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Why does cross multiplying work?
For the equation A/B = C/D. Multiply both sides by B: A*B/B = C*B/D, then multiply both sides by D: A*B*D/B = C*B*D/D, then simplify (the B's cancel and the D's cancel): A*D = C*B
If A over B equals C over D what does B equals?
As A/B=C/D , So B=(A*D)/C
Simplify this expression 13 -12--5 a -6 b -30 c 6 d 30?
30.. B
Is addition distributive over multiplication?
No. But multiplication is distributive over addition. This means that for any numbers A, B, and C A x (B + C) = (A x B) + (A x C). If addition were distributive over multiplication, that would mean that A + (B x C) = (A + B) x (A + C) which is not true.
Is a over b over c equal to ac over b?
No. Assuming no parentheses, a/b/c = (a/b)/c = a/bc. For example, 1/2/3 = (1/2)/3 = 1/6. If there are parentheses for the last 2 terms, such as a/(b/c), then it is ac/b. Similarly, if you see it written out as a complex fraction with the a on the top half and the b/c in the bottom half, then it is the same as ac/b.
