- 47 - 0,25 + 44 + 075 + 1 / 2
Evaluate
72,25
Factor
\frac{17 ^ {2}}{2 ^ {2}} = 72\frac{1}{4} = 72.25
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-47,25+44+75+\frac{1}{2}
Subtract 0,25 from -47 to get -47,25.
-3,25+75+\frac{1}{2}
Add -47,25 and 44 to get -3,25.
71,75+\frac{1}{2}
Add -3,25 and 75 to get 71,75.
\frac{287}{4}+\frac{1}{2}
Convert decimal number 71,75 to fraction \frac{7175}{100}. Reduce the fraction \frac{7175}{100} to lowest terms by extracting and canceling out 25.
\frac{287}{4}+\frac{2}{4}
Least common multiple of 4 and 2 is 4. Convert \frac{287}{4} and \frac{1}{2} to fractions with denominator 4.
\frac{287+2}{4}
Since \frac{287}{4} and \frac{2}{4} have the same denominator, add them by adding their numerators.
\frac{289}{4}
Add 287 and 2 to get 289.
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}