Evaluate
\frac{224}{75}\approx 2.986666667
Factor
\frac{7 \cdot 2 ^ {5}}{3 \cdot 5 ^ {2}} = 2\frac{74}{75} = 2.986666666666667
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\frac{4\times 2}{3}+0.32
Express \frac{4}{3}\times 2 as a single fraction.
\frac{8}{3}+0.32
Multiply 4 and 2 to get 8.
\frac{8}{3}+\frac{8}{25}
Convert decimal number 0.32 to fraction \frac{32}{100}. Reduce the fraction \frac{32}{100} to lowest terms by extracting and canceling out 4.
\frac{200}{75}+\frac{24}{75}
Least common multiple of 3 and 25 is 75. Convert \frac{8}{3} and \frac{8}{25} to fractions with denominator 75.
\frac{200+24}{75}
Since \frac{200}{75} and \frac{24}{75} have the same denominator, add them by adding their numerators.
\frac{224}{75}
Add 200 and 24 to get 224.
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}