Evaluate
\frac{171}{4}=42.75
Factor
\frac{3 ^ {2} \cdot 19}{2 ^ {2}} = 42\frac{3}{4} = 42.75
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9+4+6+7+8+8+\frac{6}{8}
Add 5 and 4 to get 9.
13+6+7+8+8+\frac{6}{8}
Add 9 and 4 to get 13.
19+7+8+8+\frac{6}{8}
Add 13 and 6 to get 19.
26+8+8+\frac{6}{8}
Add 19 and 7 to get 26.
34+8+\frac{6}{8}
Add 26 and 8 to get 34.
42+\frac{6}{8}
Add 34 and 8 to get 42.
42+\frac{3}{4}
Reduce the fraction \frac{6}{8} to lowest terms by extracting and canceling out 2.
\frac{168}{4}+\frac{3}{4}
Convert 42 to fraction \frac{168}{4}.
\frac{168+3}{4}
Since \frac{168}{4} and \frac{3}{4} have the same denominator, add them by adding their numerators.
\frac{171}{4}
Add 168 and 3 to get 171.
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}