Evaluate
\frac{5809}{225}\approx 25.817777778
Factor
\frac{37 \cdot 157}{3 ^ {2} \cdot 5 ^ {2}} = 25\frac{184}{225} = 25.817777777777778
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\frac{8\times 8}{4.8\times 4.8}+4.8\times 4.8
Express \frac{\frac{8\times 8}{4.8}}{4.8} as a single fraction.
\frac{64}{4.8\times 4.8}+4.8\times 4.8
Multiply 8 and 8 to get 64.
\frac{64}{23.04}+4.8\times 4.8
Multiply 4.8 and 4.8 to get 23.04.
\frac{6400}{2304}+4.8\times 4.8
Expand \frac{64}{23.04} by multiplying both numerator and the denominator by 100.
\frac{25}{9}+4.8\times 4.8
Reduce the fraction \frac{6400}{2304} to lowest terms by extracting and canceling out 256.
\frac{25}{9}+23.04
Multiply 4.8 and 4.8 to get 23.04.
\frac{25}{9}+\frac{576}{25}
Convert decimal number 23.04 to fraction \frac{2304}{100}. Reduce the fraction \frac{2304}{100} to lowest terms by extracting and canceling out 4.
\frac{625}{225}+\frac{5184}{225}
Least common multiple of 9 and 25 is 225. Convert \frac{25}{9} and \frac{576}{25} to fractions with denominator 225.
\frac{625+5184}{225}
Since \frac{625}{225} and \frac{5184}{225} have the same denominator, add them by adding their numerators.
\frac{5809}{225}
Add 625 and 5184 to get 5809.
Examples
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{ 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}