Evaluate
5.18
Factor
\frac{7 \cdot 37}{2 \cdot 5 ^ {2}} = 5\frac{9}{50} = 5.18
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6.5-\frac{25+8}{25}
Multiply 1 and 25 to get 25.
6.5-\frac{33}{25}
Add 25 and 8 to get 33.
\frac{13}{2}-\frac{33}{25}
Convert decimal number 6.5 to fraction \frac{65}{10}. Reduce the fraction \frac{65}{10} to lowest terms by extracting and canceling out 5.
\frac{325}{50}-\frac{66}{50}
Least common multiple of 2 and 25 is 50. Convert \frac{13}{2} and \frac{33}{25} to fractions with denominator 50.
\frac{325-66}{50}
Since \frac{325}{50} and \frac{66}{50} have the same denominator, subtract them by subtracting their numerators.
\frac{259}{50}
Subtract 66 from 325 to get 259.
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}