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\frac{3}{8}\times \frac{1}{4}+\frac{1}{4}\times \frac{5}{8}-\frac{1}{4}
Convert decimal number 0.25 to fraction \frac{25}{100}. Reduce the fraction \frac{25}{100} to lowest terms by extracting and canceling out 25.
\frac{3\times 1}{8\times 4}+\frac{1}{4}\times \frac{5}{8}-\frac{1}{4}
Multiply \frac{3}{8} times \frac{1}{4} by multiplying numerator times numerator and denominator times denominator.
\frac{3}{32}+\frac{1}{4}\times \frac{5}{8}-\frac{1}{4}
Do the multiplications in the fraction \frac{3\times 1}{8\times 4}.
\frac{3}{32}+\frac{1\times 5}{4\times 8}-\frac{1}{4}
Multiply \frac{1}{4} times \frac{5}{8} by multiplying numerator times numerator and denominator times denominator.
\frac{3}{32}+\frac{5}{32}-\frac{1}{4}
Do the multiplications in the fraction \frac{1\times 5}{4\times 8}.
\frac{3+5}{32}-\frac{1}{4}
Since \frac{3}{32} and \frac{5}{32} have the same denominator, add them by adding their numerators.
\frac{8}{32}-\frac{1}{4}
Add 3 and 5 to get 8.
\frac{1}{4}-\frac{1}{4}
Reduce the fraction \frac{8}{32} to lowest terms by extracting and canceling out 8.
0
Subtract \frac{1}{4} from \frac{1}{4} to get 0.
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{ x } ^ { 2 } - 4 x - 5 = 0
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y = 3x + 4
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Matrix
\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}