Evaluate
4.2
Factor
\frac{3 \cdot 7}{5} = 4\frac{1}{5} = 4.2
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\frac{6.4+3.4+4.2+4.2+4.6+4.6+4.6+5.8}{9}
Add 3.2 and 3.2 to get 6.4.
\frac{9.8+4.2+4.2+4.6+4.6+4.6+5.8}{9}
Add 6.4 and 3.4 to get 9.8.
\frac{14+4.2+4.6+4.6+4.6+5.8}{9}
Add 9.8 and 4.2 to get 14.
\frac{18.2+4.6+4.6+4.6+5.8}{9}
Add 14 and 4.2 to get 18.2.
\frac{22.8+4.6+4.6+5.8}{9}
Add 18.2 and 4.6 to get 22.8.
\frac{27.4+4.6+5.8}{9}
Add 22.8 and 4.6 to get 27.4.
\frac{32+5.8}{9}
Add 27.4 and 4.6 to get 32.
\frac{37.8}{9}
Add 32 and 5.8 to get 37.8.
\frac{378}{90}
Expand \frac{37.8}{9} by multiplying both numerator and the denominator by 10.
\frac{21}{5}
Reduce the fraction \frac{378}{90} to lowest terms by extracting and canceling out 18.
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}