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\frac{1}{2}\times 374.5=187.25
Add 354.5 and 20 to get 374.5.
\frac{1}{2}\times \frac{749}{2}=187.25
Convert decimal number 374.5 to fraction \frac{3745}{10}. Reduce the fraction \frac{3745}{10} to lowest terms by extracting and canceling out 5.
\frac{1\times 749}{2\times 2}=187.25
Multiply \frac{1}{2} times \frac{749}{2} by multiplying numerator times numerator and denominator times denominator.
\frac{749}{4}=187.25
Do the multiplications in the fraction \frac{1\times 749}{2\times 2}.
\frac{749}{4}=\frac{749}{4}
Convert decimal number 187.25 to fraction \frac{18725}{100}. Reduce the fraction \frac{18725}{100} to lowest terms by extracting and canceling out 25.
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Compare \frac{749}{4} and \frac{749}{4}.
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{ x } ^ { 2 } - 4 x - 5 = 0
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4 \sin \theta \cos \theta = 2 \sin \theta
Linear equation
y = 3x + 4
Arithmetic
699 * 533
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}