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" It will be seen by the above section that if both the numerator and denominator be multiplied by the same number, the value of the fraction will not be altered... "
An Introduction to Algebra Upon the Inductive Method of Instruction - Σελίδα 92
των Warren Colburn - 1830 - 276 σελίδες
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Practical Arithmetic: Embracing the Science and Applications of Numbers

Charles Davies - 1866 - 356 σελίδες
...therefore, we have 119. What is Proposition V.? PROPOSITION VI. — 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 T\ by 2 . this gives 8 -L. •> , I 16 -H 2...

A shilling arithmetic

John William Colenso (bp. of Natal.) - 1867 - 244 σελίδες
...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 divide the...

Arithmetical Analysis, Or Higher Mental Arithmetic for Advanced Classes

James Bates Thomson - 1867 - 204 σελίδες
...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 -i^-,...

Nelson's Common-school Arithmetic: Designed for the Use of the Lowest as ...

Richard Nelson - 1867 - 304 σελίδες
...ratio between the two terms. ^=3 : 12. . PRINCIPLES OF FRACTIONS. 197. If both terms of a fraction be multiplied by the same number, the value of the fraction will remain unaltered. Let the 1 and 4 of the fraction J be multiplied by 2, and we have |-, a fraction...

The Analysis of Intellectual Arithmetic: With Mental and Blackboard ...

Stoddard A. Felter - 1868 - 238 σελίδες
...called? 7 parts? 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....

The Grammar-school Arithmetic: Being Book Second of the Analysis of Written ...

Stoddard A. Felter - 1868 - 360 σελίδες
...4 j- is a dividend, and the denominator 8 is a divisor, according to the Principle (-138., 6., I.) if both numerator and denominator be multiplied by the same number the quotient will not be changed, it follows that li =!*>< »=?? or 1»; therefore, 11 =«. 8 8 x 7 66...

Robinson's Progressive Intellectual Arithmetic: On the Inductive Plan ...

Horatio Nelson Robinson - 1863 - 192 σελίδες
...number, the value of the fraction will not be changed. 6. If both numerator and denominator he divided by the same number the value of the fraction will not be changed. 48. 1. James has -| of a dollar, John % of a dollar, and George | of a dollar ; how many fifths...

Common School Arithmetic on the Analytic System: With an Appendix of the ...

Shelton Palmer Sanford - 1872 - 404 σελίδες
...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 number of...

The Analysis of Intellectual Arithmetic ...

Stoddard A. Felter - 1872 - 222 σελίδες
...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....

Robinson's Progressive Intellectual Arithmetic: On the Inductive Plan ...

Horatio Nelson Robinson - 1875 - 180 σελίδες
...number, the value of the fraction will be multiplied as many times as there are «nits in the divisor. 6. If both numerator and denominator be multiplied by...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...




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