( 1 - 20 \% ) ( 1 + 20 \% ) a =
Evaluate
\frac{24a}{25}
Expand
\frac{24a}{25}
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\left(1-\frac{1}{5}\right)\left(1+\frac{20}{100}\right)a
Reduce the fraction \frac{20}{100} to lowest terms by extracting and canceling out 20.
\left(\frac{5}{5}-\frac{1}{5}\right)\left(1+\frac{20}{100}\right)a
Convert 1 to fraction \frac{5}{5}.
\frac{5-1}{5}\left(1+\frac{20}{100}\right)a
Since \frac{5}{5} and \frac{1}{5} have the same denominator, subtract them by subtracting their numerators.
\frac{4}{5}\left(1+\frac{20}{100}\right)a
Subtract 1 from 5 to get 4.
\frac{4}{5}\left(1+\frac{1}{5}\right)a
Reduce the fraction \frac{20}{100} to lowest terms by extracting and canceling out 20.
\frac{4}{5}\left(\frac{5}{5}+\frac{1}{5}\right)a
Convert 1 to fraction \frac{5}{5}.
\frac{4}{5}\times \frac{5+1}{5}a
Since \frac{5}{5} and \frac{1}{5} have the same denominator, add them by adding their numerators.
\frac{4}{5}\times \frac{6}{5}a
Add 5 and 1 to get 6.
\frac{4\times 6}{5\times 5}a
Multiply \frac{4}{5} times \frac{6}{5} by multiplying numerator times numerator and denominator times denominator.
\frac{24}{25}a
Do the multiplications in the fraction \frac{4\times 6}{5\times 5}.
\left(1-\frac{1}{5}\right)\left(1+\frac{20}{100}\right)a
Reduce the fraction \frac{20}{100} to lowest terms by extracting and canceling out 20.
\left(\frac{5}{5}-\frac{1}{5}\right)\left(1+\frac{20}{100}\right)a
Convert 1 to fraction \frac{5}{5}.
\frac{5-1}{5}\left(1+\frac{20}{100}\right)a
Since \frac{5}{5} and \frac{1}{5} have the same denominator, subtract them by subtracting their numerators.
\frac{4}{5}\left(1+\frac{20}{100}\right)a
Subtract 1 from 5 to get 4.
\frac{4}{5}\left(1+\frac{1}{5}\right)a
Reduce the fraction \frac{20}{100} to lowest terms by extracting and canceling out 20.
\frac{4}{5}\left(\frac{5}{5}+\frac{1}{5}\right)a
Convert 1 to fraction \frac{5}{5}.
\frac{4}{5}\times \frac{5+1}{5}a
Since \frac{5}{5} and \frac{1}{5} have the same denominator, add them by adding their numerators.
\frac{4}{5}\times \frac{6}{5}a
Add 5 and 1 to get 6.
\frac{4\times 6}{5\times 5}a
Multiply \frac{4}{5} times \frac{6}{5} by multiplying numerator times numerator and denominator times denominator.
\frac{24}{25}a
Do the multiplications in the fraction \frac{4\times 6}{5\times 5}.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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4 \sin \theta \cos \theta = 2 \sin \theta
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y = 3x + 4
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\left[ \begin{array} { l l } { 2 } & { 3 } \\ { 5 } & { 4 } \end{array} \right] \left[ \begin{array} { l l l } { 2 } & { 0 } & { 3 } \\ { -1 } & { 1 } & { 5 } \end{array} \right]
Simultaneous equation
\left. \begin{cases} { 8x+2y = 46 } \\ { 7x+3y = 47 } \end{cases} \right.
Differentiation
\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Integration
\int _ { 0 } ^ { 1 } x e ^ { - x ^ { 2 } } d x
Limits
\lim _{x \rightarrow-3} \frac{x^{2}-9}{x^{2}+2 x-3}