Evaluate
\frac{2512}{75}\approx 33.493333333
Factor
\frac{157 \cdot 2 ^ {4}}{3 \cdot 5 ^ {2}} = 33\frac{37}{75} = 33.49333333333333
Share
Copied to clipboard
\frac{4}{3}\times \frac{157}{50}\times 2\times 2\times 2
Convert decimal number 3.14 to fraction \frac{314}{100}. Reduce the fraction \frac{314}{100} to lowest terms by extracting and canceling out 2.
\frac{4\times 157}{3\times 50}\times 2\times 2\times 2
Multiply \frac{4}{3} times \frac{157}{50} by multiplying numerator times numerator and denominator times denominator.
\frac{628}{150}\times 2\times 2\times 2
Do the multiplications in the fraction \frac{4\times 157}{3\times 50}.
\frac{314}{75}\times 2\times 2\times 2
Reduce the fraction \frac{628}{150} to lowest terms by extracting and canceling out 2.
\frac{314\times 2}{75}\times 2\times 2
Express \frac{314}{75}\times 2 as a single fraction.
\frac{628}{75}\times 2\times 2
Multiply 314 and 2 to get 628.
\frac{628\times 2}{75}\times 2
Express \frac{628}{75}\times 2 as a single fraction.
\frac{1256}{75}\times 2
Multiply 628 and 2 to get 1256.
\frac{1256\times 2}{75}
Express \frac{1256}{75}\times 2 as a single fraction.
\frac{2512}{75}
Multiply 1256 and 2 to get 2512.
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}