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" Prom' the very process of dividing each of the parts, that is, of increasing the denominators by multiplying them, it follows, that each denominator must be & factor of the common denominator ; now, multiplying all the denominators together will evidently... "
Adams's New Arithmetic: Arithmetic, in which the Principles of Operating by ... - Σελίδα 95
των Daniel Adams - 1810 - 180 σελίδες
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Ray's Algebra, Part Second: An Analytical Treatise, Designed for ..., Μέρος 2

Joseph Ray - 1857 - 408 σελίδες
...3. 2 xx 4. _ J5L. Aw. J* . 0+i a-\-b v' ~' 5. x-\-y-\- y ... Ans. x— y x— y Ans — CASE IV. — To REDUCE FRACTIONS OF DIFFERENT DENOMINATORS - TO EQUIVALENT FRACTIONS HAVING A COMMON DENOMINATOR. ART. 125. 1 . Let it be required to reduce — ,-, and?., to a common denominator. '"' " ' It is evident...

Mathematics for Practical Men: Being a Common-place Book of Principles ...

Olinthus Gregory - 1863 - 482 σελίδες
...dividing both terms of this fraction by 8, there results | for the simple fraction required. Case 5. — To reduce fractions of different denominators to equivalent fractions having a common denominator. Multiply each numerator into all the denominators except its own. for new numerators ; and all the...

New Elementary Algebra: in which the First Principles of Analysis are ...

Benjamin Greenleaf - 1863 - 338 σελίδες
...6 — - - ° ,'' to the form of a 1 a -)- Z, ,. .. , fraction. Ans. — ¡—тa-\-b CASE IV. 128, To reduce fractions of different denominators to equivalent fractions having a common denominator. Fractions are said to have a common denominator when they have the same quantity for a denominator....

Ray's Algebra, First Book: Primary Elements of Algebra, for Common ..., Βιβλίο 1

Joseph Ray - 1866 - 252 σελίδες
...8+5c 6. . 5c— 45 Ans 10 8 a2+x2— 5 o— xi . . . . 2a2— 5 . . . . . Ans. — : — 11. CASE IV. TO REDUCE FRACTIONS OF DIFFERENT DENOMINATORS TO EQUIVALENT FRACTIONS HAVING A COMMON DENOMINATOR. 199, — 1. Reduce r and -. to a common denominator. bd Multiply both terms of the first fraction by...

New Elementary Algebra: Designed for the Use of High Schools and Academies

Benjamin Greenleaf - 1879 - 322 σελίδες
...-4- 4 -- — — to the form of a a -|- 4 , .. 4a?• fraction. . Ans. — .— vof b CASE IV. 128. To reduce fractions of- different denominators to equivalent fractions having a common denominator. Fractions are said to have a COMMON DENOMINATOR when they have the same quantity for a denominator....

Ray's Algebra, Part First: On the Analytic and Inductive Methods of ..., Μέρος 1

Joseph Ray - 1848 - 248 σελίδες
...a-\-x ._ ,, , ..... «N-*4 2x4 17. a2— a2z4or'— z' -- — ......... Ans. -- . a+x a+x CASE IV; TO REDUCE FRACTIONS OF DIFFERENT DENOMINATORS TO EQUIVALENT FRACTIONS, HAVING A COMMON DENOMINATOR. ART. 133> — 1. Reduce r and - to a common denominator. oo If we multiply both terms of the first...

Practical Arithmetic, by Induction and Analysis

Joseph Ray - 1857 - 340 σελίδες
...SIMPLE FRACTIONS, For method of reducing complex to simple fractions, see page 167. CASE V. ART. 144. To reduce fractions of different denominators to equivalent fractions having a common denominator. 1. Reduce J, f, and | to a common denominator. SOLUTION. — The value of a OPERATION. fraction not...

Ray's Algebra, Part First: On the Analytic and Inductive Methods of ..., Μέρος 1

Joseph Ray - 1848 - 252 σελίδες
...a-\-x a-\-x ,~ :: , . , , 17. «'— a?x+ax*— z* --- l — ......... Ans. ---- . a+x a-\-x CASE IV. TO REDUCE FRACTIONS OF DIFFERENT DENOMINATORS TO EQUIVALENT FRACTIONS, HAVING A COMMON DENOMINATOR. O/ C ART. 133.— 1. Reduce T and - to a common denominator. 6 d If we multiply both terms of the first...

Ray's Algebra, Part First: On the Analytic and Inductive Methods of ..., Μέρος 1

Joseph Ray - 1848 - 260 σελίδες
...the fraction, and one of its terms ? 4y I • •••••••• AUB. . a+x a+x CASH IT. «O REDUCE FRACTIONS OF DIFFERENT DENOMINATORS TO EQUIVALENT FRACTIONS, HAVING A COMMON DENOMINATOR. AST. 133. — 1. Reduce r and 3 to a common denominator. 6 a If we multiply both terms of the first...




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