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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. "
Complete Arithmetic: Or Third Book of a Series of Mathematics - Σελίδα 45
των Andrew H. Baker - 1878 - 193 σελίδες
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Durell's Algebra: Two Book Course. Book One, Βιβλίο 1

Fletcher Durell - 1914 - 458 σελίδες
...—, and the sign of -^-^ is + understood. о о GENERAL PRINCIPLES 114. A. If the numerator and the denominator of a fraction are both multiplied or divided by the same quantity, the value of the fraction is not changed. For if a dividend is denoted by D, its divisor...

Durell's Algebra ...

Fletcher Durell - 1915 - 426 σελίδες
...III REVIEW EXERCISES IN FRACTIONS; FRACTIONAL EQUATIONS 11. Important Properties of Fractions. (1) If the numerator and denominator of a fraction are both multiplied or divided by the same quantity, the value of the fraction is not changed. (2) The signs of any even number of factors of...

Agricultural Arithmetic

George Clinton Shutts, Wilbert Walter Weir - 1916 - 282 σελίδες
...that in other quantities, but the meaning is the same.* Principle HI. // both terms of a fraction are multiplied or divided by the same number, the value of the fraction is not changed. This is apparent by application of Principles I and II, for to multiply both terms of a fraction by...

Elementary Algebra

Elmer Adelbert Lyman, Albertus Darnell - 1917 - 520 σελίδες
...particular we now assume the following principle : If the numerator and the denominator of a fraction are divided by the same number, the value of the fraction is not changed. 264. Lowest Terms of a Fraction. A fraction is in its lowest terms if the numerator and denominator...

Efficiency Arithmetic: Advanced, Βιβλίο 3

Charles Ernest Chadsey, James Hamblin Smith - 1917 - 326 σελίδες
...following: PRINCIPLE: When the numerator and denominator of a fraction are both multiplied by or both divided by the same number, the value of the fraction is not changed. When the numerator and denominator of a fraction are both divided by the same number, the fraction...

Elementary Algebra with a Table of Logarithms

Julius Lederer Neufeld - 1920 - 412 σελίδες
...multiplied or, divided by the same number without altering the value of the quotient, therefore // the numerator and denominator of a fraction are both...the same number, the value of the fraction is not altered. • REDUCTION OF FRACTIONS TO THEIR LOWEST TERMS 73. A fraction is in its lowest terms, when...

High School Algebra Complete

Marquis Joseph Newell - 1920 - 424 σελίδες
...process rests on the assumption of the following axiom : Axiom VI. // both terms of a fraction are multiplied .or divided by the same number, the value of the fraction is not changed. Rule. To simplify an algebraic fraction, divide both terms Ъу their HCF Exercise 56 Simplify the...

The New Methods in Arithmetic

Edward Lee Thorndike - 1921 - 278 σελίδες
...multiplied by the same number, the value of the fraction is not changed. If both terms of a fraction are divided by the same number, the value of the fraction is not changed. To multiply by a fraction, multiply by its numerator and divide by its denominator. To divide by any...

Junior High School Mathematics, Βιβλίο 3

Walter Wilson Hart - 1923 - 444 σελίδες
...^-, therefore, is not changed. Rule. — If the numerator and the denominator of a fraction are both divided by the same number, the value of the fraction is not changed. Example 1. — Reduce = % to lowest terms. 6 ax2 - 12 axy + 6 ay2 Solution - 1 3 aV - 3 a V = 3 a2(x2...

Business Arithmetic

George Washington Miner, Fayette Herbert Elwell, Frank Charles Touton - 1923 - 424 σελίδες
...7487.624+125. 10. 55.496 + 876. 12. 20.62-802. Dividing by decimals. If both terms of a fraction are multiplied by the same number, the value of the fraction is not changed. Similarly, if both the divisor and the number to be divided are multiplied by the same number, the...




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