AlgMap-4.1 Write the following expression as a single fraction in it's simplest form:
\[{@ev(a/b,simp)@}\cdot{@ev(c,simp)@}.\]
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]]> Note that: \[{\frac{a}{b}} \cdot {c}=\frac{{a} \cdot {c}}{b}.\] Therefore in this example: \[{@ev(a/b,simp)@}\cdot{@c@}=\frac{@ev(a*c,simp)@}{@b@}.\] Don't forget to simplify your fraction as well by removing common factors from the numerator and denominator. So: \[{@ev((a*c)/b,simp)@}.\]

]]> 1 0.1 0 a:ev(rand(12)+1,simp); b:ev(a+rand(12)+1,simp); c:ev(rand(11)+2,simp); ta:ev((a/b)*c,simp); [[feedback:prt1]]

]]> \[{@ev(a/b,simp)@}\cdot{@ev(c,simp)@} = {@ta@}. \] 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 EqualComAss ans ta 0 = 1.0000000 -1 1-0-T = 0.0000000 1 1-0-F 1 AlgEquiv ans ta 0 = 0.0000000 -1 1-1-T Your answer is algebraically equivalent to \(\frac{@a@}{@b@}*{@c@}\) but isn't fully simplified.

]]> = 0.0000000 -1 1-1-F 167731690 482559703 774333379 1249864586 663131026 1810138514 568263847 2045593680 1 ans ta prt1 1.0000000 0.0000000 1-0-T 2 ans (a/b)*c prt1 0.0000000 0.1000000 1-1-T