Evaluate
14.7
Factor
\frac{3 \cdot 7 ^ {2}}{2 \cdot 5} = 14\frac{7}{10} = 14.7
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0+\frac{1}{2}\times 7.35\times 2^{2}
Multiply 0 and 2 to get 0.
0+\frac{1}{2}\times \frac{147}{20}\times 2^{2}
Convert decimal number 7.35 to fraction \frac{735}{100}. Reduce the fraction \frac{735}{100} to lowest terms by extracting and canceling out 5.
0+\frac{1\times 147}{2\times 20}\times 2^{2}
Multiply \frac{1}{2} times \frac{147}{20} by multiplying numerator times numerator and denominator times denominator.
0+\frac{147}{40}\times 2^{2}
Do the multiplications in the fraction \frac{1\times 147}{2\times 20}.
0+\frac{147}{40}\times 4
Calculate 2 to the power of 2 and get 4.
0+\frac{147\times 4}{40}
Express \frac{147}{40}\times 4 as a single fraction.
0+\frac{588}{40}
Multiply 147 and 4 to get 588.
0+\frac{147}{10}
Reduce the fraction \frac{588}{40} to lowest terms by extracting and canceling out 4.
\frac{147}{10}
Add 0 and \frac{147}{10} to get \frac{147}{10}.
Examples
Quadratic equation
{ x } ^ { 2 } - 4 x - 5 = 0
Trigonometry
4 \sin \theta \cos \theta = 2 \sin \theta
Linear equation
y = 3x + 4
Arithmetic
699 * 533
Matrix
\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}