Evaluate
\frac{3x}{10}+0.15
Expand
\frac{3x}{10}+0.15
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0.3x+0.3\times \frac{1}{2}
Use the distributive property to multiply 0.3 by x+\frac{1}{2}.
0.3x+\frac{3}{10}\times \frac{1}{2}
Convert decimal number 0.3 to fraction \frac{3}{10}.
0.3x+\frac{3\times 1}{10\times 2}
Multiply \frac{3}{10} times \frac{1}{2} by multiplying numerator times numerator and denominator times denominator.
0.3x+\frac{3}{20}
Do the multiplications in the fraction \frac{3\times 1}{10\times 2}.
0.3x+0.3\times \frac{1}{2}
Use the distributive property to multiply 0.3 by x+\frac{1}{2}.
0.3x+\frac{3}{10}\times \frac{1}{2}
Convert decimal number 0.3 to fraction \frac{3}{10}.
0.3x+\frac{3\times 1}{10\times 2}
Multiply \frac{3}{10} times \frac{1}{2} by multiplying numerator times numerator and denominator times denominator.
0.3x+\frac{3}{20}
Do the multiplications in the fraction \frac{3\times 1}{10\times 2}.
Examples
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y = 3x + 4
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\left[ \begin{array} { l l } { 2 } & { 3 } \\ { 5 } & { 4 } \end{array} \right] \left[ \begin{array} { l l l } { 2 } & { 0 } & { 3 } \\ { -1 } & { 1 } & { 5 } \end{array} \right]
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}