单词 | to reduce to its lowest terms |
释义 | > as lemmasto reduce to its lowest terms (b) lowest (also †least) terms (chiefly in phrases to reduce to its lowest terms, in its lowest terms, etc.): the form of a fraction or ratio in which the constituent terms have no common factor other than 1; (also figurative) the most basic or fundamental level or interpretation. ΚΠ 1570 J. Dee in H. Billingsley tr. Euclid Elements Geom. xii. sig. GGg.ij Therefore FG is to A, as 6, to 4: which in the least termes, is, as 3 to 2. 1624 H. Wotton Elements Archit. i. 58 The sides of a Rectangular Triangle, which the Ancient Schoole did expresse in lowest tearmes, by the numbers of 3. 4. and 5. a1690 S. Jeake Λογιστικηλογία (1696) 48 The new Fraction..will not be in its least terms, unless such Heterologal terms be first abbreviated to their lowest. 1730 W. Webster tr. P. Hoste Compend. Course Pract. Math. I. xiii. 143 To reduce a fraction into its lowest terms. 1836 A. Turnbull Arithm. made Easy ix. 113 In such cases it is better to divide the terms at once, as it would require considerable calculation to find the least terms by the process pointed out above. 1887 Amer. Jrnl. Math. 9 215 It is assumed that the fraction U ÷ V is in its least terms. 1956 P. A. Jorgensen Shakespeare's Mil. World (1973) vi. 263 Reduced to its lowest terms, his behavior resembles that of the rude, graceless soldier type. 2008 R. Wingard-Nelson Decimals & Fractions iii. 11 Factors help you write equivalent fractions and reduce fractions to lowest terms. 2010 Bull. Symbolic Logic 16 365 Notice that a rational number n/m has a well-defined integer value modulo 7 so long as the denominator m is not divisible by 7 when expressed in least terms. < as lemmas |
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