Evaluate
48.8
Factor
\frac{61 \cdot 2 ^ {2}}{5} = 48\frac{4}{5} = 48.8
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51.1-\frac{8.51}{3.7}
Multiply 36.5 and 1.4 to get 51.1.
51.1-\frac{851}{370}
Expand \frac{8.51}{3.7} by multiplying both numerator and the denominator by 100.
51.1-\frac{23}{10}
Reduce the fraction \frac{851}{370} to lowest terms by extracting and canceling out 37.
\frac{511}{10}-\frac{23}{10}
Convert decimal number 51.1 to fraction \frac{511}{10}.
\frac{511-23}{10}
Since \frac{511}{10} and \frac{23}{10} have the same denominator, subtract them by subtracting their numerators.
\frac{488}{10}
Subtract 23 from 511 to get 488.
\frac{244}{5}
Reduce the fraction \frac{488}{10} to lowest terms by extracting and canceling out 2.
Examples
Quadratic equation
{ x } ^ { 2 } - 4 x - 5 = 0
Trigonometry
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}