Evaluate
\frac{46}{15}\approx 3.066666667
Factor
\frac{2 \cdot 23}{3 \cdot 5} = 3\frac{1}{15} = 3.066666666666667
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-\frac{12}{30}-\frac{25}{30}-\left(-4.9\right)-0.6
Least common multiple of 5 and 6 is 30. Convert -\frac{2}{5} and \frac{5}{6} to fractions with denominator 30.
\frac{-12-25}{30}-\left(-4.9\right)-0.6
Since -\frac{12}{30} and \frac{25}{30} have the same denominator, subtract them by subtracting their numerators.
-\frac{37}{30}-\left(-4.9\right)-0.6
Subtract 25 from -12 to get -37.
-\frac{37}{30}+4.9-0.6
The opposite of -4.9 is 4.9.
-\frac{37}{30}+\frac{49}{10}-0.6
Convert decimal number 4.9 to fraction \frac{49}{10}.
-\frac{37}{30}+\frac{147}{30}-0.6
Least common multiple of 30 and 10 is 30. Convert -\frac{37}{30} and \frac{49}{10} to fractions with denominator 30.
\frac{-37+147}{30}-0.6
Since -\frac{37}{30} and \frac{147}{30} have the same denominator, add them by adding their numerators.
\frac{110}{30}-0.6
Add -37 and 147 to get 110.
\frac{11}{3}-0.6
Reduce the fraction \frac{110}{30} to lowest terms by extracting and canceling out 10.
\frac{11}{3}-\frac{3}{5}
Convert decimal number 0.6 to fraction \frac{6}{10}. Reduce the fraction \frac{6}{10} to lowest terms by extracting and canceling out 2.
\frac{55}{15}-\frac{9}{15}
Least common multiple of 3 and 5 is 15. Convert \frac{11}{3} and \frac{3}{5} to fractions with denominator 15.
\frac{55-9}{15}
Since \frac{55}{15} and \frac{9}{15} have the same denominator, subtract them by subtracting their numerators.
\frac{46}{15}
Subtract 9 from 55 to get 46.
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}