Evaluate
\frac{82}{15}\approx 5.466666667
Factor
\frac{2 \cdot 41}{3 \cdot 5} = 5\frac{7}{15} = 5.466666666666667
Quiz
Arithmetic
5 problems similar to:
3 \frac { 4 } { 5 } + 6 \frac { 1 } { 4 } : 3 \frac { 3 } { 4 }
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\frac{15+4}{5}+\frac{\frac{6\times 4+1}{4}}{\frac{3\times 4+3}{4}}
Multiply 3 and 5 to get 15.
\frac{19}{5}+\frac{\frac{6\times 4+1}{4}}{\frac{3\times 4+3}{4}}
Add 15 and 4 to get 19.
\frac{19}{5}+\frac{\left(6\times 4+1\right)\times 4}{4\left(3\times 4+3\right)}
Divide \frac{6\times 4+1}{4} by \frac{3\times 4+3}{4} by multiplying \frac{6\times 4+1}{4} by the reciprocal of \frac{3\times 4+3}{4}.
\frac{19}{5}+\frac{1+4\times 6}{3+3\times 4}
Cancel out 4 in both numerator and denominator.
\frac{19}{5}+\frac{1+24}{3+3\times 4}
Multiply 4 and 6 to get 24.
\frac{19}{5}+\frac{25}{3+3\times 4}
Add 1 and 24 to get 25.
\frac{19}{5}+\frac{25}{3+12}
Multiply 3 and 4 to get 12.
\frac{19}{5}+\frac{25}{15}
Add 3 and 12 to get 15.
\frac{19}{5}+\frac{5}{3}
Reduce the fraction \frac{25}{15} to lowest terms by extracting and canceling out 5.
\frac{57}{15}+\frac{25}{15}
Least common multiple of 5 and 3 is 15. Convert \frac{19}{5} and \frac{5}{3} to fractions with denominator 15.
\frac{57+25}{15}
Since \frac{57}{15} and \frac{25}{15} have the same denominator, add them by adding their numerators.
\frac{82}{15}
Add 57 and 25 to get 82.
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}