Evaluate
\frac{5200000}{3}\approx 1733333.333333333
Factor
\frac{13 \cdot 2 ^ {7} \cdot 5 ^ {5}}{3} = 1733333\frac{1}{3} = 1733333.3333333333
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1600000+\frac{640000}{\left(1-\left(0.3+0.1\right)\right)\times 8}
Express \frac{\frac{640000}{1-\left(0.3+0.1\right)}}{8} as a single fraction.
1600000+\frac{640000}{\left(1-0.4\right)\times 8}
Add 0.3 and 0.1 to get 0.4.
1600000+\frac{640000}{0.6\times 8}
Subtract 0.4 from 1 to get 0.6.
1600000+\frac{640000}{4.8}
Multiply 0.6 and 8 to get 4.8.
1600000+\frac{6400000}{48}
Expand \frac{640000}{4.8} by multiplying both numerator and the denominator by 10.
1600000+\frac{400000}{3}
Reduce the fraction \frac{6400000}{48} to lowest terms by extracting and canceling out 16.
\frac{4800000}{3}+\frac{400000}{3}
Convert 1600000 to fraction \frac{4800000}{3}.
\frac{4800000+400000}{3}
Since \frac{4800000}{3} and \frac{400000}{3} have the same denominator, add them by adding their numerators.
\frac{5200000}{3}
Add 4800000 and 400000 to get 5200000.
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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}