AlgMap-2.5 (corrected teaching copy) Reduce the following fraction to its lowest terms: \[\frac{@ev(a*c,simp)@}{@ev(b*c,simp)@}.\]
[[input:ans]] [[validation:ans]]

]]> Factorise the numerator and the denominator into prime factors, then cancel matching factors. In this example:
\[ \frac{@factor(a*c)@}{@factor(b*c)@} = {@ta@}. \]

]]> 1 0.1 0 a:ev((rand([1,3,5,7,9])*rand([1,-1])),simp); b:ev((rand([2,4,6,8,10])*rand([1,-1])),simp); c:ev(rand(5)+2,simp); ta:ev((a*c)/(b*c),simp); [[feedback:prt1]]

]]> \[\frac{@ev(a*c,simp)@}{@ev(b*c,simp)@} = {@ta@}.\] 0 0 0 *10 dot 1 i cos-1 lang [ 0 {"author":[{"firstName":"Tony","lastName":"Barnard","institution":"","year":"1999"}],"language":["en"],"isPartOf":"STACK Library - Algebra Refresher","license":"cc-sa-4.0","additional":{"UoE":{"Notes":"This is automatically generated metadata."}},"freeform":{}} ans algebraic ta 15 1 0 0 1 0 1 1 1 prt1 1.0000000 0 1 0 AlgEquivansta 0 =0 11-0-T =0 -11-0-F The fraction must have the same value as the original fraction.

]]> 1 LowestTermsansta 0 =1 -11-1-T =0 -11-1-F The value is correct; now cancel common factors.

]]> 554625703 2004313867 1257826844 533970977 1878644045 1 ans ta prt1 1.0000000 0.0000000 1-0-T | 1-1-T 2 ans (ev(a*c,simp))/(ev(b*c,simp)) prt1 0.0000000 0.1000000 1-0-T | 1-1-F 3Wrong value in lowest terms ans123/127 prt100.11-0-F