Evaluate
5.82
Factor
\frac{3 \cdot 97}{2 \cdot 5 ^ {2}} = 5\frac{41}{50} = 5.82
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1.1+0.2+0.5+1+1+0.5+1+0.5+\frac{0.2}{10}
Add 0.6 and 0.5 to get 1.1.
1.3+0.5+1+1+0.5+1+0.5+\frac{0.2}{10}
Add 1.1 and 0.2 to get 1.3.
1.8+1+1+0.5+1+0.5+\frac{0.2}{10}
Add 1.3 and 0.5 to get 1.8.
2.8+1+0.5+1+0.5+\frac{0.2}{10}
Add 1.8 and 1 to get 2.8.
3.8+0.5+1+0.5+\frac{0.2}{10}
Add 2.8 and 1 to get 3.8.
4.3+1+0.5+\frac{0.2}{10}
Add 3.8 and 0.5 to get 4.3.
5.3+0.5+\frac{0.2}{10}
Add 4.3 and 1 to get 5.3.
5.8+\frac{0.2}{10}
Add 5.3 and 0.5 to get 5.8.
5.8+\frac{2}{100}
Expand \frac{0.2}{10} by multiplying both numerator and the denominator by 10.
5.8+\frac{1}{50}
Reduce the fraction \frac{2}{100} to lowest terms by extracting and canceling out 2.
\frac{29}{5}+\frac{1}{50}
Convert decimal number 5.8 to fraction \frac{58}{10}. Reduce the fraction \frac{58}{10} to lowest terms by extracting and canceling out 2.
\frac{290}{50}+\frac{1}{50}
Least common multiple of 5 and 50 is 50. Convert \frac{29}{5} and \frac{1}{50} to fractions with denominator 50.
\frac{290+1}{50}
Since \frac{290}{50} and \frac{1}{50} have the same denominator, add them by adding their numerators.
\frac{291}{50}
Add 290 and 1 to get 291.
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}