Evaluate
\frac{44}{15}\approx 2.933333333
Factor
\frac{11 \cdot 2 ^ {2}}{3 \cdot 5} = 2\frac{14}{15} = 2.933333333333333
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0.65+1.25+0.2+\frac{2.5}{3}
Add 0.25 and 0.4 to get 0.65.
1.9+0.2+\frac{2.5}{3}
Add 0.65 and 1.25 to get 1.9.
2.1+\frac{2.5}{3}
Add 1.9 and 0.2 to get 2.1.
2.1+\frac{25}{30}
Expand \frac{2.5}{3} by multiplying both numerator and the denominator by 10.
2.1+\frac{5}{6}
Reduce the fraction \frac{25}{30} to lowest terms by extracting and canceling out 5.
\frac{21}{10}+\frac{5}{6}
Convert decimal number 2.1 to fraction \frac{21}{10}.
\frac{63}{30}+\frac{25}{30}
Least common multiple of 10 and 6 is 30. Convert \frac{21}{10} and \frac{5}{6} to fractions with denominator 30.
\frac{63+25}{30}
Since \frac{63}{30} and \frac{25}{30} have the same denominator, add them by adding their numerators.
\frac{88}{30}
Add 63 and 25 to get 88.
\frac{44}{15}
Reduce the fraction \frac{88}{30} to lowest terms by extracting and canceling out 2.
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}