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" The ratio between two numbers is simply their numerical relationship expressed as the quotient of the first divided by the second. Thus the ratio of 6 to 3 is 2 ; of 1.2 to 3 is .4; of 4 to 5 is .8, etc. "
An Elementary Intellectual Arithmetic: Containing Numerous Original ... - Page 105
by Daniel Leach - 1855 - 160 pages
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The Prussian Calculator: By which All Business Calculations are Performed by ...

Isaac A. Clark - Arithmetic - 1846 - 218 pages
...30 miles are to 55 miles. § Quantities which have the same ratio are said to be in proportion. § The ratio of two numbers is the quotient of the first divided by the second. Thus, in the first example, the ratio of 4 to 7 is £, and of 12 to the answer is £^-. § Ratio is usually...
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A Theoretical and Practical Arithmetic: Designed for Common Schools and ...

Daniel Leach - Arithmetic - 1851 - 280 pages
...respect to magnitude. 214. The ratio of two numbers is the quotient resulting from dividing the first by the second. Thus the ratio of 12 to 4 is 3 ; the ratio of 30 to 5 is 6 ; since 12 divided by 4 is -/-— 3, and 30 divided by 5 is -35a~6. 215....
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A Theoretical and Practical Arithmetic: Designed for Common Schools and ...

Daniel Leach - Arithmetic - 1853 - 622 pages
...respect to magnitude. 214. The ratio of two numbers is the quotient resulting from dividing the first by the second.? Thus the ratio of 12 to 4 is 3 ; the ratio of 30 to 5 is 6 ; since 12 divided by 4 is -^-=3, and 30 divided by 5 is ^=6. 215. The...
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Algebra for High Schools and Colleges: Containing a Systematic Exposition ...

James B. Dodd - Algebra - 1859 - 368 pages
...oo Direct and Inverse Ratio. (130.) The direct ratio of the first of two quantities to the second, is the quotient of the first divided by the second ; thus the direct ratio of 3 to 5 is f . The inverse ratio of the first quantity to the second, is the direct...
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An Elementary Course of Plane Geometry

Richard Wormell - Geometry, Modern - 1868 - 286 pages
...that the four numbers are in proportion, or that they form a proportion. We have already said that the ratio of two numbers is the quotient of the first divided by the second. Thus the ratio of two numbers, 56 and 7, being equal to the ratio of 48 and 6, since the quotient obtained by dividing...
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An Elementary Course of Plane Geometry

Richard Wormell - Geometry, Plane - 1870 - 304 pages
...that the four numbers are in proportion, or that they form a proportion. We have already said that the ratio of two numbers is the quotient of the first divided by the second. Thus the ratio of two numbers, 56 and 7, being equal to the ratio of 48 and 6, since the quotient obtained by dividing...
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The Complete Arithmetic: Oral and Written

Daniel W. Fish - Arithmetic - 1874 - 540 pages
...values: DEFINITIONS. 742. Ratio is the relation between two numbers of the same unit value, expressed by the quotient of the first divided by the second. Thus the ratio of 12 to 4 is 12 -4- 4 = 3. 743. The Sign of ratio is the colon (:), or the sign of division with the line omitted....
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The Complete Arithmetic, Oral and Written: Second Part

Daniel W. Fish - Arithmetic - 1874 - 302 pages
...values. DEFINITIONS. 742. Ratio is the relation between two numbers of the same unit value, expressed by the quotient of the first divided by the second. Thus the ratio of 12 to 4 is 12-v-4 = 3. 743. The Sign of ratio is the colon ( : ), or the sign of division with the line omitted....
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Modern geometry [ed.] with an appendix by W.B. Jack

Richard Wormell - 1876 - 268 pages
...that the four numbers are proportionals, or that they form a proportion. We have already stated that the ratio of two numbers is the quotient of the first divided by the second ; and because the ratio of two numbers, 56 and 7, is equal to the ratio of 48 and 6 ; the quotient...
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Elements of Geometry, Conic Sections, and Plane Trigonometry

Elias Loomis - Conic sections - 1880 - 452 pages
...measure of that quantity. 2. jRcttio is that relation between two quantities which is expressed by the quotient of the first divided by the second. Thus the ratio of 12 to 4 is — . The ratio of A to B is ^. The two 4 Ji quantities compared together are called the terms of the...
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