Evaluate
30
Factor
2\times 3\times 5
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\frac{50}{3}+\frac{50}{3}\times 0.8
Multiply \frac{50}{3} and 1 to get \frac{50}{3}.
\frac{50}{3}+\frac{50}{3}\times \frac{4}{5}
Convert decimal number 0.8 to fraction \frac{8}{10}. Reduce the fraction \frac{8}{10} to lowest terms by extracting and canceling out 2.
\frac{50}{3}+\frac{50\times 4}{3\times 5}
Multiply \frac{50}{3} times \frac{4}{5} by multiplying numerator times numerator and denominator times denominator.
\frac{50}{3}+\frac{200}{15}
Do the multiplications in the fraction \frac{50\times 4}{3\times 5}.
\frac{50}{3}+\frac{40}{3}
Reduce the fraction \frac{200}{15} to lowest terms by extracting and canceling out 5.
\frac{50+40}{3}
Since \frac{50}{3} and \frac{40}{3} have the same denominator, add them by adding their numerators.
\frac{90}{3}
Add 50 and 40 to get 90.
30
Divide 90 by 3 to get 30.
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y = 3x + 4
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Matrix
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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}