Evaluate
12.5
Factor
\frac{5 ^ {2}}{2} = 12\frac{1}{2} = 12.5
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\frac{38}{5}\times \frac{5}{4}+2.4\times 1.25
Convert decimal number 7.6 to fraction \frac{76}{10}. Reduce the fraction \frac{76}{10} to lowest terms by extracting and canceling out 2.
\frac{38\times 5}{5\times 4}+2.4\times 1.25
Multiply \frac{38}{5} times \frac{5}{4} by multiplying numerator times numerator and denominator times denominator.
\frac{38}{4}+2.4\times 1.25
Cancel out 5 in both numerator and denominator.
\frac{19}{2}+2.4\times 1.25
Reduce the fraction \frac{38}{4} to lowest terms by extracting and canceling out 2.
\frac{19}{2}+3
Multiply 2.4 and 1.25 to get 3.
\frac{19}{2}+\frac{6}{2}
Convert 3 to fraction \frac{6}{2}.
\frac{19+6}{2}
Since \frac{19}{2} and \frac{6}{2} have the same denominator, add them by adding their numerators.
\frac{25}{2}
Add 19 and 6 to get 25.
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}