3 \frac { 5 } { 6 } + 1,75
Evaluate
\frac{67}{12}\approx 5,583333333
Factor
\frac{67}{3 \cdot 2 ^ {2}} = 5\frac{7}{12} = 5.583333333333333
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\frac{18+5}{6}+1,75
Multiply 3 and 6 to get 18.
\frac{23}{6}+1,75
Add 18 and 5 to get 23.
\frac{23}{6}+\frac{7}{4}
Convert decimal number 1,75 to fraction \frac{175}{100}. Reduce the fraction \frac{175}{100} to lowest terms by extracting and canceling out 25.
\frac{46}{12}+\frac{21}{12}
Least common multiple of 6 and 4 is 12. Convert \frac{23}{6} and \frac{7}{4} to fractions with denominator 12.
\frac{46+21}{12}
Since \frac{46}{12} and \frac{21}{12} have the same denominator, add them by adding their numerators.
\frac{67}{12}
Add 46 and 21 to get 67.
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}