Evaluate
\frac{x}{2}+4.1
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\frac{x}{2}+4.1
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\frac{1}{2}x+\frac{1}{2}\times 8.2
Use the distributive property to multiply \frac{1}{2} by x+8.2.
\frac{1}{2}x+\frac{1}{2}\times \frac{41}{5}
Convert decimal number 8.2 to fraction \frac{82}{10}. Reduce the fraction \frac{82}{10} to lowest terms by extracting and canceling out 2.
\frac{1}{2}x+\frac{1\times 41}{2\times 5}
Multiply \frac{1}{2} times \frac{41}{5} by multiplying numerator times numerator and denominator times denominator.
\frac{1}{2}x+\frac{41}{10}
Do the multiplications in the fraction \frac{1\times 41}{2\times 5}.
\frac{1}{2}x+\frac{1}{2}\times 8.2
Use the distributive property to multiply \frac{1}{2} by x+8.2.
\frac{1}{2}x+\frac{1}{2}\times \frac{41}{5}
Convert decimal number 8.2 to fraction \frac{82}{10}. Reduce the fraction \frac{82}{10} to lowest terms by extracting and canceling out 2.
\frac{1}{2}x+\frac{1\times 41}{2\times 5}
Multiply \frac{1}{2} times \frac{41}{5} by multiplying numerator times numerator and denominator times denominator.
\frac{1}{2}x+\frac{41}{10}
Do the multiplications in the fraction \frac{1\times 41}{2\times 5}.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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4 \sin \theta \cos \theta = 2 \sin \theta
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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}