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Algebra Difficulty 1.6 Junior Find the answer

In some computer languages (such as APL), when there are no parentheses in an algebraic expression, the operations are grouped from right to left. Thus, a×bca\times b-c in such languages means the same as a(bc)a(b-c) in ordinary algebraic notation. If a÷bc+da\div b-c+d is evaluated in such a language, the result in ordinary algebraic notation would be
(A) abc+d\mathrm{(A)\ } \frac{a}{b}-c+d(B) abcd\mathrm{(B) \ }\frac{a}{b}-c-d(C) d+cba\mathrm{(C) \ } \frac{d+c-b}{a}(D) abc+d\mathrm{(D) \ } \frac{a}{b-c+d}(E) abcd\mathrm{(E) \ }\frac{a}{b-c-d}

Multiple choice: answer with the letter of the option you want.

Solution

The expression would be grouped as a÷(b(c+d))a\div(b-(c+d)). This is equal to abcd,E\frac{a}{b-c-d}, \boxed{\text{E}}.

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Source: NuminaMath-1.5, licensed Apache-2.0. Statement and solution reproduced as published; topic and difficulty added by this site.