULE. — Multiply each numerator by all the denominators except its own, for the new numerators; and... | |
 | James Bates Thomson - 1872 - 236 σελίδες
...Multiplying the denominator, divides the fraction. IV. Dividing the denominator, multiplies the fraction. V. Multiplying or dividing both the numerator and denominator...number, does not alter the value of the fraction. REDUCTION OF FRACTIONS. MENTAL EXERCISES. 1. If I divide an apple into halves, how can I express one... | |
 | George Payn Quackenbos - 1872 - 350 σελίδες
...denominator have no common divisor greater than 1. EXAMPLE. — Reduce 4f to its lowest terms. Dividing both numerator and denominator by the same number does not alter the value of the fraction (§ 137). We therefore divide by their common factors in succes- EI 45 o sion. Dividing by fi, we I... | |
 | Josiah Rhinehart Sypher - 1872 - 340 σελίδες
...and the denominator 8 be divided by 2, the result will be 7; and thus the principle is deduced that multiplying or dividing both the numerator and denominator by the same number will not alter the value of the fraction. OPERATIONS IN FRACTIONS. With a thorough knowledge of the... | |
 | Josiah Rhinehart Sypher - 1872 - 336 σελίδες
...and the denominator 8 be divided by 2, the result will be s -\ and thus the principle is deduced that multiplying or dividing both the numerator and denominator by the same number will not alter the value of the fraction. OPERATIONS IN FRACTIONS. With a thorough knowledge of the... | |
 | Benjamin Greenleaf - 1872 - 192 σελίδες
...fractions a common denominator ? 39. How do you reduce fractious to a common denominator ? 40. Does multiplying or dividing both the numerator and denominator by the same number alter the value of a fraction ? LESSON XXXII. 1. If a family consume f of a barrel of flour in 1 week,... | |
 | James Bates Thomson - 1873 - 240 σελίδες
...value. 19. What is the principle upon which these changes are made ? The principle that multijilying or dividing both the numerator and denominator by...same number does not alter the value of the fraction. (P. 93, Pr. V.) CASE I. To reduce a Fraction to higher terms. 1. Reduce f to twentieths. ANALYSIS.... | |
 | Richard Rickard - 1873 - 364 σελίδες
...Example 1. — Reduce if J to its lowest termSi as. _ )ns -I- Is _ _?. Explanation. — Dividing tion by the same number does not alter the value of the fraction. Hence, if both the terms of -JJgbe divided by 15, the GCD of 105 and 165, the resulting fraction -fa... | |
| |
... multiplying or dividing both the numerator and denominator by the same number, does not alter the value of the fraction. 
