 | John William Colenso (bp. of Natal.) - 1867 - 244 pages
...3, 4, 5, 7, and 11. 113. If the numerator and denominator of a fraction be loth multiplied, or both divided by the same number, the value of the fraction will not be altered. Ex. 1. | =M=15=|2=&c. Ex. 2. || = « = if =£=• =|. For it is the same thing whether we... | |
 | James Bates Thomson - 1867 - 204 pages
...one. Thus, J = 2, f = lf. JVbte 25. — If the numerator and denominator are both multiplied or both divided by the same number, the value of the fraction will not be altered. Thus, f = 3; now if the numerator and denominator are both multiplied by 2, the fraction becomes... | |
 | Stoddard A. Felter - Arithmetic - 1868 - 238 pages
...Sparts? LESSON XLII. EEDUCTION. 37. Principle.— If both numerator and denominator are multiplied by the same number, the value of the fraction will not be changed, because The number of the parts increases in the same ratio as the size diminishes. ILLUSTRATION. 2X2... | |
 | Stoddard A. Felter - Arithmetic - 1868 - 360 pages
...denominator to the divisor. (i.) Principles. — I. If both numerator and denominator be multiplied by the same number, the value of the fraction will not be changed, because The number of parts is increased in the same ratio as their size is diminished. ILLUSTRATION.... | |
 | Robert Wallace - 1870 - 164 pages
...fraction by that number. 3. If the numerator and dennminator of a fraction be both multiplied, or both divided by the same number, the value of the fraction will not bf changed. (55). CASE I. — To reduce a fraction to its simplest form. RULE. — Decompose the numerator... | |
 | Stoddard A. Felter - 1872 - 222 pages
...denominators of which are less than 13. LESSON XLIII. 38. Principle.— If both numerator and denominator are divided by the same number, the value of the fraction will not be changed, because The number of the parts diminishes in the same ratio as the size increases. ILLUSTRATION. 4... | |
 | Shelton Palmer Sanford - Arithmetic - 1872 - 404 pages
...remains unchanged. Hence, PRINCIPLE V. If the numerator and the denominator be both multiplied or both divided by the same number, the value of the fraction will not be altered. Observation I. When we multiply the numerator of a fraction by any number, we increase the... | |
 | Charles Davies - Arithmetic - 1874 - 346 pages
...the fraction is not changed : therefore we have PROPOSITION YI.- — If both terms of a fraction be divided by the same number, the value of the fraction will not be changed. EXAMPLES. 1. Divide both terms of the fraction -$,. by 2 : this gives A i$=f Am. Ifil. What is proved... | |
 | Horatio Nelson Robinson - Arithmetic - 1875 - 180 pages
...as many times as there are «nits in the divisor. 6. If both numerator and denominator be multiplied by the same number, the value of the fraction will not be changed. 48. 1. James has -f of a dollar, John -| of a dollar, and George | of a dollar ; how many fifths of a dollar have they... | |
 | Horatio Nelson Robinson - Arithmetic - 1877 - 186 pages
...as many times as there are units in the divisor. 5. If both numerator and denominator be multiplied by the same number, the value of the fraction will not be changed. 6. If both numerator and denominator be divided by the sane uumbtr. the value of the fraction will... | |
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If the numerator and denominator of each fraction is multiplied (or divided) by the same number, the value of the fraction will not change. 
