Order of calculations

[list][*]Remove brackets[/*][br][*]Multiplying and dividing from left to right[/*][br][*]Summation and subtraction from left to right[/*][/list][br][size=100][color=#0000ff][b][u]Example:[/u][/b] [/color][color=#000000][math]\LARGE 2\cdot [16-(5+1)\cdot 2]=2\cdot(16-6\cdot 2)=2\cdot (16-12)=2\cdot 4 =8[/math][/color][/size][br] [br]
Formulas for fractions
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[color=#0000ff]Summation of Fractions:  [/color] [br][list][*]Fractions of unequal denominators must be expanded to create a common denominators.[/*][br][*]The resultant numerator will be  addition / subtraction of numerators. [/*][br][*]The denominator will be the common denominator:        [/*][br][/list][color=#0000ff][b][u]Example:[br][br][/u][/b][/color][math]\LARGE\frac{2}{3}-\frac{1}{4}= \frac{^{4)}2}{3}-\frac{^{3)}1}{4}=\frac{4\cdot 2}{4\cdot 3}-\frac{3\cdot 1}{3\cdot 4} =\frac{8}{12}-\frac{3}{12}=\frac{8-3}{12}=\frac{5}{12}[/math][br][br] [br][color=#0000ff]Multiplication of Fractions:[/color] [br][list][*]The numerator of the result is the product of the numerators.[/*][*]The denominator of the result is the product of the denominators.[/*][/list][br]  [math]\LARGE \frac{4}{5}\cdot\frac{7}{8}=\frac{4\cdot 7}{5\cdot 8}=\frac{28^{(4)}}{40}=\frac{7}{10}[/math][br]         [br][br] [br][color=#0000ff]Dividing of Fractions:[/color] [br][list][*]Multiplicand (second fraction) is inverted.[/*][*]Thereafter, fractions are multiplied. [/*][/list][br] [math]\Large\begin{eqnarray}A1:&&\frac{4}{15}\div\frac{5}{6}=\frac{4}{15}\cdot\frac{6}{5}=\frac{4\cdot 6^{(3}}{15\cdot 5}=\frac{4\cdot 2}{5\cdot 5}=\frac{8}{25}\\[br]&&\\[br]A2:&&\frac{4}{15}\div\frac{5}{6}=\frac{\frac{4}{15}}{\frac{5}{6}}=\frac{4\cdot 6^{(3}}{15\cdot 5}=\frac{4\cdot 2}{5\cdot 5}=\frac{8}{25}[br]\end{eqnarray}[/math][br]          [br]  

Information: Order of calculations