Evaluate
\frac{x}{81}+\frac{1}{3}
Expand
\frac{x}{81}+\frac{1}{3}
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\frac{1}{9}x\times \frac{1}{9}+3\times \frac{1}{9}
Use the distributive property to multiply \frac{1}{9}x+3 by \frac{1}{9}.
\frac{1\times 1}{9\times 9}x+3\times \frac{1}{9}
Multiply \frac{1}{9} times \frac{1}{9} by multiplying numerator times numerator and denominator times denominator.
\frac{1}{81}x+3\times \frac{1}{9}
Do the multiplications in the fraction \frac{1\times 1}{9\times 9}.
\frac{1}{81}x+\frac{3}{9}
Multiply 3 and \frac{1}{9} to get \frac{3}{9}.
\frac{1}{81}x+\frac{1}{3}
Reduce the fraction \frac{3}{9} to lowest terms by extracting and canceling out 3.
\frac{1}{9}x\times \frac{1}{9}+3\times \frac{1}{9}
Use the distributive property to multiply \frac{1}{9}x+3 by \frac{1}{9}.
\frac{1\times 1}{9\times 9}x+3\times \frac{1}{9}
Multiply \frac{1}{9} times \frac{1}{9} by multiplying numerator times numerator and denominator times denominator.
\frac{1}{81}x+3\times \frac{1}{9}
Do the multiplications in the fraction \frac{1\times 1}{9\times 9}.
\frac{1}{81}x+\frac{3}{9}
Multiply 3 and \frac{1}{9} to get \frac{3}{9}.
\frac{1}{81}x+\frac{1}{3}
Reduce the fraction \frac{3}{9} to lowest terms by extracting and canceling out 3.
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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 ) }
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Limits
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