Evaluate
\frac{3x}{4}+\frac{1}{20}
Expand
\frac{3x}{4}+\frac{1}{20}
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\frac{1}{4}\times \frac{1}{5}+\frac{1}{4}\times 3x
Use the distributive property to multiply \frac{1}{4} by \frac{1}{5}+3x.
\frac{1\times 1}{4\times 5}+\frac{1}{4}\times 3x
Multiply \frac{1}{4} times \frac{1}{5} by multiplying numerator times numerator and denominator times denominator.
\frac{1}{20}+\frac{1}{4}\times 3x
Do the multiplications in the fraction \frac{1\times 1}{4\times 5}.
\frac{1}{20}+\frac{3}{4}x
Multiply \frac{1}{4} and 3 to get \frac{3}{4}.
\frac{1}{4}\times \frac{1}{5}+\frac{1}{4}\times 3x
Use the distributive property to multiply \frac{1}{4} by \frac{1}{5}+3x.
\frac{1\times 1}{4\times 5}+\frac{1}{4}\times 3x
Multiply \frac{1}{4} times \frac{1}{5} by multiplying numerator times numerator and denominator times denominator.
\frac{1}{20}+\frac{1}{4}\times 3x
Do the multiplications in the fraction \frac{1\times 1}{4\times 5}.
\frac{1}{20}+\frac{3}{4}x
Multiply \frac{1}{4} and 3 to get \frac{3}{4}.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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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}