Evaluate
27.56
Factor
\frac{13 \cdot 53}{5 ^ {2}} = 27\frac{14}{25} = 27.56
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15.36+\frac{60+1}{5}
Multiply 12 and 5 to get 60.
15.36+\frac{61}{5}
Add 60 and 1 to get 61.
\frac{384}{25}+\frac{61}{5}
Convert decimal number 15.36 to fraction \frac{1536}{100}. Reduce the fraction \frac{1536}{100} to lowest terms by extracting and canceling out 4.
\frac{384}{25}+\frac{305}{25}
Least common multiple of 25 and 5 is 25. Convert \frac{384}{25} and \frac{61}{5} to fractions with denominator 25.
\frac{384+305}{25}
Since \frac{384}{25} and \frac{305}{25} have the same denominator, add them by adding their numerators.
\frac{689}{25}
Add 384 and 305 to get 689.
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}