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Multiplying or dividing both terms of a fraction by the same number does not change the value of the fraction.
The Model Mental Arithmetic: Containing Oral Exercises for Graded and ... - Σελίδα 79
των Edgar Arthur Singer - 1876 - 184 σελίδες
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A system of arithmetic

...integer may be considered a fraction whose denominator is 1 ; thus, <,-';. 2. Multiplying or dividing both terms of a fraction by the same number, does not change its value. REDUCTION OF VULGAR FRACTIONS. I. To reduce a mixed number to an equivalent improper fraction....

A New Practical and Theoretical Arithemtic: In Which, in Addition to the ...

Horatio Nelson Robinson - 1845 - 288 σελίδες
...denominator must be based on the principle that, numerators and denominators multiplied or divided by the same number, does not change the value of the fraction. On this principle, we may understand the following rule, which is universal in its application : RULE....

Stoddard's Practical Arithmetic

John Fair Stoddard - 1852 - 299 σελίδες
...inspecting propositions 2 and 4, we deduce PROPOSITION 6. — Dividing both numerator and denominator of any fraction by the same number, does not change, the value of the fraction. QUESTIONS. ART. VI, Repeat proposition 1. Why is this so 7 Repeat proposition 2. Why is this so 7 Repeat...

An Introduction to Arithmetic: Containing the Most Useful Rules in Common ...

James Gray - 1854 - 108 σελίδες
...Any whole number may be expressed like a fraction, by writing 1 under it. 2. Multiplying or dividing both terms of a fraction by the same number does not change its value. REDUCTION OF VULGAR FRACTIONS. PROB. l. To reduce a fraction to its lowest terms. RULE....

The American Philosophical Arithmetic: Designed for the Use of Advanced ...

John Fair Stoddard - 1856 - 292 σελίδες
...inspecting proposition 2 and 4, we deduce PROPOSITION 6. — Dividing both numerator and denominator of any fraction by the same number, does not change the value of the fraction. MULTIPLICATION OF FRACTIONS BY INTEGERS. ART. 117. According to propositions 1st and 2d, to to multiply...

A Treatise on Arithmetic, Combining Analysis and Synthesis: Adapted to the ...

James Stewart Eaton - 1857 - 355 σελίδες
...only ; thus, the expression .23 may be read ft and -,-\$^, or it may be read ft^, for ft and T\$5 14O. Since multiplying both terms of a fraction by the same number does not alter its value (133, a, Note 1), annexing one or more ciphers to a decimal does not affect its value...

The Mathematical Monthly, Τόμος 2

1860
...Fractions to a Common Denominator. — After the pupil has thoroughly learned that multiplying or dividing both terms of a fraction by the same number does not change its value, he is then prepared to learn how to reduce fractions to a common denominator. The following...

The Common School Arithmetic: Combining Analysis and Synthesis; Adapted to ...

James Stewart Eaton - 1862
...three million, five hundred and seventy-eight thousand, six hundred and ninetytwo ten-millionths. 164.. Since multiplying both terms of a fraction by the same number does not alter its value (Art. 147, a, Note 1), annexing one or more ciphers to a decimal does not affect its...

The Normal Written Arithmetic: By Analysis and Synthesis, Designed for ...

Edward Brooks - 1863 - 337 σελίδες
...fraction will be 4 times as great. Therefore, etc. PROP. V. — Multiplying Loth numerator and denominator of a fraction by the same number does not change the value of the fraction. DEM. — Since multiplying the numerator multiplies the value of the fraction, and multiplying the...

The Common School Arithmetic: Combining Analysis and Synthesis; Adapted to ...

James Stewart Eaton - 1864 - 312 σελίδες
...read, three million, five hundred and seventy-eight thousand, six hundred and ninetytwo ten-millionths. Since multiplying both terms of a fraction by the same number does not alter its value (Art. 147, a, Note 1), annexing one or more ciphers to a decimal does not affect its...