| Wales Christopher Hotson - 1842 - 306 pages
...i_*-V.*2_f_ = 1+* 1 (6) 1-: MULTIPLICATION AND DIVISION OF FRACTIONS. 75. To multiply fractions, multiply **the numerators for a new numerator, and the denominators for a new denominator.** For, let j- and 3 be two given fractions, and suppose then a=^bx and c=dy, whence ac=bdxy, ,...,.,,,... | |
| Alonzo Potter - Education - 1842 - 586 pages
...represented on the blackboard thus: fX4=4f S ani* ^e may te macle to observe that he has multiplied **the numerators for a new numerator, and the denominators for a new** denommator. In this manner he will find that all the rules or principles of fractions are contained... | |
| William Smyth - Algebra - 1851 - 272 pages
...above is sufficient for the purposes of this treatise. 5. MULTIPLICATION OF FRACTIONS. RTTLE. Multiply **the numerators for a new numerator and the denominators for a new denominator.** In the examples under this and the following rules, the results given by the rule are reduced to their... | |
| William Frederick Greenfield - 1853 - 228 pages
...numerator and denominator to the required power. For the product of fractions is obtained by multiplying **the numerators for a new numerator, and the denominators for a new denominator.** When therefore all the numerators are the same, and all the denominators, the numerator and denominator... | |
| Horatio Nelson Robinson - Arithmetic - 1859 - 352 pages
...fractions, we have this general RULE. I. Reduce all integers and mixed numbers to improper fractions. II. **Multiply together the numerators for a new numerator,...and the denominators for a new denominator. NoTE.** Cancel all factors common to numerators and denominators. EXAMPLES FOR PRACTICE. 2. Multiply f by f.... | |
| Philip Kelland - 1860 - 308 pages
...Sx'-x+l 3a;" + a;+l x-2-J . x' + 2x°-x+lx + 2x' + 1 MULTIPLICATION. 77. PROP. — To multiply fractions: **Multiply together the numerators for a new numerator, and the denominators for a new denominator.** Let - and - be the fractions, then bd £?x- = — 2< d bd For | x 6 = a (Def ) b -xd = a (De£) d .-.... | |
| Horatio Nelson Robinson - Arithmetic - 1860 - 444 pages
...derive the following general RULE. I. Reduce all integers and mixed numbers to improper fractions. II. **Multiply together the numerators for a new numerator, and the denominators for a new denominator.** NOTES. — 1. Cancel nil factors common to numerators anil denominators. 2. If a fraction be multiplied... | |
| Isaac Todhunter - 1860 - 622 pages
...+ b') a'-b' -a'+2ab-b' ±ab 141. The rule for the multiplication of two fractions is, — multiply **the numerators for a new numerator, and the denominators for a new denominator.** The following is usually given for a proof. Let j- and -3 be oa two fractions which are to be multiplied... | |
| W H. Wingate - 1865 - 150 pages
...making 1 the denominator ; then place them in a line with a multiplication sign between them. Multiply **the numerators for a new numerator and the denominators for a new denominator.** If any of the numerators and denominators have common factors, divide them by such factors, remembering... | |
| Francis Walkingame - 1865 - 222 pages
...VULGAE FEACTIONS. EULE. — Invert the division, and then, (proceeding as in Multiplication), multiply **the numerators for a new numerator. and the denominators for a new denominator.** EXAMPLE 1. — Divido ^ by í. _7_ _...!_ .7- A - I. - 1 4 EXAMPLE 2. — Divide £ by f . OOQK -IK... | |
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