Evaluate
24.82
Factor
\frac{17 \cdot 73}{2 \cdot 5 ^ {2}} = 24\frac{41}{50} = 24.82
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31.22-\frac{16}{2.5}
Add 3.15 and 28.07 to get 31.22.
31.22-\frac{160}{25}
Expand \frac{16}{2.5} by multiplying both numerator and the denominator by 10.
31.22-\frac{32}{5}
Reduce the fraction \frac{160}{25} to lowest terms by extracting and canceling out 5.
\frac{1561}{50}-\frac{32}{5}
Convert decimal number 31.22 to fraction \frac{3122}{100}. Reduce the fraction \frac{3122}{100} to lowest terms by extracting and canceling out 2.
\frac{1561}{50}-\frac{320}{50}
Least common multiple of 50 and 5 is 50. Convert \frac{1561}{50} and \frac{32}{5} to fractions with denominator 50.
\frac{1561-320}{50}
Since \frac{1561}{50} and \frac{320}{50} have the same denominator, subtract them by subtracting their numerators.
\frac{1241}{50}
Subtract 320 from 1561 to get 1241.
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}