Evaluate
\frac{x+2}{4}
Expand
\frac{x}{4}+\frac{1}{2}
Graph
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\frac{1}{8}\times 2x+\frac{1}{8}\times 4
Use the distributive property to multiply \frac{1}{8} by 2x+4.
\frac{2}{8}x+\frac{1}{8}\times 4
Multiply \frac{1}{8} and 2 to get \frac{2}{8}.
\frac{1}{4}x+\frac{1}{8}\times 4
Reduce the fraction \frac{2}{8} to lowest terms by extracting and canceling out 2.
\frac{1}{4}x+\frac{4}{8}
Multiply \frac{1}{8} and 4 to get \frac{4}{8}.
\frac{1}{4}x+\frac{1}{2}
Reduce the fraction \frac{4}{8} to lowest terms by extracting and canceling out 4.
\frac{1}{8}\times 2x+\frac{1}{8}\times 4
Use the distributive property to multiply \frac{1}{8} by 2x+4.
\frac{2}{8}x+\frac{1}{8}\times 4
Multiply \frac{1}{8} and 2 to get \frac{2}{8}.
\frac{1}{4}x+\frac{1}{8}\times 4
Reduce the fraction \frac{2}{8} to lowest terms by extracting and canceling out 2.
\frac{1}{4}x+\frac{4}{8}
Multiply \frac{1}{8} and 4 to get \frac{4}{8}.
\frac{1}{4}x+\frac{1}{2}
Reduce the fraction \frac{4}{8} to lowest terms by extracting and canceling out 4.
Examples
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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}