Evaluate
\frac{1568}{75}\approx 20.906666667
Factor
\frac{2 ^ {5} \cdot 7 ^ {2}}{3 \cdot 5 ^ {2}} = 20\frac{68}{75} = 20.906666666666666
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17.92+\frac{8.96}{3}
Add 8.98 and 8.94 to get 17.92.
17.92+\frac{896}{300}
Expand \frac{8.96}{3} by multiplying both numerator and the denominator by 100.
17.92+\frac{224}{75}
Reduce the fraction \frac{896}{300} to lowest terms by extracting and canceling out 4.
\frac{448}{25}+\frac{224}{75}
Convert decimal number 17.92 to fraction \frac{1792}{100}. Reduce the fraction \frac{1792}{100} to lowest terms by extracting and canceling out 4.
\frac{1344}{75}+\frac{224}{75}
Least common multiple of 25 and 75 is 75. Convert \frac{448}{25} and \frac{224}{75} to fractions with denominator 75.
\frac{1344+224}{75}
Since \frac{1344}{75} and \frac{224}{75} have the same denominator, add them by adding their numerators.
\frac{1568}{75}
Add 1344 and 224 to get 1568.
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}