Evaluate
31.4
Factor
\frac{157}{5} = 31\frac{2}{5} = 31.4
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\frac{12.56\times 1.8\times \frac{1}{3}}{0.24}
Multiply 4 and 3.14 to get 12.56.
\frac{22.608\times \frac{1}{3}}{0.24}
Multiply 12.56 and 1.8 to get 22.608.
\frac{\frac{2826}{125}\times \frac{1}{3}}{0.24}
Convert decimal number 22.608 to fraction \frac{22608}{1000}. Reduce the fraction \frac{22608}{1000} to lowest terms by extracting and canceling out 8.
\frac{\frac{2826\times 1}{125\times 3}}{0.24}
Multiply \frac{2826}{125} times \frac{1}{3} by multiplying numerator times numerator and denominator times denominator.
\frac{\frac{2826}{375}}{0.24}
Do the multiplications in the fraction \frac{2826\times 1}{125\times 3}.
\frac{\frac{942}{125}}{0.24}
Reduce the fraction \frac{2826}{375} to lowest terms by extracting and canceling out 3.
\frac{942}{125\times 0.24}
Express \frac{\frac{942}{125}}{0.24} as a single fraction.
\frac{942}{30}
Multiply 125 and 0.24 to get 30.
\frac{157}{5}
Reduce the fraction \frac{942}{30} to lowest terms by extracting and canceling out 6.
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}